Suppose that Violet is conducting a study to determine whether there is a relationship between the time a person spends running and the number of calories that he or she burns. She selects a random sample of 40 runners between the ages of 18 and 24 and records the time that each person ran and the number of calories that each person was able to burn while running. At the end of her study, she finds that people who were able to run for longer times burned more calories.
(a) What type of study is this? Briefly explain
(i) Experiment
(ii) Observational study
(iii) Survey
(b) What is the explanatory variable? Is it categorical or quantitative?
(c) What is the response variable? Is it categorical or quantitative?
(d) Which of the following is a potential lurking variable in this study? Defend your selection (i.e. explain why it is a lurking variable).
(i) the time each person ran
(ii) the number of calories each person burned
(iii) the age of the runners (iv) the speed at which each person ran

\(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.

The given fraction is \(1\frac{3}{4}\).

\(1\frac{3}{4}\) feet can be written as a multiplication expression as follows: 1 foot × 1 3/4. This is because \(1\frac{3}{4}\) is the same as 1 + 3/4.

Furthermore, 3/4 can be written as 0.75, which is the same as 0.75 × 1 foot.

Therefore, the multiplication expression is 1 foot × \(1\frac{3}{4}\) = 1 foot × (1 + 0.75) = 1 foot × 1 + 1 foot × 0.75 = 1 foot + 1.75 feet.

Therefore, \(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.

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Step-by-step explanation:

1ft=12in

1¾ft=x

x=12×7/4=21in

1¾ft=1¾×1 ft

9514 1404 393

Answer:

  x = 25

Step-by-step explanation:

The parallel lines divide the triangle sides proportionally.

  x/40 = 15/24

  x = 40(15/24) . . . . multiply by 40

  x = 25

Answer:

The answer is C

Step-by-step explanation:

use an open circle for "less than" or "greater than"and a closed circle for "less than or equal to" or "greater than or equal to".

Answer:

he/she is right...............

Thus, the perimeter of the shown triangle using the distance formula is found as  13.45 units.

A path that encircles a region is referred to as a perimeter. Adding the lengths of every one of the sides together is the simplest formula for calculating the perimeter. The word circumference, that only encompasses a circle's perimeter, is used to describe the distance around a circle.

Given that:

Perimeter = sum of all sides

Perimeter = AB + BC + CA

Estimate each distance using the distance formula:

d = √(x2 - x1)² + (y2 - y1)²

AB = √(1 - 5)² + (5 - 3)²

AB = √(-4)² + (-2)²

AB = √(16 + 4)

AB = √20

BC = √(3 - 1)² + (0 - 5)²

BC = √(2)² + (-5)²

BC = √(4 + 25)

BC = √29

CA = √(5 - 3)² + (3 - 0)²

CA = √(2)² + (3)²

CA =  √(4 + 9)

CA = √13

Perimeter = AB + BC + CA

Perimeter = √20 + √29 + √13

Perimeter = 4.47 + 5.38 + 3.60

Perimeter = 13.45 units.

Thus, the perimeter of the shown triangle using the distance formula is found as  13.45 units.

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Answer:

See answers and explanations below

Step-by-step explanation:

Problem 1:

Just plug in x=11

p(11)=5(11^2+1)+16=5(121+1)+16=5(122)+16=610+16=626

So p(11)=626 making D the correct answer

Problem 2:

Take note that because the slope is negative, the line will go down left to right. This means only C and D can be right. Because the slope is -4, this means we must choose the steeper line, therefore C is the correct answer

Problem 3:

Keep in mind that x^2+5x-6 can be factored into (x+6)(x-1). Using the Zero Product Property, the zeroes would be x=-6 and x=1. This means A is the correct answer

Answer: 1

Step-by-step explanation:

You are welcome :)

EXPLANATION

When heated, all three states of matter extend. The molecules do not multiply on their own, but the space they take up does. The molecules vibrate more quickly.

Answer:

A

Step-by-step explanation:

57.50 - 52.85 = 4.65

Answer: A. 4.65%

Step-by-step explanation: Subtract 57.50 and 52.85 to get 4.56%

if it's wrong, im sorry

hope it helps!!

Answer:

150 mi

Step-by-step explanation:

60 mi × 2.5 hr = 150 mi

Answer:

150 miles

Step-by-step explanation:

60 mi/hr for 2.5 hours

60 x 2.5

The train traveled for 150 miles

Tatiana is the athlete who trains a weekly amount of kilometers equal to the median of the 11 competitors.

To find the median, we need to first arrange the values in order from lowest to highest:

4, 5, 5, 5, 5.5, 6, 7, 8, 8, 9, 10

Since there are 11 values, the median is the middle value. In this case, the middle value is 5.5. Therefore, the athlete who trains a weekly amount of kilometers equal to the median of the 11 competitors is Tatiana, who trains 5.5 kilometers per week.

None of the other athletes in the table trains exactly 5.5 kilometers per week, so Tatiana is the only correct answer.

It's worth noting that the median is a measure of central tendency that is less sensitive to outliers than the mean. In this case, the values range from 4 to 10, which is a relatively wide range, but the median still provides a useful measure of the typical training distance among the 11 athletes.

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Answer:

anything to the power of 0 is 1 but I can't see what the value of w is to answer the next value

Step-by-step explanation:

Answer:

x= -5/2 or -5.2

Step-by-step explanation:

you know the equation: y=mx+b, so we can substitute the -3 for x, the 7 for y and the -4 for m:

7=-4(-3)+b

now solve:

7=12+b

subtract 12 on both sides:

b=-5

now what you want to do is substitute it in and solve for x:

y=-4x-5

so:

5=-4x-5,

solve:

10=-4x

x=-5/2!!!!!!!!!!!!!!

hope this helped :)

Answer: adults = 79

children = 158

student = 46

Step-by-step explanation:

Let a = adults

Let c = children

Let s = student

From the information given,

a + c + s = 283 ....... i

c/a = 2, c = 2a ....... ii

5c + 7s + 12a = 2060 ...... iii

Put the value of c = 2a into equation i

a + c + s = 283

a + 2a + s = 283

3a + s = 283

s = 283 - 3a

Note that c = 2a

From equation iii

5c + 7s + 12a = 2060

5(2a) + 7(283 - 3a) + 12a = 2060

10a + 1981 - 21a + 12a = 2060

10a + 12a - 21a = 2060 - 1981

a = 79

Note c = 2a

c = 2 × 79 = 158

Since a + c + s = 283

79 + 158 + s = 283

s = 283 - 237

s = 46

adults = 79

children = 158

student = 46

The correct answer is C), because it is possible to create an economic model describing the relationship between fertilizer usage and yield.

The economic model would take into account the nonlinear relationship, which is shown in the graph. Specifically, the slope of the curve between one and two tons of fertilizer is approximately 2 (change in yield divided by change in fertilizer usage). This means that for every ton of fertilizer used, the yield increases by two (change in yield / change in fertilizer usage = 2). Although using more than three tons of fertilizer has minimal effect on yield, the economic model would still take this into account and provide a more accurate representation of the relationship between the two variables.

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Answer: 12e(et+OT)

Step-by-step explanation:

Answer:

Hope it helps <3

To find the height of the cylinder when the volume is given as 1500 in³ and the radius is 7 inches, we can use the formula for the volume of a cylinder:

Volume = π * r² * h

Substituting the given values, we have:

\(1500 = 3.14 * 7^2 * h1500 = 3.14 * 49 * h1500 = 153.86 * h\)

To solve for h, we divide both sides of the equation by 153.86:

h = 1500 / 153.86

h ≈ 9.75

Rounding the answer to the nearest hundredth, the height of the cylinder is approximately 9.75 inches.

Therefore, the height of the cylinder is 9.75 inches.

Note: It is important to use the accurate value of π, which is approximately 3.14159, for precise calculations. However, in this case, since you specified to use 3.14 for π, I have used that approximation to calculate the height.

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Answer:

The 95% confidence interval for the population mean is ($6510, $7138).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom,which is the sample size subtracted by 1. So

df = 7 - 1 = 6

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.95}{2} = 0.975\). So we have T = 2.4469.

The margin of error is:

\(M = T\frac{s}{\sqrt{n}} = 2.4469\frac{340}{\sqrt{7}} = 314\)

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 6824 - 314 = $6510.

The upper end of the interval is the sample mean added to M. So it is 6824 + 314 = $7138.

The 95% confidence interval for the population mean is ($6510, $7138).

40 percent of 30 is equal to 25 percent of 48.

We have to find first 40% of the number 30.

40% of 30 = 40% × 30

                 = (40 / 100) 30

                 = 0.4 × 30

                 = 12

Now we have to find what percent of 48 is 12.

Let the required percentage be x.

x% of 48 = 12

(x/100) 48 = 12

x/100 = 12/48

x/100 = 0.25

x = 0.25 × 100

x = 25%

Thus, 40% of 30 equals 25% of 48.

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Answer:

this list

Step-by-step explanation:

1×12000=12000

2×6000=12000

3×4000=12000

4×3000=12000

5×2400=12000

6×2000=12000

8×1500=12000

10 ×1200=12000

12 ×1000=12000

Answer:

5(3)+10=15+10

=25

Step-by-step explanation:

Answer:

Step-by-step explanation:

22.57 cm inches are the net weight of the slope

Answer:

A

Step-by-step explanation:

You know that you can simplify 6/9 because both the numerator (top number) and denominator (bottom number) can be divided by 3. Therefore, you divide them by 3 to get 2/3. 2/3 cannot be simplified anymore. 2/3 is equal to 2/3. Therefore, the answer is A.

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Answer:

see below.

Step-by-step explanation:

1st row has four small boxes

2nd row has three big boxes

big box 1 has no items ragged in it.

big box 2 has small box 1 and also small box 1 dragged into it.

big box 3 has small box 3 and small box 4 dragged into it.

Using sampling concepts, it is found that a population of all the students in those two colleges would be appropriate for study.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, a group of students is taken from two colleges, hence a population of all the students in those two colleges would be appropriate for study.

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Answer:

Step-by-step explanation:

(6y-145) = 71

y = 36°

x = 180 - (6y-145)  

 = 180 - 216 + 145

 = 109°