Answer:
Critical value is -1.98.
Step-by-step explanation:
Given:
The value of alpha is, 
Now, in order to find the critical value, we need to subtract alpha from 1 and then look at the z-score table to find the respective 'z' value for the above result.
The probability of critical value is given as:

So, from the z-score table, the value of z-score for probability 0.976 is 1.98.
Now, in a left tailed test, we multiply the z value by negative 1 to arrive at the final answer. We do so because the area to the left of mean in a normal distribution curve is negative.
So, the z-score for critical value 0.024 in a left tailed test is -1.98.
Answer: P=47 inches
Step-by-step explanation:
First, you have to find the other side lengths. Two of the sides are equal to 20 because this is a rectangle. The first blank would be 20 because 20 times the other side length is equal to 70. Then you would divide 70 by 20 which would equal x. x would equal 3.5 in. Then the perimeter would be:
2(20)+2(3.5)=P
P=47 inches
Answer: 
Step-by-step explanation:
Given
Radius of cylinder 
The height of the cylinder is 
The surface area of a cylinder is 
If only the outer is considered then, the area required is

P=4πlr²
r²=P/4πl
r=√(P/4πl)= 1/2*(√(P/πl)
Answer is A