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Area between two points
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A set of mathematics exam scores are normally distributed with a mean of 80.2 points and a standard deviation
of 4 points.
What proportion of exam scores are bęween 82 and 85.6 points?
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Answers

Answer 1

Answer:

0.2379

Step-by-step explanation:

Answer 2

Answer:

0.2379

Step-by-step explanation:

Khan


Related Questions

In 1999, Marks & Spencer, a British department store, created the biggest sandwich ever made. The tuna and cucumber sandwich was in the form of a triangular prism. Suppose each slice of bread was 8 inches thick. Find each measure to the nearest tenth. a. The surface area in square feet of the sandwich when filled b. The volume of filling in cubic feet to the nearest tenth

Answers

Answer:

A) 19.2 ft^2

B) 28.9 ft^3

Step-by-step explanation:

Thickness = 8 inches

Assuming the triangular prism is made up of an equilateral triangle hence all sides are equal

lets assume the side = 10 inches  

lets assume the thickness as the height of the prism = 8 inches

Assume length of the rectangle(l) = 5 feet

A) The surface area of the sandwich triangular prism

total surface area = bh + 2ls + lb

                             = 10*8 + 2(5*10) + ( 5 * 10 )

                             = 80 + 100 + 50 = 230 inches = 19.2 ft^2

B ) The volume of filing in cubic feet to the nearest tenth

V = [tex]\frac{1}{4} h \sqrt{-a^4 +2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4}[/tex]  ------- 1

where : a = b = c = 10 inches

h = 8 inches

input the given values into the equation 1 above

V= 346.41 inches ^3  =  28.9 ft^3

 

The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume of a gas is 600 cubic centimeters (cc) when the pressure is 300 millimeters of mercury (mm hg) , find the volume when the pressure is 400 mm hg

Answers

Answer:

V₂ = 450 cm³

Step-by-step explanation:

The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P.

[tex]V\propto \dfrac{1}{P}[/tex]

If V₁ = 600 cm³, P₁ = 300 mm hg, P₂ = 400 mm hg

We need to find a new volume. Using the above concept,

[tex]V_1P_1=V_2P_2\\\\V_2=\dfrac{V_1P_1}{P_2}\\\\V_2=\dfrac{600\times 300}{400}\\\\V_2=450\ cm^3[/tex]

So, when the pressure is 400 mm hg, its volume is 450 cubic centimeters

Which of the following is r^2 + 4s evaluated for r = 4 and s = 1.5?
14
30
38
22

Answers

Answer:

22

Step-by-step explanation:

Once you fill in the variables your equation will look like this::4^2+4(1.5)::you will the go multiply both parts of the equation leaving you with 16+6 and when you add those together you get 22.

Hope This Helps!

Rachel earned $ 34 $34dollar sign, 34 in 4 44 hours at her job today. She wants to know how much she could earn ( e ) (e)left parenthesis, e, right parenthesis tomorrow if she works 10 1010 hours at the same hourly rate. How much will Rachel earn in 10 1010 hours? $

Answers

Answer:

Rachel earn $85 in 10 hours.

Step-by-step explanation:

Rachel earned $34 in 4 hours at her job today. It means we can find his earning in 1 hour.

1 hour = $(34/4)

= $8.5

He earns $8.5 in an hour.

To find his earning in 10 hours, multiply $8.5 by 10. So,

Earning =  $8.5 × 10

= $85

Hence, Rachel earn $85 in 10 hours.

Answer:

85

Step-by-step explanation:

I am right

sally picked 6 and 2-thirds pounds of apples. She used 1-half of the apples she picked to make pies. Question How many pounds of apples did Sally use to make pies? Move numbers to the boxes to show the answer.

Answers

Answer:

[tex]3 \frac{1}{3}[/tex]

Step-by-step explanation:

We know that Sally picked 6 2/3 pounds of apples, which can be converted into an improper fraction: 20/3. Multiply 20/3 and 1/2. You will get 20/6, which is 3 1/3. Hope this helped :D

Please help a girl out!! :(( im really confused and it would mean a lot if someone helped!

Answers

Answer:

$7.69

Step-by-step explanation:

2.48+2.48+2.48= $7.44

then add 0.25 which is

$7.69

Round 0.00208815 to 3 significant figures

Answers

= 0.00209 HOPE THIS HELPS!
= 0.00209..... pls give me a brainliest

The power generated by an electrical circuit (in watts) as a function of its current x xx (in amperes) is modeled by P ( x ) = − 15 x ( x − 8 ) P(x)=−15x(x−8)P, left parenthesis, x, right parenthesis, equals, minus, 15, x, left parenthesis, x, minus, 8, right parenthesis What current will produce the maximum power?

Answers

Given:

The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by

[tex]P(x)=-15x(x-8)[/tex]

To find:

The current which will produce the maximum power.

Solution:

We have,

[tex]P(x)=-15x(x-8)[/tex]

[tex]P(x)=-15x^2+120x[/tex]

Differentiate with respect to x.

[tex]P'(x)=-15(2x)+120(1)[/tex]

[tex]P'(x)=-30x+120[/tex]      ...(i)

To find the extreme point equate P'(x)=0.

[tex]-30x+120=0[/tex]

[tex]-30x=-120[/tex]

Divide both sides by -30.

[tex]x=4[/tex]

Differentiate (i) with respect to x.

[tex]P'(x)=-30(1)+(0)[/tex]

[tex]P'(x)=-30<0[/tex] (Maximum)

It means, the given function is maximum at x=4.

Therefore, the current of 4 amperes will produce the maximum power.

Answer:

its 4 amperes

Step-by-step explanation:

khan said so

Solve.
3(x-4) = -3
How do i slove this

Answers

Answer:

[tex]3(x - 4) = - 3 \\ 3x + 12 = - 3 \\ 3x = - 15 \\ x = - 5[/tex]

Firstly, multiply the number and variable in the perenthesis. Then move the variable on it's own side of the equation. The simplify.

Answer:

You need to do the Distributive Property. This means multiplying the number outside the parenthesis to each number inside.

Step-by-step explanation:

3(x)=3x

3(-4)=-12

3x+-12=-3

then evaluate using inverse operations to get x=3

Determine the height of the triangle if the area is 24 square inches and the base is 12 inches.

Answers

Answer:

4

Step-by-step explanation:

We use 1/2base times height to find the area and since we already have an area we just do 24= 6h then we divide 6 on both sides and height equals 4

Answer: 6 inches

Step 1: Subtract 12 because 12 iches is the base.

24 - 12 = 2

Step 2: Divide 12 by 2 because triangles have two equal sides.

12 ÷ 2 = 6

Answer = 6

HELP PLEASE!!! Show how you got the answer as well!

Answers

Answer:

2 ans is 7 2x_4+2x_7=17

You borrow $2000 for three years at an annual interest rate of 12% what is the total cost of the loan at the end of the three years

Answers

Answer:

2,391 paid altogether. The interest Rate was another 391 dollars.

Step-by-step explanation:

convert 8/3 to a mixed number​

Answers

Answer:  2 & 2/3

============================================

Work Shown:

8/3 = (6+2)/3

8/3 = 6/3 + 2/3

8/3 = 2 + 2/3

8/3 = 2 & 2/3

The whole part is 2. The fractional part is 2/3.

-----------

Another way you could do the problem is to use long division as shown in the diagram below.

The result of the long division is

8/3 = 2 remainder 2

The quotient 2 forms the whole part and the remainder is the numerator of the fractional part 2/3.

So that's another way to get 2 & 2/3

2. Express each of the following percentages as
a decimal.
(a) 4%
(b) 633%​

Answers

Answer:

a. 0.04

b. 6.33

Step-by-step explanation:

a. If we want to convert into decimal we need to divide it by 100 then answer will 0.04

4/100 = 0.04

b. If we want to convert into decimal we need to divide it by 100 then answer will 6.33

633/100 = 6.33

How does the speed (miles per hour) represented by this relationship compare to that of the Peregrine Falcon?

Answers

67 miles i believe should be right

How do you make comparisons between an equation and a graph?

Answers

Answer:

here is a hint

Step-by-step explanation:

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

Compare slope of an equation and slope of a line on graph and compare y-intercepts.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

For linear equation,

Compare slope of an equation and slope of a line on graph and compare y-intercepts.

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

Therefore, compare slope of an equation and slope of a line on graph and compare y-intercepts.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Which statement illustrates a simulation that could be used to generate samples of people on a game show selecting either door A, door B, or door C?

A. Flipping a coin and getting heads for door A or tails for door C.

B. Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C.

C. Creating a spinner divided into 4 equal parts. Label two parts door A, one part door B, and the third part door C.

D. Go to the game show and collect data for a month on which doors people chose.

Answers

Answer:

The correct option is;

B. Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C

Step-by-step explanation:

Given that an onloaded die has equal chances of getting either 1 or 2 or 3 or 4 or 5 or 6, the chances of getting a particular score is therefore 1/6

and the probability of getting a 1 or 2 = 1/6 + 1/6 = 2/6 = 1/3

Therefore, given that the probability, P[tex]_{door}[/tex] of opening door A, or door B, or door C is the probability of selecting 1 out of 3 given as follows;

P[tex]_{door}[/tex](door A) = 1/3

P[tex]_{door}[/tex](door B) = 1/3

P[tex]_{door}[/tex](door C) = 1/3

Therefore, given that the probability of selecting either door A or door B or door C is equivalent to the probability of getting a 1 or 2, or a 3 or 4, or a 5 or 6 on a die.

Answer:

Its B: Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C.

Step-by-step explanation:

They have to be evenly probable so its B

edge 2020

Pls help question is in the pic. Please give a right answer thx :D

Answers

Answer:

61.2

Step-by-step explanation:

Which of the following is both a perfect square and a perfect cube?
64
16
81
1,000

I know the answer is 64, but how? Can someone please explain me to me how to work this out?

Answers

Well the square root of 64 is 8, and the cube root of 64 is 4. They’re perfect whole numbers. We know 4 x 4 = 16 is a square from the fact above, and also because of what a square means. But we can go one step further. 4 x 16 = 64 is the product of two squares, so it is also a square. But you can also write it as 64 = 4 x 4 x 4, making it a cube.

Write the equation of the line in point-slope form that passes through the
given point with the given slope.
(-4, 3); m = 2

Answers

Answer:

y = 2x + 11

plug the values into y = mx+b:

3 = 2(-4) + b

solve, and you get

3 = -8 + b

b= 3+8 = 11

so, the equation is y = 2x+11

the answer is y= 2 x + 11

how to do this question plz ​

Answers

She would buy 8 3-pack cartons and 2 singular cartons. You multiply the prices for each (.9x8 + 2(0.38)), she would spend $7.96.

Find 1/20 of 180 dollars

Answers

9, since 1/20 can be represented as 0.05, and 0.05 x 180 = 9


Hope it helps!

Answer:

9

Step-by-step explanation:

180÷20=9.

Could I please have BRAINLIEST?

Find the product

(-4)(-9)(-2)​

Answers

Answer:

-72

Step-by-step explanation:

(-4)(-9)(-2)=

36(-2)=

-72

Jayden is driving on a long road trip. He currently has 11 gallons of gas in his car. Each hour that he drives, his car uses up 0.75 gallons of gas. How much gas would be in the tank after driving for 4 hours? How much gas would be left after tt hours?

Answers

Answer:

8 gallons left

Step-by-step explanation:

0.75 times 4=3

11-3=8

hope this helps :)

Solve for x. 0 = 2x² + 3x + 5

Answers

Answer: No real solutions.

Step-by-step explanation:

The altitude of a helicopter increase is 1000 feet every four minutes. What is the unit rate of change (feet per minute) of the altitude?

Answers

Answer:

250 feet per minute

Step-by-step explanation:

1000 divided by 4 is 250. You divide them by each other because if you multiply 250 feet by 4 minutes, you get 1000.

(brainliest?)

A carpenter cuts a circle out of a piece of wood. The radius of the circle is
about 23 inches. The carpenter cuts the circle into two semicircles. What is
the area of one semicircle to the nearest hundredth? Use 3.14 for

Answers

Answer:

830.53 in²

Step-by-step explanation:

To find the area of one semicircle, find the area of the full circle and divide it by 2:

Use the circle area formula, A = [tex]\pi[/tex]

Plug in 3.14 as pi, and plug in the radius:

A = [tex]\pi[/tex]r²

A = 3.14(23²)

A = 1661.06

Divide this by 2:

1661.06 / 2

= 830.53

So, the area of one semicircle is 830.53 in²

Answer:

850.53 in² is the answer

In rhombus JKLM, if m

Answers

i’m generally confused on exactly what your asking for

9) Draw a graph of the linear equation y= -2/-5x +3

Answers

To graph the line you would make your first point at (3,0) because that’s the y-intercept. From there you just go down 2 points and to the right 5 points and your next point should be (5,1). Then connect the two points with a line and you’re good to go!

1) x+30 = 40
2) 30-20+2x=10
3) 3x-10+13=-2x+28
4) 13x-23-45=-7x+12
5) 2(x+4) = 10x+24
6) 3(x-5) = 1-(2x-4)
7) 5X -10 = 15
2
8) X + 4 = X + 6
3 2

Answers

1)x+30=40

x=40-30

Answer :x=10

2)30-20+2x=10

10+2x=10

2x=0

Answer: x=0

3)3x-10+13=-2x+28

3x+3=-2x+28

3x+2x+3=28

3x+2x=28-3

5x=28-3

5x=25

x=5

4)13x-23-45=-7x+12

13x-68=-7x+12

13x+7x-68=12

13x+7x=12+68

20x=12+68

20x=80

x=4

5)2(x+4)=10x+24

2x+8=10x+24

2x-10x+8=24

2x-10x=24-8

-8x=24-8

-8x=16

x=-2

6)3(x-5)=1-(2x-4)

3x-15=1-(2x-4)

3x-15=1-2x+4

3x-15=5-2x

3x+2x-15=5

3x+2x=5+15

5x=5+15

5x=20

x=4

7)5x-10=15

5x=15+10

5x=25

x=5

8)x+4=x+6

4=6

no solution

PLEASE MARK ME AS BRAINLIEST

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