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:
Step-by-step explanation:instead, try making the subscripts and superscripts stand out:
n-1
a = a * r
n n-1
Believe me, it's worth the extra work to do this!!
Given the sequence -3, -6, -12, -24, you can easily see that the first term,
a is -3. The common factor is 2. Note how (-3)*2=-6, and so on.
1
So, a = -3 and r=2.
1
So the formula for this geometric sequence is
n-1
a = -3*2
n
Answer:
$1.21
Step-by-step explanation:
Start by finding the total amount spent on shirts. Do this by multiplying $3.65 and 4 together. You will get 14.6. So, he spent $14.60 on 4 shirts. Take this amount and subtract it from the total amount paid for shirts and socks. $23.07 minus $14.60. This will give you $8.47 left to spent on socks. $8.47 divided by 7 is $1.21. Therfore, James paid $1.21 per pair of socks.
Answer: 75%
Step-by-step explanation:
Height given :
69, 62, 73, 67, 63, 65, 73, 71, 70, 66, 59, 75
The total number of height given = 12
The height less than 73 are 69 , 62, 67 ,63 , 65 , 71 , 70 , 66 , 59
The total number of heights less than 73 = 9
Therefore : the percentage of these students who are shorter than 73 inches = total number of students shorter than 73/ total number of height x 100
= 9/12 x 100
= 75%