Answer:
<u>B. There is sufficient evidence that the mean of the pressure required to open a certain valve has changed. </u>
Step-by-step explanation:
We make this conclusion based on these reasons:
- We are told that the "null hypothesis was rejected" after the <em>"manager feels that the pressure variability has changed.,</em> meaning the <u>null hypothesis was the opposite of what occurred; that is to say, it is the alternate hypothesis that proved true instead.</u>
- <em>"changes in the manufacturing process"</em> form what can be called "sufficient evidence" that the mean of the pressure required to open the valve has changed, thereby going against the null hypothesis.
It is based on the above reasons that the null hypothesis was rejected.
P = 2(L + W)
P = 44
L = W + 2
44 = 2(W + 2 + W)
44 = 2(2W + 2)
44 = 4W + 4
44 - 4 = 4W
40 = 4W
40/4 = W
10 = W
L = W + 2
L = 10 + 2
L = 12
A = L * W
L = 12
W = 10
A = 12 * 10
A = 120 square inches <===
Answer:
x = 2
Step-by-step explanation:
-5x + 8 = -2
-5x + 8 - 8 = -2 -8
-5x = -10
-5x/5 = -10/5
-x = -2
x=2
Answer:
39 in.
Step-by-step explanation:
As it's a regular hexagon all sides are congruent.
Therefore
7x + 4 = 8x - 1
4 + 1 = 8x - 7x
x = 5.
So the required length is 7(5) + 4 = 39 in.
Answer:
Children ticket cost $30 and adult ticket costs $40.
Step-by-step explanation:
Given that:
x = price of a child ticket
y = price of an adult ticket
According to given statement;
3x+2y=170 Eqn 1
4x+6y=360 Eqn 2
Multiplying Eqn 1 by 3
3(3x+2y=170)
9x+6y=510 Eqn 3
Subtracting Eqn 2 from Eqn 3
(9x+6y)-(4x+6y)=510-360
9x+6y-4x-6y=150
5x=150
Dividing both sides by 5
Putting x=30 in Eqn 1
3(30)+2y=170
90+2y=170
2y = 170-90
2y = 80
Dividing both sides by 2
Hence,
Children ticket cost $30 and adult ticket costs $40.
