Answer: It is not enough evidence to support the researcher's claim.
Step-by-step explanation:
Since we have given that
n = 500

So, the hypothesis are as follows:

So, the z value would be

At α = 0.05
z= -1.64
So, 1.64<-1.33
So, we accept the null hypothesis.
Hence, it is not enough evidence to support the researcher's claim.
It’s 25 because (24x24)+(7x7) squared is 25
Answer:
40
Step-by-step explanation:
Write and solve a proportion:
2 / 150 = x / 3000
150x = 6000
x = 40
Answer:
The equation not represent a proportional relationship because the line don't passes through the origin
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u><em>and the line passes through the origin</em></u>
so
In this problem we have

This is the equation of the line in slope intercept form
where
the slope is m=5
the y-intercept is b=5
Remember that in a proportional relationship the value of b must be equal to zero (because the line passes through the origin)
therefore
The equation not represent a proportional relationship because the line don't passes through the origin
The another way to represent the same line, for solving
will be: 
<u><em>Explanation</em></u>
Given equation of the line is: 
"Solving
" means <u>we need to get</u>
<u>alone in left side.</u> So, we will eliminate all other terms except
from the left side.
First we will <u>subtract 2x </u>from both sides. So, we will get......

Now, we will <u>divide both sides by 3</u> for getting
alone. So.....

Thus, the another way to represent the same line, for solving
will be: 