Can someone help me please and thank you

The appropriate test to examine the relationship between the number of steps taken and HR in a group of 1000 athletes depends on the type of data and the research question.

If the number of steps and HR are both measured on a continuous scale and the research question is to examine the strength and direction of the relationship between the two variables, then the appropriate test would be Pearson's correlation coefficient.

If either the number of steps or HR is measured on a continuous scale and the other variable is measured on an ordinal scale, then the appropriate test would be Spearman's correlation coefficient.

However, if the research question is to predict HR based on the number of steps taken, and there are other variables that may influence the relationship, then multiple regression analysis would be the appropriate test.

Chi-Square test is used to examine the association between two categorical variables. It is not appropriate for examining the relationship between a continuous and categorical variable.

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The answer to your question is that the only way to demonstrate causation is to conduct a controlled experiment. This domain involves manipulating one variable and measuring the effect it has on another variable while holding all other variables constant.

correlation simply shows a relationship between two variables, but it doesn't prove that one variable causes the other. There could be other factors at play that are influencing both variables. For example, there may be a correlation between ice cream sales and crime rates, but this doesn't mean that ice cream causes crime or vice versa. It's possible that a third variable, such as temperature, is influencing both ice cream sales and crime rates.

further into the complexities of establishing causation, such as the need for random assignment in experimental studies, the importance of replicating findings, and the challenges of applying experimental findings to real-world situations. However, the key point is that a controlled experiment is the most reliable method for establishing a causal relationship between variables.

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Angles p and q are complementary, which means that their sum is equal to 90 degrees. Let's assume the size of angle q is x degrees. Since p is four times the size of q, we can write the equation p = 4q.

To find the size of q, we need to substitute the value of p in terms of q into the equation for the sum of the angles: p + q = 90.

Substituting 4q for p, we get:

4q + q = 90

Combining like terms:

5q = 90

To solve for q, we divide both sides of the equation by 5:

q = 90/5

Simplifying:

q = 18

Therefore, the size of angle q is 18 degrees.

when angles p and q are complementary and p is four times the size of q, the size of angle q is 18 degrees.

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Answer:

2\(\sqrt{137}\)

Step-by-step explanation:

Solving for the equations,

x² + 4y² = 361

4x² + y² = 324

Add both equations

5x² + 5y² = 685

Divide both sides by 5

x² + y² = 137

Multiply both sides by 4

4x² + 4y² = 548

Now take the square of both sides.

\(\sqrt{4x^{2} +4y^{2} } =\sqrt{548}\)

= 2\(\sqrt{137}\)

Answer: \(2\sqrt{137}\)

Step-by-step explanation:

Trust me i'm good at geometry. Besides, if you actually paid attention in class, you'd know how to solve this

Answer:6

Step-by-step explanation:9x6=54

54+2=56

Answer:the solution is d=6

Step-by-step explanation:9*6+2=56

Answer:

Length= 50

Width=17

Step-by-step explanation:

length= n+8

Since n= 42, Just plug it in. So it would be 42+8 which is 50 for the length

Widith: 1/2n-4

basically since N is given for 42, you do 1/2 multipied by 42 which is 21.

Since you also have to subtract 4 inches it would be 17 for the length

Answer:

(x-2) (x+5)

Step-by-step explanation:

2 * 5 = 10

(-2) + 5 = 3

3x + x² - 10 = (x-2) (x+5)

Answer:

$104.31

Step-by-step explanation:

First let's calculate the sale price of the shoes. If they are 24% off, that means they will be worth 76% of the initial price. So, we can multiply 76% by 129 to find the sale price:

129 * 0.76 = 98.04

The sale price is $98.04. To find the value of the sales tax, multiply the sale price by the percentage of the sales tax:

98.04 * 0.064 = 6.27456

The sales tax rounds to 6.27. Finally, to find the total price, add the value of the sales tax to the sale price:

98.04 + 6.27 = 104.31

The total price Zach will pay is $104.31.

Hope this helps :)

Answer: 25 units

Step-by-step explanation: The difference between x-values is 23-3 = 20

The difference between y-values is -18 -(-3)= 15

Use the Pythagorean Theorem to find the length of the hypotenuse that completes the imaginary triangle. This is a classic 3-4-5 Pythagorean Triple. The calculated sides are in the ratio of 15:20, multiples of 5. So the remaining side is 5 times 5: 25

Answer:

x = 48 degrees

Step-by-step explanation:

This triangle is an isosceles which means that two of the angles are the same and all triangles add up to 180 degrees so we take the two angles we know and add them

66 + 66 = 132

Then we subtract that number from 180 to find the third angle

180 - 132 = 48

Answer:

x = 48°

Step-by-step explanation:

Since the legs of the triangle are congruent then the base angles are congruent, both 66° , then

x = 180° - (66 + 66)° = 180° - 132° = 48°

Answer:

Step-by-step explanation:

The graph of the function f is concave up on the interval: (-1.341, -0.240) and (0.964, 1.5). Option b is correct.

On which intervals is the graph of the function f concave up?

To determine the intervals where the graph of f is concave up, we need to analyze the second derivative of f. Let's analyze the options:

a. (-1.5, -1.341) and (-0.240, 0.964)

b. (-1.341, -0.240) and (0.964, 1.5)

c. (-0.714, 0.333) and (1.381, 1.5)

d. (-1.5, -0.714) and (0.333, 1.381)

To find the concavity of f, we need to calculate the second derivative, f''(x). Since we are not given the second derivative, we cannot directly analyze the concavity.

Therefore, we need to calculate f''(x) by taking the derivative of f'(x):

f'(x) = (x² + 1)sin(3x - 1)

Taking the derivative of f'(x) gives:

f''(x) = 2xsin(3x - 1) + (x² + 1)(3cos(3x - 1))

By analyzing the intervals given in the options and evaluating the sign of f''(x) within each interval, we can determine the intervals where the graph of f is concave up. Calculating f''(x) and evaluating its sign within each interval will provide the solution.

Therefore, the answer is that the graph of f is concave up on the interval (-1.341, -0.240) and (0.964, 1.5).

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The graph is plotted and attached below for the graph the line that represents this equation y + 2 = 1/2 (x+2).

Now, stepwise we can plot the graph for the given question.

Step 1 ) Solve the equation for y

y + 2 = \(\frac{1}{2}\) (x + 2)

y = \(\frac{1}{2}\) (x + 2) - 2

y = \(\frac{1}{2} x+1\)

Step 2 ) Create a table containing a few values of x and y

I chose x = -2, 0, and 2.

\(x\\-2\\0\\2\)    \(y\\-2\\-1\\0\)

Step 3 ) Plot your points

Draw dots at the coordinates of each point.

Step 4 ) Draw the graph

Draw a smooth line through the points.

Extend the lines in both directions to the edges of the plot area.

Your graph should look something like the diagram below.

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Answer:

Here is the answer.

Step-by-step explanation:

Answer:

\(\displaystyle{f^{-1}(x)=\dfrac{x}{7}-\dfrac{3}{7}}\)

Step-by-step explanation:

Swap f(x) and x position of the function, thus:

\(\displaystyle{x=7f(x)+3}\)

Then solve for f(x), subtract 3 both sides and then divide both by 7:

\(\displaystyle{x-3=7f(x)}\\\\\displaystyle{\dfrac{x}{7}-\dfrac{3}{7}=f(x)}\)

Since the function has been inverted, therefore:

\(\displaystyle{f^{-1}(x)=\dfrac{x}{7}-\dfrac{3}{7}}\)

And we can prove the answer by substituting x = 1 in f(x) which results in:

\(\displaystyle{f(1)=7(1)+3 = 10}\)

The output is 10, now invert the process by substituting x = 10 in \(f^{-1}(x)\):

\(\displaystyle{f^{-1}(10)=\dfrac{10}{7}-\dfrac{3}{7}}\\\\\displaystyle{f^{-1}(10)=\dfrac{7}{7}=1}\)

The input is 1. Hence, the solution is true.

The exponential function shown in the graph is given as follows:

B) \(y = \left(\frac{1}{2}\right)^{x - 3} + 1\)

An exponential function has the definition presented as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The function has an horizontal asymptote at y = 1, hence:

\(y = ab^x + 1\)

When x = 0, y = 9, hence the horizontal shift is obtained as follows:

9 = (1/2)^(k) + 1

1/2^k = 8

2^-k = 2^3

k = -3.

Thus the function is:

B) \(y = \left(\frac{1}{2}\right)^{x - 3} + 1\)

The graph is given by the image presented at the end of the answer.

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Answer:

$6000

Step-by-step explanation:

So, we know that

$1500 = 25%

We find 1% by taking

1500 divided by 25% = $60

We have to find the 75% off by taking

60 times 75 = $4500

Then we have to find the original price by taking

4500 + 1500 = $6000

So, the original price is $6000

Answer:

$6000

Step-by-step explanation:

The total cost is 100%

The discount was 75%

then:

100% - 75% = 25%

The percentage paid was:

25%

then:

$1500 ⇒ 25%

$A ⇒ 100%

A = 1500*100/25 = 6000

A = $6000

Answer:

54 years

Step-by-step explanation:

Given that :

Let :

Ann's age = x

Mary's age = x/2

Donald's age = x/3

x + x/2 + x/3 = 99

Take the L. C. M

(6x + 3x + 2x) / 6 = 99

11x / 6 = 99

11x = 99 * 6

11x = 594

x = 594 / 11

x = 54

Hence, Ann is 54 years

Using the triangle inequality theorem, the largest possible whole-number length for the third side is 4.

The third side of a triangle must be shorter than the sum of the other two sides and longer than the difference between the other two sides.

So, for a triangle with sides of length 1, 4, and x (where x is the length of the third side), we have:

1 + 4 > x

4 + x > 1

1 + x > 4

Simplifying these inequalities, we get:

5 > x

x > 3

x > -3 (this inequality is always true)

The largest possible whole-number length for the third side is 4, since it is the largest integer that satisfies the above inequalities.

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Answer:

468

Step-by-step explanation:

a=3 and c=39

4(3)(39)

468

i believe you accidently wrote c+39 instead of c=39 :)

Answer:

468

Step-by-step explanation:

Replace:

4(3)(39)

=468

To find the critical numbers of the function f(x) = x^3e^(-9x), we need to find the values of x where the derivative of the function is equal to zero or does not exist. These values correspond to the relative maxima, minima, or inflection points of the function.

To find the derivative of the function, we can use the product rule and the chain rule of differentiation. The derivative of f(x) is given by:

f'(x) = 3x^2e^(-9x) - 9x^3e^(-9x)

To find the critical numbers, we need to set f'(x) equal to zero and solve for x:

3x^2e^(-9x) - 9x^3e^(-9x) = 0

Factorizing out e^(-9x), we get:

3x^2 - 9x^3 = 0

Simplifying further, we get:

x^2(3 - 9x) = 0

Thus, the critical numbers of the function are x = 0 and x = 1/3. At x = 0, the function has a relative minimum, while at x = 1/3, the function has a relative maximum. To determine the nature of these critical points, we can use the second derivative test or examine the sign of the derivative in the intervals around the critical points.

Overall, finding the critical numbers of a function is an important step in analyzing its behavior and determining its extrema or points of inflection. By setting the derivative equal to zero and solving for x, we can identify the critical points and then use additional tests or analysis to determine their nature and significance.

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Answer:

d. 6

Step-by-step explanation:

Given, a-5> -1

Both sides add 5, and we get

a > 4

So a is 6.

Answer:

s

Step-by-step explanation:

It should be noted that to move Trapezoid ABCD to its new location or shadow, we need to perform a series of rigid transformations, which include translation, rotation, and reflection.

Move Trapezoid ABCD to a new location in the same plane by shifting it horizontally and vertically. We can do this by adding or subtracting a certain number of units from the x and y-coordinates of each vertex.

After translation, Trapezoid ABCD will be at a new location, let's call it Trapezoid A'B'C'D'. This was illustrated on the diagram. Then, it was rotated around a certain point in the plane. We can rotate it clockwise or counterclockwise by a certain angle

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Answer: 4%

Step-by-step explanation:

$2 in 6 months = $4 in 1 year

4/100 = 0.04 = 4%

Answer:

Step-by-step explanation:

To factor 4wx + 8w + 9x + 18, we can group the terms as follows:

(4wx + 9x) + (8w + 18)

Then we can factor out the common factor from each group:

x(4w + 9) + 2(4w + 9)

Notice that we now have a common factor of (4w + 9) in both terms, so we can factor it out:

(4w + 9)(x + 2)

Therefore, 4wx + 8w + 9x + 18 factors as (4w + 9)(x + 2).

Answer:

5 (c + 8) = 2

Step-by-step explanation:

:D

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