Answer:
There is no evidence that the doors are too long and need to be trimmed (H₀ is accepted)
Step-by-step explanation:
The null hypothesis, 
Alternative hypothesis, 
Test statistic is calculated as follows:
Find the P-value
P(z > 1.27) = 1 - P(z < 1.27)
P(z > 1.27) = 1 - 0.898
P(z > 1.27) = 0.102
Significance level, α = 0.01
Since P - value(0.102) is greater than α (0.01), the null hypothesis will be accepted.
Jonah would have to sell 4 cookies to have $70 left.
First, find the slope (m) using the formula: 
m = 
= 
= 0
Next, input the slope and ONE of the points into the point-slope formula:
y - y₁ = m(x - x₁) ; where (x₁, y₁) is the chosen point
y - (-5) = 0(x - (-1))
y + 5 = 0
y = -5
Answer: y = -5
Answer:
No solution for K
Step-by-step explanation:
-24 - 10K = -8(k+4) -2K
-24 - 10K = -8*k + -8*4 -2K
-24 -10K = -8K +-32 -2K
-24 - 10K = -8K -32 -2K
-24 + 32 = -8K - 2K + 10K
8 = 0K
Therefore, no solution can be given for this equation
Hope this helped :3
Answer:
C
Step-by-step explanation:
what happens, when you rotate something around a pole ? what shape is the most outside point making around that pole ?
a circle, of course.
that means rotating the rectangle around the x-axis creates a round object (with the bottom area being a circle).
so, all answers about a prism (rectangular bottom shape) are automatically wrong.
again, just imagine to rotate a small sheet of paper around a pole (the x-axis acts like one in this scenario).
the result is a solid with a circular bottom area, and it maintains this shape all the way to the top.
it is a cylinder !
and what is its radius ?
well, the outermost point of the rectangle is 8 points away from the x-axis. when we rotate this rectangle, that attribute remains, of course. and every point on the side surface of the resulting cylinder has the same distance from the central x-axis : 8.
so, the radius is 8.
and the volume of a cylinder is
ground area × height = pi×r² × height
in our case
pi×8² × 5 (the width or "height" of the rectangle) = pi×64 × 5 = 320×pi
