Compare the dimensions of the prisms. How many times greater is the surface area of the red prism than the surface area of the blue prism?
4 m
3m
2m
12 m
The dimensions of the red prism are
The surface area of the red prism is
9 m
6 m
times the dimensions of the blue prism.
times the surface area of the blue prism.

Compare The Dimensions Of The Prisms. How Many Times Greater Is The Surface Area Of The Red Prism Than

Answers

Answer 1

Answer:

3, 9

Step-by-step explanation:

Surface A = 2(wl + hl + hw)

Where in the red prism, l is 12, w is 6, h is 9 and in the red prism l is 4, w is 2, h is 3

Lenght 12/4 =3

Width 6/2 =3

Height 9/3 =3

Calculate surface are of red prism

SA = 2( 6x12 + 9x12 + 9x6)

SA = 2( 72 +108+54)

SA = 2(234) = 468 m²

Calculate surface area of blue prism

SA = 2(2x4 + 3x4 + 3x2)

SA = 2(8 +12+6)

SA = 2(26)

SA =52

Area of red /area of blue = 468/52

Ans =9


Related Questions

Let \( A=\left[\begin{array}{rrr}-2 & -5 & -13 \\ 4 & 5 & 11 \\ 1 & 2 & 6\end{array}\right] \) Find the third column of \( A^{-1} \) without computing the other two columns. How can the third column o

Answers

The third column of the inverse of the matrix, A = [tex]\begin{bmatrix}-2 & -5 & -13 \\4 &5 &11 \\1 &2 &6 \\\end{bmatrix}[/tex], obtained using the product of A and the third column of A⁻¹ is; [tex]\begin{bmatrix} 1 \\ -3\\ 1 \\\end{bmatrix}[/tex]

What is an inverse of a matrix?

The product of a matrix and the inverse of the matrix is the multiplicative identity.

The specified matrix can be presented as follows;

A = [tex]\begin{bmatrix}-2 & -5 & -13 \\4 & 5 & 11 \\1 &2 & 6 \\\end{bmatrix}[/tex]

The third columns of the inverse of the matrix, A, A⁻¹, can be obtained without computing the other two columns, as follows;

The inverse of the matrix A, A⁻¹ is the solution of the following matrix equation;

Ax = [tex]e_i[/tex]

Where;

[tex]e_i[/tex] = The column i of the identity matrix

x = The third column of the inverse matrix

Therefore, for the third column, we get;

[tex]e_i[/tex] = [tex]e_3[/tex] = [tex]\begin{bmatrix}0 \\ 0\\1\\\end{bmatrix}[/tex]

Ax = [tex]e_3[/tex] = [tex]\begin{bmatrix}0 \\ 0\\1\\\end{bmatrix}[/tex]

Therefore;

x = [tex]e_i[/tex]/X, which using a graphing calculator, indicates;

[tex]x = \frac{\begin{bmatrix}0 \\ 0\\1\\\end{bmatrix}}{\begin{bmatrix}-2 & -5 & -13 \\4 & 5 & 11 \\1 &2 & 6 \\\end{bmatrix}} = \begin{bmatrix}1 \\ -3\\1\\\end{bmatrix}[/tex]

The third column of the inverse matrix is; [tex]\begin{bmatrix}1 \\ -3\\1\\\end{bmatrix}[/tex]

Learn more on the inverse of a matrix here: https://brainly.com/question/20663530

#SPJ1

What is the equation of parabola with focus (4,5) and a directrix y =-1

Answers

The equation of the parabola with focus (4,5) and directrix y=-1 is

[tex](y-5)^2=4(x-4) or (y+1)^2=4(x-4).[/tex]

The equation of a parabola is defined by its focus and directrix. The focus is the point on the parabola that is used to determine its shape, while the directrix is the line used to determine its orientation. The equation of the parabola with focus (4,5) and directrix y=-1 is[tex](y-5)^2=4(x-4)[/tex]. This equation can be expressed in terms of the focus and directrix by substituting the x and y values of the focus and directrix into the equation. Substituting the x value of the focus (4) into the equation gives us[tex](y-5)^2=4(4-4)[/tex], which simplifies to[tex](y-5)^2=0[/tex]. This equation can be rearranged to give us y=5, which is the y value of the focus. Substituting the y value of the directrix (-1) into the equation gives us [tex](y+1)^2=4(x-4)[/tex]. This equation can also be rearranged to give us y=-1, which is the y value of the directrix. Therefore, the equation of the parabola with focus (4,5) and directrix y=-1 is[tex](y-5)^2=4(x-4)[/tex] or[tex](y+1)^2=4(x-4)[/tex].

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

In rectangle QRST , QS=30-2x and RT=9+x . Find the lengths of the diagonals of QRST

Answers

Answer:

Each of the diagonals is 16

Step-by-step explanation:

The diagonals of a rectangular are equal

The two diagonals are QS and RT

QS = RT

→ 30 - 2x = 9 + x

Subtract 30 both sides:
30 - 30 - 2x = 9  -  30 + x

- 2x  = -21  + x


Subtract x both sides
-2x - x = -21 + x  -  x

-3x = -21

x = -21/-3 = 7

So the diagonal RT = 9 + 7 =16

should be the same as diagonal QS
Qs = 30 - 2(7) = 30 - 14 = 16

SOMEBODY PLEASE HELP ME I'M DROWNING IN THIS WORK​

Answers

The surface area of the triangular prism is 156.5 inches².

How to find the surface area of a prism?

The surface area of a triangular prism can be found as follows:

Therefore, the prism is a triangular prism. The prism has two triangular base with side length 5 inches each. The height of the triangular bases are 4.3 inches each.

The height of the triangular prism is 9 inches. The surface area of the triangular prism is the sum of the whole individual area of each surface of the prism.

Hence,

surface area of the prism = bh + l(s₁ + s₂ + s₃)

Therefore,

surface area of the prism = 4.3 × 5 + 9(5 + 5 + 5)

surface area of the prism = 21.5 + 9(15)

surface area of the prism = 21.5 + 135

surface area of the prism = 156.5 inches²

learn more on surface area here: https://brainly.com/question/29298005

#SPJ1

Please answer with formula and how to find it

Answers

Radius is the distance in a straight line from the centre of the circle to its circumference. The diameter is twice the radius. Therefore,  radius and diameter of the circle are 7 and 14 yards respectively.

How to find area of a circle?

The above figure is a circle. The area of the circle is given as 49π yard squared. The question want us to find the radius and diameter of the circle.

Hence,

area of a circle = πr²

where

r = radius of a square

Therefore,

area of the circle = 49π

Hence,

49π = π × r²

divide both sides by π

r² = 49

square root both sides

r = √49

r = 7 yards

The diameter of a circle is twice the radius.

Hence,

diameter of the circle = 7 × 2 = 14 yards

learn more on area here: https://brainly.com/question/28642423

#SPJ1

Renting a roller rink for your birthday costs $ 150 plus $6​ per person. The total charge for your party was $282 Translate this information into an equation using x​ to represent the number of guests at your party.

Answers

The equation to represent the number of guests at your party is 150 + 6x = 282 where, the number of guests at the party, x is 22.

How to write and solve equation?

Let

Cost of renting a roller rink = $150

Cost per person = $6

Total charge of the party = $282

Number of persons at the birthday party = x

The equation:

150 + 6x = 282

subtract 150 from both sides

6x = 282 - 150

6x = 132

divide both sides by 6

x = 132/6

x = 22

Therefore, there are 22 guests at the birthday party.

Read more on equation:

https://brainly.com/question/22688504

#SPJ1

What would be the best way to display the data below to see specific data but still see the shape of the data? line plot bar graph line graph stem-and-leaf graph

Answers

A line graph would be the best way to display the data if you want to see specific data but still see the shape of the data.

Amore scored 15 out of 20 in a test.Write as a percentage​

Answers

Answer:

75%

Step-by-step explanation:

write it as a fraction first, so 15/20.

make the bottom number 100 to get the mark out of 100.

to do this, multiply the bottom by 5 (20x5=100) and then do the same to the top.

you get 75/100. this equals 75%

Answer:

75%

Step-by-step explanation:

In this question, 20 is the highest score you can get on the test so 20 is 100%. We will now want to divide 100 by 20.

100 ÷ 20 = 5

Each score Amore got on the test was worth 5% of the test.

We know he scored 15 on the text, so now we want to multiply 15 with 5.

15 × 5 = 75

Amore scored 75% on his test.

The football booster club raised $750 to take a group of students to a football game. The booster club will pay for the bus to transport the students to the game, the admission tickets to the game, and a meal at the concession stand for each student. The bus to transport the students to the game costs $200. Each admission ticket to the game costs $6.50.If the booster club pays for a medium sandwich, drink, and popcorn for each student, how many more students can go to the game than if the booster club pays for a large sandwich, drink, and popcorn for each student?

Answers

Let's first find the total cost of transportation and admission tickets:

$200 (transportation) + $6.50 (admission ticket) x n (number of students) = $750

$6.50n = $550

n = 84.62

So, the maximum number of students that can go to the game is 84.62. However, we cannot have a fractional number of students, so we can round down to 84 students.

Now, let's find the cost of the meal for each student:

$2.50 (medium sandwich) + $2.00 (drink) + $1.50 (popcorn) = $6.00

If the booster club pays for a large sandwich, drink, and popcorn for each student, the cost will be:

$3.00 (large sandwich) + $2.50 (drink) + $2.00 (popcorn) = $7.50

The difference in cost between the two options is $1.50 per student.

To find how many more students can go to the game with the cheaper meal option, we can divide the total amount of money available ($750) by the difference in cost per student ($1.50):

$750 ÷ $1.50 = 500

So, with the cheaper meal option, the booster club can take 500/6 students = 83 students.

Therefore, the booster club can take 1 more student to the game if they pay for a medium sandwich, drink, and popcorn for each student.

ANSWER FAST!!!
find the missing y value in the table

x y
4 2.5
11 9.5
15 13.5
21 y

Answers

The missing y value in the table can be found to be 19. 5.

How to find the missing value in the table?

To find the missing value, you need to find the relationship that x and y have with each other on the table.

We find that when 4 increases to 11, 2. 5 as y, increases to 9. 5. The difference in both is:

= 11 - 4                                                 = 9. 5  - 2.5

= 7                                                        = 7

We see this common difference again with 15 and 11 being 4 and the difference between the y - values of 13. 5 and 9. 5 being 4 as well.

The y value corresponding to 21 as x would be:

= ( 21 - 15 ) + 13. 5

= 19. 5

Find out more on missing values at https://brainly.com/question/28278023

#SPJ1

Lisa’s job pays $8 per hour, but if she works more than 35 hours per week she is paid 11 times her regular salary for the overtime hours. How much is she paid if she works hours 42 hours in one week?

Answers

Total pay = Regular pay + Overtime pay = $280 + $616 = $896. Therefore, if Lisa works 42 hours in one week, she would be paid $896

The first step is to calculate Lisa's regular pay for the week. We know that her regular hourly rate is $8 per hour. If she works 35 hours or less in a week, then her pay is simply her hourly rate times the number of hours worked. Therefore, her regular pay for a week where she works 35 hours or less would be:

Regular pay = $8/hour * 35 hours = $280

However, we know that Lisa worked 42 hours in one week, which is more than 35 hours. This means she also worked 7 overtime hours. According to the problem, Lisa is paid 11 times her regular salary for any overtime hours worked. This means her overtime pay for the 7 overtime hours would be:

Overtime pay = $8/hour * 11 * 7 hours = $616

To get Lisa's total pay for the week, we simply add her regular pay and overtime pay together:

Total pay = Regular pay + Overtime pay = $280 + $616 = $896

To learn more about hours Click here:
brainly.com/question/13533620

#SPJ4

The cone-shaped paper cup is 2/3 full of sand. What is the volume of the part of the cone that is filled with sand?

Answers

The volume of the part of the cone that is filled with sand is 2/9 times the total volume of the cone.

To do this, we need to first determine the total volume of the cone. The formula for the volume of a cone is:

V = 1/3 x π x r² x h

Where V is the volume, r is the radius of the base of the cone, h is the height of the cone, and π is a mathematical constant (approximately equal to 3.14).

Since we know that the paper cup is cone-shaped, we can assume that it has a circular base. Let's say that the radius of the base of the cone is r and the height of the cone is h.

The total volume of the cone can be calculated using the formula above:

V = 1/3 x π x r² x h

Now we need to determine the volume of the part of the cone that is filled with sand. We know that the cup is 2/3 full of sand, so the volume of sand in the cup is 2/3 of the total volume of the cup. We can express this as:

V = 2/3 x V

We can substitute the formula for V into this equation to get:

V  = 2/3 x (1/3 x π x r² x h)

Simplifying this equation, we get:

V = 2/9 x π x r² x h

To know more about volume here

https://brainly.com/question/11168779

#SPJ4

the iron bank offers a range of financial services and investment opportunities. of its customers, 36% invest in stocks, 22% invest in futures, and 15% invest in both stocks and futures. use this information and the rules of probability to answer the following:Part A: What proportion of Iron Bank customers invest in neither Stocks nor Futures? Part B: Of the Iron Bank customers who invest in Futures, what percentage invest in Stocks? Part C: What is the probability that a randomly selected Iron Bank customer invests in Stocks aud does not invest in Futures?

Answers

Part A: The proportion of Iron Bank customers who invest in neither stocks nor futures is 27%.

Part B: Of the Iron Bank customers who invest in futures, 61.54% also invest in stocks.

Part C: The probability that a randomly selected Iron Bank customer invests in stocks and does not invest in futures is 18.18%.

Part A:  This can be calculated by subtracting the combined proportion of those who invest in stocks (36%) and those who invest in futures (22%) from 100%.

Part B: This can be calculated by dividing the proportion of those who invest in both stocks and futures (15%) by the proportion of those who invest in futures (22%).

Part C: This can be calculated by subtracting the proportion of those who invest in both stocks and futures (15%) from the proportion of those who invest in stocks (36%).


Given, that 36% of the customers are investing in stocks and 15% of those customers are also investing in futures.

So, 21% of the customers invest in stocks and not futures, while 79% of the customers either invest in futures, or in neither stocks nor futures.

Therefore, the probability is 21/100, or 18.18%.

In conclusion, the probability that a randomly selected Iron Bank customer invests in stocks and does not invest in futures is 18.18%. This is calculated by subtracting the proportion of those who invest in both stocks and futures (15%) from the proportion of those who invest in stocks (36%).

Know more about probability here:

https://brainly.com/question/13604758

#SPJ11

A golf coach bought g golf balls. The balls came in 7 packages. Write an expression that shows how many golf balls were in each package.

Answers

Answer:

g/7

Step-by-step explanation:

Answer:G/7

Step-by-step explanation:G/7

Statistics grades: In a statistics class of 42 students, there were 11 men and 31 women. Six of the men and seven of the women received an A in the course. A student is chosen at random from the class.
Give all answers as decimals rounded to 4 digits after the decimal point
(a) Find the probability that the student is a woman.
(b) Find the probability that the student received an A.
(c) Find the probability that the student is a woman or received an A.
(d) Find the probability that the student did not receive an A.

Answers

A is 0.8218

A is 0.6905.

(a) The probability that the student is a woman.The number of women in the class is 31 while the total number of students is 42. The probability of a randomly selected student being a woman is given as:P(woman) = (Number of women in the class) / (Total number of students in the class)P(woman) = 31 / 42P(woman) = 0.7381(b) The probability that the student received an A.The number of men and women that received an A is given as follows:Men that received an A = 6Women that received an A = 7The total number of students that received an A is:Total number of students that received an A = (Number of men that received an A) + (Number of women that received an A)Total number of students that received an A = 6 + 7Total number of students that received an A = 13The probability of a randomly selected student receiving an A is given as:P(A) = (Number of students that received an A) / (Total number of students in the class)P(A) = 13 / 42P(A) = 0.3095(c) The probability that the student is a woman or received an A.The probability of the student being a woman or received an A is given as:P(woman or A) = P(woman) + P(A) - P(woman and A)From parts (a) and (b), we know that:P(woman) = 0.7381P(A) = 0.3095Now, we have to determine the probability that the student is a woman and received an A.The number of women that received an A = 7 while the total number of women in the class is 31.The probability of a woman receiving an A is given as:P(woman and A) = (Number of women that received an A) / (Total number of women in the class)P(woman and A) = 7 / 31P(woman and A) = 0.2258Therefore:P(woman or A) = P(woman) + P(A) - P(woman and A)P(woman or A) = 0.7381 + 0.3095 - 0.2258P(woman or A) = 0.8218(d) The probability that the student did not receive an A.The probability that the student did not receive an A is given as:P(not A) = 1 - P(A)From part (b), we know that:P(A) = 0.3095Therefore:P(not A) = 1 - P(A)P(not A) = 1 - 0.3095P(not A) = 0.6905Therefore, the answers are given as follows:(a) The probability that the student is a woman is 0.7381.(b) The probability that the student received an A is 0.3095.(c) The probability that the student is a woman or received an A is 0.8218.(d) The probability that the student did not receive an A is 0.6905.

Learn more about probability

brainly.com/question/30034780

#SPJ4

mathematics homework

Answers

The angle measure for each notch in Deondra's 16-notch socket wrench should be 105 degrees.

Describe 16- notch socket?

The 16-notch socket has a cylindrical shape with 16 notches or recesses machined into the interior of the socket. Each notch corresponds to a flat side of a 16-sided nut or bolt head. The notches are evenly spaced around the socket, providing a secure grip on the nut or bolt head and allowing for easy application of torque using a ratchet or wrench.

16-notch sockets are commonly used in automotive and industrial applications, particularly in heavy machinery where large bolts and nuts with 16-sided heads are often used. They are available in a range of sizes to fit different nut and bolt sizes and are typically made of durable materials such as chrome vanadium steel or high-grade aluminum.

Premise 1: Deondra is designing a 16-notch socket wrench.

Premise 2: The notches will be the same size.

Conclusion: Therefore, Deondra needs to know the angle measure for each notch.

To determine the angle measure for each notch, we can use the formula for the interior angle of a regular polygon, which is:

Interior angle = (n-2) x 180 / n

where n is the number of sides (or notches) in the polygon.

Applying this formula to a 16-sided polygon (or hexadecagon), we get:

Interior angle = (16-2) x 180 / 16

Interior angle = 1680 / 16

Interior angle = 105 degrees

Therefore, the angle measure for each notch in Deondra's 16-notch socket wrench should be 105 degrees.

To know more about wrench visit:

https://brainly.com/question/30912965

#SPJ1

Find the area of the triangle. A drawing of a triangle with base of 12 and a half feet and height of 4 feet.

Answers

Answer:

[tex]\large\boxed{ \sf Area = 25\ ft .^2}[/tex]

Step-by-step explanation:

We need to find out the area of the triangle which has a base of 12.5ft and s height of 4ft.

We know that the formula for calculating the area of the triangle is ,

[tex]\sf:\implies \pink{Area_{\triangle}=\dfrac{1}{2}\times (b)\times (h)}\\[/tex]

where,

b is the base .h is the height .

F I G U R E : -

[tex] \setlength{\unitlength}{1cm}\begin{picture}(6,5)\linethickness{.4mm}\put(1,1){\line(1,0){4.5}}\put(1,1){\line(0,1){3.5}}\qbezier(1,4.5)(1,4.5)(5.5,1)\put(.3,2.5){$\large\bf 4\ ft $}\put(2.8,.3){$\large\bf 12.5\ ft$}\put(1.02,1.02){\framebox(0.3,0.3)}\put(.7,4.8){\large\bf A}\put(.8,.3){\large\bf B}\put(5.8,.3){\large\bf C}\qbezier(4.5,1)(4.3,1.25)(4.6,1.7)\end{picture}[/tex]

Now on substituting the respective values, we have;

[tex]\sf:\implies Area = \dfrac{1}{2}\times (12.5) \times (4) \ ft.^2 \\[/tex]

Simplify,

[tex]\sf:\implies \underline{\underline{\boxed{\sf Area = \frak{25\ ft.^2} }}} \\[/tex]

Hence the area of the triangle is 25ft.²

Find the value of the unknown in the figure below

Answers

b =(17,6x 8,9):19,7=7,95

Thuli wants to buy TV R8 500 A bank offers to loan her the money at an interest of 5 percent she decide to pay her TV off 3 years. Calculate the simpled interest she will have to pay also calculate the total she will pay​

Answers

The simple interest she will have to pay equals R 1275, and the total she will pay equals R 9775 for her TV over the past 3 years.

Thuli wants to buy TV, and a bank offers to loan her the money at an interest rate.

Principal, P = R 8,500

Interest Rate, R = 5%

Time, t = 3 year

Simple interest is defined as an interest charge that borrowers pay their lenders for a loan. It is calculated using the principal only. Formula for SI is written as SI = (P×T×R)/100

Here, SI = Simple interest

P = Principal (sum of money borrowed)

R = Rate of interest p.a

T = Time (in years)

We have to calculate simpled interest she will have to pay also calculate the total she will pay.

So, Simple interest = (8500×3×5)/100

= 85× 15 = R 1275

Now, total she will have to pay = Principle + SI

= 8500 + 1275

= R 9775

Hence, required total she will pay is R9775.

For more information about simple interest, visit :

https://brainly.com/question/25793394

#SPJ4

A number has three prime factors. Two of its prime factors are 3 and 5. The other prime factor is even
what is the number?

Answers

The other prime factor is even, the number is 30, and its prime factors are 2, 3, and 5.

To find the third prime factor and ultimately the number, we can use the fact that any integer greater than 1 can be expressed as a unique product of prime factors. We know that the number has three prime factors, and two of them are 3 and 5. So, we need to find the third prime factor.

Since the other prime factor is even, it must be 2 (the only even prime number). Therefore, the number can be calculated as:

Number = 3 x 5 x 2 = 30

So, the number is 30, and its prime factors are 2, 3, and 5.

Prime factors are the prime numbers that divide a given number exactly without leaving any remainder. For example, the prime factors of 12 are 2, 2, and 3, because 2 x 2 x 3 = 12 and these are the only prime numbers that divide 12 exactly. To factorize a number into its prime factors, we can use a method called prime factorization. We start by dividing the number by the smallest prime number that divides it exactly. We keep dividing the quotient by the smallest prime number that divides it exactly until we obtain only prime numbers. The prime factors are then the product of these prime numbers

To learn more about prime factor click here

brainly.com/question/29775157

#SPJ4

find the perimeter of 18.6 18.9 6.9

Answers

The perimeter of the polygon with sides of lengths 18.6, 18.9, and 6.9 is 44.4 units.

What is the perimeter?

The perimeter of a polygon is the total distance around its boundary, which is equal to the sum of the lengths of all its sides. To find the perimeter of a polygon, you simply add up the lengths of all its sides.

The perimeter of any polygon is the sum of the lengths of its sides. In this case, we have three sides of lengths 18.6, 18.9, and 6.9.

To find the perimeter, we simply add these lengths together:

Perimeter = 18.6 + 18.9 + 6.9

Perimeter = 44.4

Therefore, the perimeter of the polygon with sides of lengths 18.6, 18.9, and 6.9 is 44.4 units.

To learn more about the perimeter visit:

https://brainly.com/question/397857

#SPJ1

f:g → 10 - g. Find f-1: g




pls i need this

Answers

The inverse function is [tex]f^{-1} (g) = 10 - g[/tex]

What is the Composition function?

Composition function is a type of function that is formed by combining two or more functions, where the output of one function becomes the input of another function. Composition function shown by the symbol "∘".

The composition function is a mathematical operation that combines two functions to produce a new function. Specifically, given two functions f and g, the composition function (also called function composition) creates a new function h(x) = f(g(x)) that applies the function g to an input x, and then applies the function f to the output of g(x).
We can start by finding the inverse function of f(g), which is [tex]f^{-1} (g)[/tex]. To do so, we need to solve the equation:

[tex]f(g) = x = 10 - g[/tex]

for g, in terms of x:

x = 10 - g

g = 10 - x

This gives us the inverse function:

[tex]f^{-1} (x) = 10 - x[/tex]

Now we can find f^-1(g) by replacing x with g in the above equation:

[tex]f^{-1} (g) = 10 - g[/tex]

Therefore, the function [tex]f^{-1} (g)[/tex] is given by:

[tex]f^{-1} (g) = 10 - g[/tex]

To know more about function, visit:

brainly.com/question/11624077

#SPJ1

Complete question is: f:g → 10 - g. Find f-1: g.

For each statement below, state whether the lengths, angles or both are invariant.
Translation
Reflection
Rotation
Enlargement

Answers

Translation: Lengths and angles are invariant under a translation because the shape and size of the object remain the same, but the position changes.

Reflection: Angles are invariant, but lengths are not. Reflection changes the orientation of the object, but the shape and size remain the same.

Rotation: Angles are invariant, but lengths are not. When an object is rotated, its orientation changes, but the shape and size remain the same.

Enlargement: Angles are invariant, but lengths are not. An enlargement changes the size of an object, but not its shape or angles

Rachel, Sam and Thomas applied for a common position at the company. Only one of them will be hired for the position. The probabilities that each of them is hired for the role are given by 1 out of 7, 2 out of 7, and 4 out of 7 respectively.
The probabilities that Rachel, Sam and Thomas can help boost the company’s revenue are given by 4 out of 5, 1 out of 2, and 3 out of 10 respectively if they are hired.
(a) Find the probability that Thomas is selected for the position given that the company’s revenue did not improve.
(b) Find the probability, p, that the company’s revenue will generally improve.
Rachel, Sam and Thomas interviewed at another company for another position. The probabilities that each of them is hired for the role are now given by x, 2x and 4x respectively.
It can be assumed that the hiring process for each individual candidate are independent of one another.
(c) Suppose there is no limit to the number of hires the company can make (i.e. the company can hire any one of them, any two of them, all three of them or no one at all). Find an inequality that must satisfied by x.

Answers

7x ≤ 1, or x ≤ 1/7


(a) The probability that Thomas is selected for the position given that the company’s revenue did not improve is 4 out of 7.
(b) The probability that the company’s revenue will generally improve is the sum of the probabilities that Rachel, Sam and Thomas are hired multiplied by the probability that the company’s revenue will improve given that each individual is hired. This probability is given by (1/7)*(4/5) + (2/7)*(1/2) + (4/7)*(3/10) = 0.5.
(c) For the probabilities given for the second hiring process to be valid, the inequality x + 2x + 4x ≤ 1 must be satisfied. This inequality can be written as 7x ≤ 1, or x ≤ 1/7.

Learn more about Probability equation

brainly.com/question/29262648

#SPJ4

PLEASE HELP WITH THE PROBLEM !!

Answers

Answer:

the answer is 18

Step-by-step explanation:

volume of triangular prism =l×w×h

9×2×1=18

Whats the distance between (-1,-2) and (3,4)

Answers

Answer:

the answer is 7,21

Step-by-step explanation:

Distance formula is d=(x1-x2)²+(y1-y2)²(-1-3)²+(-2-4)²(-4)²+(-6)²16+36527.21
What’s the distance between (-1,-2) & (3,4


The answer is 7,21

60% of all Americans live in cities with population greater than 100,000 people. If 34 Americans are randomly selected, find the probability that
a. Exactly 23 of them live in cities with population greater than 100,000 people.
b. At most 23 of them live in cities with population greater than 100,000 people.
c. At least 22 of them live in cities with population greater than 100,000 people.
d. Between 18 and 24 (including 18 and 24) of them live in cities with population greater than 100,000 people.

Answers

a. The probability that exactly 23 of them live in cities with population greater than 100,000 people is 0.095.

b. The probability that at most 23 of them live in cities with population greater than 100,000 people is 0.0332.

c. The probability that at least 22 of them live in cities with population greater than 100,000 people is 0.9876.

d. The probability that between 18 and 24 (including 18 and 24) of them live in cities with population greater than 100,000 people is 0.8782.

What is the probability of selecting the required numbers?

Let X be the number of Americans out of 34 who live in cities with population greater than 100,000 people.

Then X follows a binomial distribution with n = 34 and p = 0.6.

a. The probability that exactly 23 of them live in cities with population greater than 100,000 people is:

P(X = 23) = (34C₂₃) x (0.6)²³ x (0.4)¹¹ = 0.095

b. The probability that at most 23 of them live in cities with population greater than 100,000 people is:

P(X <= 23) = P(X = 0) + P(X = 1) + ... + P(X = 23)

= ∑(34Ci) x (0.6)^i x (0.4)^(34-i), i = 0 to 23

= 0.0332

c. The probability that at least 22 of them live in cities with population greater than 100,000 people is:

P(X >= 22) = 1 - P(X < 22) = 1 - P(X <= 21)

= 1 - ∑(34Ci) * (0.6)^i x (0.4)^(34-i), i = 0 to 21

= 0.9876

d. The probability that between 18 and 24 (including 18 and 24) of them live in cities with population greater than 100,000 people is:

P(18 <= X <= 24) = P(X <= 24) - P(X < 18)

= ∑(34 choose i) * (0.6)^i * (0.4)^(34-i), i = 0 to 24

- ∑(34 choose i) * (0.6)^i * (0.4)^(34-i), i = 0 to 17

= 0.8782

Learn more about probability here: https://brainly.com/question/24756209

#SPJ1

Which is an example of a suggestive survey question?

What do you like and don’t like about the CEO?
Do you own a car or a truck?
What is your favorite brand of soda?
How much credit card debt do you owe?

Answers

The answer of the given question based of a suggestive survey the answer is  "What do you like and don’t like about the CEO?"

Who is CEO?

The CEO or Chief Executive Officer is  highest-ranking executive in  company who is responsible for making major corporate decisions, managing  overall operations, and leading  organization towards achieving its goals and the objectives. The CEO reports to board of directors and is responsible for success or failure of company.

The suggestive survey question is: "What do you like and don’t like about the CEO?"

This question is suggestive because it implies that the respondent should have opinions about the CEO, and it encourages the respondent to share both positive and negative opinions. This can bias the responses towards certain answers, rather than allowing the respondent to express their own thoughts freely.

To know more about Share visit:

https://brainly.com/question/14215685

#SPJ1

Find a polynomial \( f(x) \) of degree 4 with leading coefficient 1 such that both \( -4 \) and 2 are zeros of multiplicity 2 . \[ f(x)=x \]

Answers

Polynomial with a degree 4 and leading coefficient 1 is to be found. Also, -4 and 2 are the zeros of multiplicity 2.

Given the roots, the polynomial can be expressed in factored form as:
\[f(x) = (x + 4)^2(x - 2)^2\]
Expanding this:
\begin{align*}
f(x) &= (x + 4)^2(x - 2)^2\\
&= (x^2 + 8x + 16)(x^2 - 4x + 4)\\
&= x^4 + 4x^3 - 4x^3 - 32x^2 + 16x^2 + 128x + 64\\
&= x^4 - 16x^2 + 128x + 64
\end{align*}
Thus, the polynomial is:
\[f(x) = x^4 - 16x^2 + 128x + 64\]Therefore, the answer is \[f(x) = x^4 - 16x^2 + 128x + 64\].

For further information on Polynomials, refer below:

https://brainly.com/question/11536910

#SPJ11

A study of the amount of time it takes a specialist to repair a mobile MRI shows that the mean is 8. 4 hours and the standard deviation is 1. 8 hours. If 40 broken mobile MRIs are randomly selected, find the probability that their mean repair time is less than 8. 9 hours

Answers

Using the normal distribution, it is found that there is a 0.0582 = 5.82% probability that their mean repair time is less than 8.9 hours.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean  and standard deviation  is given by:

[tex]Z=\frac{x-u}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s=\frac{\sigma}{\sqrt n}[/tex]

u=8.4, sigma=1.8 n=32 s=0.3182

The probability that their mean repair time is less than 8.9 hours is the p-value of Z when X = 8.9, hence:

Z=1.57

Z = 1.57 has a p-value of 0.9418.

1 - 0.9418 = 0.0582.

0.0582 = 5.82% probability that their mean repair time is less than 8.9 hours.

More can be learned about the normal distribution at brainly.com/question/27643290

#SPJ4

Other Questions
Majka company was started on january 1, year 1. During year 1, the company experienced the following accounting events: (1) issued 50,000 worth of common stock (2) earned cash revenues of $33,700, (3) paid cash expenses of $14,900, and (4) paid a $3,200 cash dividend to its stockholders. These were the only events that affected the company during year 1 Consider the following function.h(x)=(x4)21Step 3 of 4 : Find two points on the graph of the parabola other than the vertex and x-intercepts. Ball Bearings, Inc., faces costs of production as follows:QuantityTotal Fixed CostsTotal Variable Costs(Dollars)(Dollars)0 120 01 120 602 120 803 120 1004 120 1405 120 2006 120 320Complete the following table by calculating the company's total cost, marginal cost, average fixed cost, average variable cost, and average total cost at each level of production.QuantityTotal CostMarginal CostAverage Fixed CostAverage Variable CostAverage Total Cost(Dollars)(Dollars)(Dollars)(Dollars)(Dollars)0 1 2 3 4 5 6 The price of a case of ball bearings is $60. Seeing that the company can't make a profit, the company's chief executive officer (CEO) decides to shut down operations.The firm's profit in this case is$. (Note: If the firm suffers a loss, enter a negative number in this cell.)True or False: This was a wise decision. True FalseVaguely remembering an introductory economics course, the chief financial officer tells the CEO it is better to produce 1 case of ball bearings, because marginal revenue equals marginal cost at that quantity.At this level of production, the firm's profit is$. (Note: If the firm suffers a loss, enter a negative number in this cell.).True or False: This is the best decision the firm can make. True False rewrite the following into the stnadard from of a quadratic equation[tex]2x^{2} -1[/tex] Sometimes the main point is summed up in one sentence called a __________________. introduction paragraph thesis statement call to action write 3/4 5/7 19/25 11/5 smallest to largest What happened during the Manchurian Incident?O A. Chinese communist Mao Zedong retreated to the countryside withhis troops.OB. The League of Nations forced Japan to withdraw its troops fromChinese Manchuria.OC. Nationalist Chiang Kai-shek established control of the Chinesegovernment.OD. Japan carried out an explosion of one of its own trains in ChineseManchuria.SUBMIT What best describes the change taking place in section BC of the graph? aThe intermolecular bonds of the solid state are being broken as particles vibrate faster. bThe intermolecular bonds of the liquid state are being broken as particles flow faster. cThe temperature of the solid rises to increase the kinetic energy of its particles. dThe temperature of the liquid rises to increase the kinetic energy of its particles. Find a 5th degree polynomial with real coefficients that has zeros 0, -7i, and 2-i. show work Find the surface area of the sphere. Round your answer to the nearest hundredth. penny would love to open a coffee shop at her local shopping centre, so she decides to hand out a questionnaire at the shopping center's entrance in order to do market research. draw up a questionnaire that penny could use to gather the information she requires i need help pleaseee Choose an existing SME/family firm (please note that the familyfirm should be small, do not select big Multinationals) orcreate/develop your own SME. Why is it interesting? What productsdoes your company offer? What services does your company offer? 2. How did you identify that there is a need for a new product or service? How did you identify a business opportunity/gap? How did you capture this opportunity? 3. Will the business idea help local communities (social entrepreneurship, etc.)? If yes, how? 4. Is your business idea part of a start-up or a family firm? If it is the former (i.e. start-up) then you will face the scarcity of resources issue. How do you plan to overcome this challenge? Will you use networks, etc.? 5. How will you fund your firm and business idea? Will you use angel investors? Venture Capital? Crowdfunding? Which platforms (refer to the lecture slides for examples)? 6. How will you protect intellectually the business idea? 7. How will you expand your business idea in foreign markets (will you have to change the product service there transformation part)? Which markets will you enter? Who are your main competitors? Which entry modes will you use? What is your market segment (e.g. young people? Socio economic characteristics (income, etc.)? How will you promote/advertise your business idea? 8. If you decide to choose an existing SME/family firm you will have to use all the previous steps by introducing a new product or service. For example, if you choose Wonderblv (personalised books, please refer to the tutorial activities for further information), you must come UP with a new product that the company could offer and you will have to follow all the previous steps (steps 1 - 7).I need complete answer with explainaton table and graphs I gave you thumb Suppose your Professor currently has no savings but wants to retire in 30 years with two million dollars. If he can earn 8.75%, compounded a investments, how much should he set aside in equal installments (starting one year from today) to reach his goal? Round to nearest dollar In a group of 15 children, 5 said they are an only child, 3 said they have 1 sibling only, 4 said they have exactly 2 siblings, and 3 said they have exactly 3 siblings.What is the average number of siblings for this group?Enter your answer as a decimal, rounded to the nearest tenth, in the blank. What are questions I can ask about climate change for a seminar? Differentiate between the classifications of products. Which ofthe following is an example of a specialty good or service? Assignment 2: Case Study - Canada Hardware________________________________________It is January 1, 2023. You are a Senior Analyst at Canada Hardware Inc. (CHI), one of the top hardware, sports, and apparel providers in Canada with hundreds of stores across Canada. The CEO of Canada Hardware, Tony Stark, has reached out to you to draft a report to evaluate two investment proposals, building on your analysis from Assignment 1.PurposeFor this case approach, you will demonstrate your ability to develop costing methods and a set of forecasts of future cash flows for two proposed investment projects. You will also be required to identify the cost of financing through the issuance of bonds.How to ProceedBuilding on your analysis and proposal from Assignment 1, develop your investment proposal business case draft:1.Create a title page with the project proposal names and author identification.2.Calculate the bond yield to utilize as your required return.3.Prepare a summary narrative (i.e., a detailed description) of each proposal with detailed elements on the initial investment as well as the costs/revenues over the life of each of the projects. Identify which revenues and costs are relevant to your analysis, and which costs are irrelevant. Identify the time horizon for each investment.4.Calculate the after-tax cash flows during the life of each of the projects. Be sure to identify the total costs of ownership and deduct those costs from the benefits to arrive at the net cash inflow per year.5.Utilizing the after-tax cash flows from Part 4, evaluate each investment proposal utilizing the following criteria (unless directed otherwise):a.changes in payments from beginning of period to end;b.Payback;c.Discounted payback;d.NPV;e.Profitability index. b) what are the equilibrium price and quantity? how much revenue do kumquat producers receive when the market is in equilibrium? draw a graph showing the market equilibrium Your marketing plans objective is to "retain 10% of your existing customer base by the end of this fiscal year". As the senior marketing manager of the brand, you should consider emailing "prospects" first and then follow up with an email to your "best" customers.TrueFalse