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
statements:
1.) E is midpoint of TP
2) TP bisects MR
reasons:
1.)given
2) MT is congruent to PR (I think)
I might be wrong though so dont count on it being right. I hope I helped. ime not that good at math. I m not BAD but yea
The total price for the gallons of paint will be 35.75p
The total price for the rollers will be 6r
So the equation if the customer have 190 will be
price for gallons of paint + price for rollers = 190
35.75p + 6r = 190
<em>(This is the equation)</em>
Cost of two tickets that Sheila paid to her friend = $ 90
Actual price of 1 ticket = $ 52.50
So, actual price of 2 tickets = 
Hence, markdown or discount Sheila's friend gave her is =
The answer is $15.
Answer:
Option C. 12 by 15
Step-by-step explanation:
Let the length be L
Let the width be w
Area of rectangle = L x w
Perimeter of rectangular = 2 (L + w)
From the question given,
A = 180
P = 54
180 = L x w (1)
54 = 2(L + w) (2)
From equation (2),
54 = 2(L + w)
Divide both side by the 2
54/2 = L + w
27 = L + w
L = 27 — w (3)
Substituting the value of L into equation (1), we have:
180 = L x w
180 = w(27 — w)
180 = 27w — w^2
Rearrange the expression
w^2 — 27w + 180 = 0 (4)
Solving by factorization method:
Multiply the first term (i.e w^2) with the last term (i.e 180). This gives 180w^2. Now find two factors of 180w^2, such that their sum will result to the second (i.e —27w). These factors are —12w and —15w.
Now, substitute these factors (—12w and —15w) into equation (4)
w^2 — 27w + 180 = 0
w^2 — 12w —15w + 180 = 0
w(w — 12) — 15(w — 12) =0
(w — 12) (w — 15) = 0
w = 12 or w = 15.
Substituting the value of w into equation (3)
L = 27 — w
When w = 12
L = 27 — 12 = 15
When w = 15
L = 27 — 15 = 12
Since the length is longer than the width, the length is 15 and the width is 12.
Therefore the dimensions is 12 x 15
