The best way to assign values for a simulation using random digits table will be option A.
What will be the simulation?The best way to assign values for a simulation using a random digits table would be to use a table with at least 10 digits (0-9) in each row.
For Country X, we would assign Blood type O with the digits 0-5, Blood type A with digits 6-7, Blood type B with digit 8, and Blood type AB with digit 9. If a digit outside of these ranges is generated, it would be ignored.
For Country Y, we would assign Blood type O with the digits 0-5, Blood type A with digits 6-7, Blood type B with digit 8, and Blood type AB with digit 9. Again, if a digit outside of these ranges is generated, it would be ignored.
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[tex]\sqrt{2x} + 3 = 8[/tex]2 x + 3 = 8
Answer: x= 6241/2
Step-by-step explanation:
A charity organization has to sell a few tickets to their fundraiser just to cover necessary production costs. After selling 10 tickets they were still at a net loss of $800 (due to the production costs). They sold each tickets for $70.
the organization needs to sell at least 22 tickets to break even.
What is the arithmetic operation?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.
Let C be the total production cost and n be the number of tickets sold.
From the problem, we know that the organization had a net loss of $800 after selling 10 tickets, so we have:
10(70) - C = -800
Simplifying, we get:
C = 1500
This means that the total production cost was $1500.
The revenue from selling n tickets at $70 per ticket is given by:
R = 70n
Substituting the values of R and C, we get:
70n = 1500
Solving for n, we get:
n = 1500/70 = 21.43
Since we can't sell a fraction of a ticket, we need to round up to the nearest whole number.
Therefore, the organization needs to sell at least 22 tickets to break even.
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Complete the following table:
Note: Do not round intermediate calculations. Round your final answers to the nearest cent.
Chain discount is a type of discount offered by a seller to a buyer for purchasing a certain amount of goods or services in a series of transactions. The discount is applied incrementally as the buyer meets specific purchasing thresholds.
What is the chain discount?Chain discounts are often used to encourage larger purchases and build customer loyalty. They can be beneficial for both the buyer and the seller, as the buyer receives a discount and the seller increases their sales volume.
Item: Trotter treadmill
List price: $ [tex]3,000[/tex]
Chain discount: [tex]9/4[/tex]
To calculate the net price, we first need to determine the amount of the chain discount.
Chain discount = List price x Chain discount rate
Chain discount = $ [tex]3,000 \times 9/4[/tex]
Chain discount = $ [tex]6,750[/tex]
The net price is the list price minus the chain discount:
Net price = List price - Chain discount
Net price = $ [tex]3,000[/tex] - $6,750
Net price = -$3,750
Therefore, The Net price is = -$3,750
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What is the base of the exponent in the function f(x)=3(8√3) 2x when the function is written using only rational numbers and is in simplest form?
Answer:
We can rewrite the function as:
f(x) = 3(8√3)^(2x) = 3(2^3√3)^(2x)
Using the properties of exponents, we can rewrite this as:
f(x) = 3(2^(3*2x)√3^(2x)) = 3(2^(6x)√(3^(2x)))
Therefore, the base of the exponent is 2.
Determine the product. Write your answer in scientific notation.
(15.4 × 102) · (2.8 × 10–4) = ?
A. 431.2 x 10^2
B. 43.12 x 10^-3
C. 4.312 x 10^-1
D. 431.2 x 10^-4
The product of (15.4 × 102) · (2.8 × 10–4) in scientific notation is written as 4.312 x 10⁻¹. Thus, option C is was correct.
How should a product be written in scientific notation?When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation. For instance, the scientific notation for 650,000,000 is 6.5 108.
⇒ (15.4 × 10²) · (2.8 × 10⁻⁴)
= 15.4 × 2.8 × 10² × 10⁻⁴
= 43.12 × 10² × 10⁻⁴
= 4.312 × 10¹ × 10² × 10⁻⁴
= 4.312 × 10¹⁺²⁻⁴
= 4.312 × 10⁻¹
Thus, The product of (15.4 × 102) · (2.8 × 10–4) in scientific notation is written as 4.312 x 10⁻¹. Thus, option C is was correct.
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The average salary for a Queens College full professor is $85,900. If the average salaries is normally distributed with
standard deviation of $11,000, find the percentage of professors that make more than $75,000.
According to the question approximately 83.89% of professors make more than $75,000 calculated by forming the equation.
Explain equation?When the roots and solutions of two equations match, they are said to be equivalent. The same number, symbols, or expression must be added to or subtracted from both the equation's two sides to produce an equivalent equation. By multiplying or dividing both sides of an equation by a nonzero number, we can also obtain an analogous equation.
This issue can be resolved using the conventional normal distribution. First, we need to standardize the value of $75,000 using the formula:
z = (x - μ) / σ
where x is indeed the value we wish to standardise, is indeed the mean, and is the deviation.
z = (75,000 - 85,900) / 11,000
z = -0.99
Next, we look up the area to the right of z = -0.99 in the standard normal distribution table or by using a calculator. The area to the left of z = -0.99 is 0.1611, so the area to the right of z = -0.99 is:
1 - 0.1611 = 0.8389
Therefore, approximately 83.89% of professors make more than $75,000.
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Find the value of w and x in the following diagram zoom in
5
32⁰
W
6
to
Round your answers to the nearest hundredth.
The values of the side w and the angle x are 2.649 and 26. 206 degrees respectively.
How to determine the valueIt is important to note that there are different types of trigonometric identities are;
sinetangentcosinesecantcosecantcotangentFrom the image shown, we have;
Using the sine identity
sin θ = opposite/hypotenuse
sin 32 = w/5
find the value
w = 2. 649
To determine the value of angle x , we have;
Using the sine identity
sin x = w/6
sin x = 2. 649/6
sin x= 0. 4416
Take the sine inverse
x = 26. 206 degrees
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a fourth grade class is hosting a pancake breakfast fundraiser adult tickets are $10 each and children tickets are$6 each the class sells a total of 105 the total amount raised is 870how many adult tickets and how many children tickets were sold
60 adult tickets and 45 children tickets were sold.
How to solve this problemLet's use algebra to solve the problem:
Let x be the number of adult tickets sold.
Let y be the number of children tickets sold.
From the problem, we know that:
x + y = 105 (total tickets sold)
10x + 6y = 870 (total amount raised)
We can solve this system of equations by using elimination:
Multiply the first equation by 6: 6x + 6y = 630
Subtract the second equation from the first: 4x = 240
Solve for x: x = 60
Now we can use x to find y:
x + y = 105
60 + y = 105
y = 45
Therefore, 60 adult tickets and 45 children tickets were sold.
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What is an equation for the linear relationship in slope-intercept form?
A. y=2x+3
B. y=12x+3
C. y=12x−3
D. y=−12x−3
A: y=2x+3. This is an equation for the linear relationship in slope-intercept form. The equation states that the value of y is equal to the slope of the line, 2, multiplied by the value of x, plus 3.
What is slope?Slope is a measure of the steepness of a line. It is the ratio between the vertical change in a line (change in y-values) over the horizontal change in the same line (change in x-values). It is also referred to as the rate of change, as it is a measure of how quickly the value of y changes with respect to the x-value.
This equation is used to describe a straight line that has a constant rate of change between two variables. This equation can be used to determine the slope, y-intercept, and x-intercept of a line.
The slope, which is the coefficient of x in the equation (2 in this case), is the rate at which y changes with respect to x. It is the rise over run, or the change in y over the change in x. The y-intercept is the value of y when x is equal to 0 (in this case, it is 3). The x-intercept is the value of x when y is equal to 0 (in this case, it is -3/2).
This equation is often used to represent a linear relationship between two variables, such as the amount of money a person earns in relation to the number of hours they work.
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A particle has velocity function
v(t) = 1 - 2t cms-1
is initially 2 cm to the right of 0.
The formula for the displacement function (t).= s(t) = t - t^2 = 2 cm
Find the total distance travelled in the first second of motion.
answer = 1/2 cm but unsure how to solve
Please show procedure
Answer:
Step-by-step explanation:
To find the total distance traveled in the first second, we need to find the distance traveled during the first half-second and then double it.
The particle starts 2 cm to the right of 0, so its position function is given by:
s(t) = t - t^2 + 2
The distance traveled by the particle during the first half-second (from t = 0 to t = 0.5) is given by:
distance = |s(0.5) - s(0)|
We have:
s(0.5) = 0.5 - (0.5)^2 + 2 = 2.25 cm
s(0) = 0 - 0^2 + 2 = 2 cm
So, the distance traveled during the first half-second is:
|2.25 - 2| = 0.25 cm
To find the total distance traveled in the first second, we double this distance:
total distance = 2 * 0.25 = 0.5 cm
Therefore, the total distance traveled in the first second is 0.5 cm.
9x-7=-7 please answer quick
Answer:
x = 0
Step-by-step explanation:
9x - 7 = -7
Add 7 to both sides.
9x - 7 + 7 = -7 + 7
9x = 0
Divide both sides by 9.
9x/9 = 0/9
x = 0
Answer:
x=0
Step-by-step explanation:
Jane made $143 for 11 hours of work. At the same rate, how many hours would she have to work to make $169 ?
13
First, we divide to figure out how much Jane makes an hour
143 ÷ 11 = 13
Second, we multiply multiply by 13 until we get 169
13 × 13 = 169
So Jane will make 169 dollars in 13 hours
Answer:
13 Hours
Step-by-step explanation:
$143 ÷ 11hrs = $13/hr that Jane is paid, so to find how many hours she will need to work to make $169
$169 ÷ $13 = 13 hours
Calculate the rate of power draining per hour if the capacity of the cell phone is 3 600mAh
9. If the figure below is made of cubes with 2 cm side lengths, what is its volume? 14 cu. cm. 42 cu. cm. 144 cu.cm 280 cu. cm.
is this correct??
Total volume of shape is =144cu.cm
Formula for Cube VolumeBy knowing the length of the cube's edges, we can quickly determine its volume (V). Assume that "a" is the cube's edge length. The product of length, height, and breadth will then be the V. The cube's volume formula is as follows:
Cube Volume = Length× Width× Height
Volume equals= a× a× a =a³
where "a" denotes the cube's side or edges' length.
GivenLength of each cube = 2cm
Volume of each cube=a³
=2³
=8cm³
Total number of cubes=18
Total volume of shape=18×8
=144 cu.cm
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Assume that the first term of a sequence is -3. Write the first four terms of the sequence if it is an arithmetic sequence with a common difference of -1/3.
Answer:
The first term of the sequence is -3 and the common difference is -1/3. Therefore, the second term of the sequence can be found by adding the common difference to the first term:
second term = first term + common difference
second term = -3 + (-1/3)
second term = -10/3
Similarly, we can find the third term by adding the common difference to the second term:
third term = second term + common difference
third term = -10/3 + (-1/3)
third term = -11/3
And we can find the fourth term by adding the common difference to the third term:
fourth term = third term + common difference
fourth term = -11/3 + (-1/3)
fourth term = -4
Therefore, the first four terms of the sequence are -3, -10/3, -11/3, and -4.
Pls help its unit rates n stuff
Answer:
Step-by-step explanation:
1. u would do 315/15 bc y/x=k
2. u would do 81/9
3. u would do 56/2
so basically for the next ones just do the money divided by oz to find the unit rate. Note always do y/x y is the dependent variable and x is the independent variable
Solve the following. Find the unknown term of the proportion.
Problem:
If 3 pieces of shirts costs Php100. How much are you going to pay for 12 pieces of shirts?
Ps: kung di niyo alam yung sagot wag niyo kunin yung points :))
Answer:
Step-by-step explanation: 12 / 3 = 4, so php100 x 4 = Php400
SOLVE THIS BUT I DON'T WANT ANSWER I WANT SOLVING AND ANSWER
50PTS
WILL MARK AS BRAINLIEST
50/1.428
Answer:
Alright
Step-by-step explanation:
50/1.428
Multiply the numerator by the denominator to get 50000/1428
Set equation up in long division format
Divide 50000 by 1428 to get 3
Divide 7160 by 1428 to get 5
Divide 200 by 1428 to get 0
Divide 2000 by 1428 to get 1
Divide 5720 by 1428 to get 4
Divide 80 by 1428 to get 0
Divide 800 by 1428 to get 0
35.014
-4(X-1)+2 which of the following is equivalent to the expression
Answer:
-2 ( 2x - 3 )
Step-by-step explanation:
We know that,
( + ) × ( + ) = ( + )
( - ) × ( - ) = ( - )
( + ) × ( - ) = ( - )
Accordingly,
-4 ( x - 1 ) + 2
First, solve the brackets. That is, multiply each term inside the brackets by -4.
- 4x + 4 + 2
Combine like terms.
- 4x + 6
You can take the common factor out of the brackets.
-2 ( 2x - 3 )
What is the answer to x3 y3 z3 k?
Answer:
The equation x3+y3+z3=k is known as the sum of cubes problem.
Step-by-step explanation:
si tengo 3657 manzanas y me quitan 84648 pero juan me regala otras 8469 cuantas me quedan para comer?
Answer:
0 (-72522)
Step-by-step explanation:
ahora tienes negativo manzanas
Simplify to create an equivalent expression.
−
4
(
−
11
+
4
n
)
−
3
(
−
2
n
+
9
)
Answer:
Step-by-step explanation:
To simplify this expression, we will distribute the -4 and -3 to the terms inside the parentheses:
-4(-11+4n) - 3(-2n+9)
= 44 - 16n + 6n - 27
= -16n - 17
Therefore, the simplified expression is -16n - 17.
Traveling 65 miles/1 hr, how many minutes will it take to drive 125 miles ?
It would take approximately 115.38 minutes to drive 125 miles at a rate of 65 miles/hour.
How many minutes will it take to drive 125 miles?Speed is simply referred to as distance traveled per unit time.
Mathematically, Speed = Distance ÷ time.
Given that, the speed or rate is 65 miles/1 hr, how many minutes will it take to drive 125 miles.
First, we need to find the time it takes to travel 125 miles at a rate of 65 miles/hour.
We can use the formula:
Speed = Distance ÷ time.
time = distance / rate
time = 125 miles / 65 miles/hour
time = 25/13 hours
Now we can convert hours to minutes by multiplying by 60:
= 25/13 hours × 60 minutes/hour
= 115.38 minutes
Therefore, the required time is approximately 115.38 minutes.
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Find the equation of the line containing the point
P(−2, 3)
and perpendicular to the graph of
3x + 9y = −2.
Answer:
Step-by-step explanation:
y = 3x + 9
complete part A and B
The corresponding point on the graph is (9, 21). This point is within the normal respiratory rate region, which is defined by the system of linear inequalities. Therefore, model breakdown has not occurred.
The given problem involves the normal respiratory rates of children aged 3 to 15 years. The respiratory rate, measured in breaths per minute, is represented as a function of age using a system of linear inequalities. The graph depicts a normal respiratory rate region that models the respiratory rate ranges shown in the table. The problem requires us to identify a specific point on the graph that corresponds to a respiratory rate of 21 breaths per minute for a 9-year-old child. The ordered pair (9, 21) represents the corresponding point on the graph.
Further, we need to determine if this point lies within the normal respiratory rate region or if model breakdown has occurred. The system of linear inequalities defines the normal respiratory rate region, and we can determine if the point (9, 21) satisfies these inequalities. In this case, the point (9, 21) lies within the normal respiratory rate region and satisfies the system of linear inequalities. Therefore, model breakdown has not occurred, and the given model is an appropriate approximation of the normal respiratory rate region for children aged 3 to 15.
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Birthday Party!
Sandy and her twin brother Jason are having a birthday party, but... they haven't yet decided how many candy bars to buy.
and they haven't yet decided how many people to invite!
They made a chart to
write down all the
possible combinations
of people and candy
bars so they could
figure out how many people to invite
and how many candy bars to buy.
Across the top is the number of
people they are thinking about
inviting. On the left is the number of
candy bars they are thinking about
buying.
Help them fill out the chart!
Put the number of candy bars that
each person will get in the cell. Look
for patterns as you work to help you
fill the chart out more quickly!
What patterns do you see in the
chart?
How many candy bars will they buy?
1
2
3
4
5
6
7
8
9
10
1
How many people will they invite?
3
5 6
7
8
2
4
5.7 Apprentice Birthday Party Student
Unless otherwise noted, SFUSD Math Core Curriculum is licensed under the Creative Commons Attribution 40 International License
9 10
Based on the information we can infer that the number of candy bars they buy depends on the number of guests you have.
How to find the number of candy bars they are going to buy?To find the number of candy bars they are going to buy we need to look at the graph. In this case, if the maximum number of bars they are going to buy is 10 and the maximum number of people they are going to invite is 10, we can infer that 1 bar would correspond to each person.
Based on the above, we can infer that the relationship is directly proportional between the candy bars and the guests. In accordance with the above, the number of sweets depends on the number of guests.
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If the light is coming from the same position, the length of a person's shadow is proportional to their height. Adam and Cara are standing side-by-side, facing their shadows. Adam is 159 centimeters tall and casts a shadow 105 centimeters in height. If Cara is 140 centimeters tall, how many centimeters will she need to walk forward for the tip of her shadow to be directly in line with Adam's?
A golfer is standing at the tee, looking up to the green on a hill. If the tee is 38 yards lower than the green and the angle of elevation is 15 degrees, find the distance from the tee to the hole.
Answer:
146.82 yards is the distance from tee to hole.
Step-by-step explanation:
Let A is the position of tee and where the golfer is standing.
C is the position of hole.
CB is the vertical distance between greens and tee.
Angle of elevation,
To find: side AC.
Using trigonometric functions, we know that value of sine is:
[tex]sin\theta=\dfrac{\text{Perpendicular}}{\text{Hypotenuse}}[/tex]
Here [tex]\theta=\angle BAC=15^\circ[/tex]
Perpendicular is side CB.
Hypotenuse is side AC.
[tex]\text{sin}12^\circ=\dfrac{\text{CB}}{\text{AC}}[/tex]
[tex]\implies\text{CB}=\dfrac{38}{\text{sin}15^\circ}[/tex]
[tex]\implies\text{CB}=146.82[/tex]
Hence, 146.82 yards is the distance from tee to hole.
A car is traveling at a speed of 80 miles per hour. What is the car's speed in kilometers per hour? How many kilometers will the car travel in 4 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.
answer is
512
Step-by-step explanation:
1.6x80=128
128x4=512
Select the correct answer.
Consider functions p and q.
log₂ (x - 1)
p(x)
q (x) = 2* - 1
Which statement is true about these functions?
=
O A.
The x-intercept of function p is the same as the x-intercept of function q.
OB.
The x-intercept of function p is less than the x-intercept of function q.
O C.
The x-intercept of function p is greater than the x-intercept of function q.
OD. The x-intercepts cannot be compared because either p or q does not have an x-intercept
Answer: Click THANKS if you like my answer. have a good day sir/maam #keep safe
D. The x-intercepts cannot be compared because either p or q does not have an x-intercept.
The function q is a constant function and its graph is a horizontal line passing through y = -1. It does not intersect the x-axis, so it does not have an x-intercept.
The function p is a logarithmic function, and its x-intercept is the point at which the graph of p intersects the x-axis. To find the x-intercept of p, we need to set p(x) = 0 and solve for x.
log₂ (x - 1) = 0
2^0 = x - 1
1 = x - 1
x = 2
So the x-intercept of p is x = 2.
Since q does not have an x-intercept, we cannot compare the x-intercepts of p and q. Therefore, the correct answer is D.
Step-by-step explanation:
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