Answer:
The statement that cushion A is twice as popular as cushion B cannot be verified
Step-by-step explanation:
From the question we are told that:
Sample size n=38
Type a size A 
Type a size B
Generally the probability of choosing cushion A P(a) is mathematically given by


Generally the equation for A to be twice as popular as B is mathematically given by

Therefore Hypothesis

Generally the equation normal approx of p value is mathematically given by



Therefore from distribution table


Therefore there is no sufficient evidence to disagree with the Null hypothesis 
Therefore the statement that cushion A is twice as popular as cushion B cannot be verified
Answer:
(c + 7) ( c - 9)
Step-by-step explanation:
Answer:
53
Step-by-step explanation:
65x- 12 = 43x + 10
65x - 43x = 10 + 12
22x = 22
x = 22/22
<u>x = 1 </u>
(65x- 12) =
65 * 1 - 12 =<u> 53</u>
43x + 10
43 * 1 -12 = <u>53</u>
The answer is 72.
You can figure this out using the Pythagorean theorem: C (78) squared - A (30) squared = B squared though since you already know the longest side.
78 x 78 = 6084
30 x 30 = 900
6084-900= 5184
The square root of 5184 is 72.