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satela [25.4K]
2 years ago
14

A study was conducted on the relationship between speeds of cars and gas mileage. The correlation coefficient was 0.45. Later, t

he researchers found the speedometers read 5 mph too high. Researchers recomputed the coefficient. The new value will be:
Mathematics
1 answer:
True [87]2 years ago
8 0

Answer:

0.45

Step-by-step explanation:

The correlation coefficient is used to measure the relationship between how two variables change. In this question, the two variables are cars speed and gas mileage. Since the speedometers were wrong as they were 5 mph too high in a constant manner, then the correlation between how changes in speed affect gas mileage will not be changed.

For example, if we are measuring how an increase of 15 mph decreased gas mileage, we are looking at the change in speed and it is the same if we start with 75 mph and then increase speed to 90 mph, or if we start with 45 mph and then increase to 60 mph. The change in speed for both cases will remain unchanged at 10 mph.

Now, since we have seen that the change in speed remains unchanged and since correlation coefficient is a measure of the relationship between how two variables change, then the new value of the correlation coefficient will remain the same as 0.45.

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AlekseyPX

Answer:

5(2 + y)

Step-by-step explanation:

The sum of 2 and y is 2 + y and 5 times this sum is

5(2 + y)

8 0
3 years ago
4. Rosa plays games at a fair. She can buy 8 game tokens for $ 1. Each game cost 2 tokens. How many games can she play with 120
bezimeni [28]
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2 years ago
Help with num 9 please. thanks​
Alik [6]

Answer:

See Below.

Step-by-step explanation:

We want to show that the function:

f(x) = e^x - e^{-x}

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A function is increasing whenever its derivative is positive.

So, find the derivative of our function:

\displaystyle f'(x) = \frac{d}{dx}\left[e^x - e^{-x}\right]

Differentiate:

\displaystyle f'(x) = e^x - (-e^{-x})

Simplify:

f'(x) = e^x+e^{-x}

Since eˣ is always greater than zero and e⁻ˣ is also always greater than zero, f'(x) is always positive. Hence, the original function increases for all values of <em>x.</em>

8 0
3 years ago
The product of two consecutive positive integers is 56. Find the two integers
vredina [299]

Answer:

Two consecutive integers are of the form

x and x + 1

Their product is equal to 56

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Solve and find the two numbers x and x + 1. The above equation may be written as follows

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Factor and solve

(x - 7)(x + 8) = 0

solutions: x = 7 , x = -8

x= - 8 is not valid since the number sought must be positive. Hence

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Step-by-step explanation:

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