Answer:
We conclude that the plant should shut down.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 60
Sample mean,
= 61.498
Sample size, n = 100
Alpha, α = 0.05
Population standard deviation, σ = 6
a) First, we design the null and the alternate hypothesis such that the power plant will be shut down when the null hypothesis is rejected.
We use One-tailed(right) z test to perform this hypothesis.
b) Formula:
Putting all the values, we have
Now,
Since,
We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.
Calculating the p-value from the z-table:
P-value = 0.0063
Since,
P-value < Significance level
We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.
I don’t know the answer but I need a answer to this
Answer:
Yes
Step-by-step explanation:
Answer:
V = πr²h
To determine the volume of a cylinder you have to multiply the area of the base by the height of the cylinder.
Step-by-step explanation:
The base of a cylinder is a circle. So we must find the area of the circle first. (Which is πr²)
Then we multiply the height by the area of the circle.
V = π·r²·h
This can be used in different ways as well,
if we don't know the radius but know everything else we could use the formula:
(r = √(V/πh))
If we don't know the height we use this formula:
(h = V/(πr²))
Answer:diameter of circle A is
(2r - 10) centimeters while Answer:diameter of circle B is 2r
Step-by-step explanation:
Diameter = radius/2
Circle A has a radius that is 5 centimeters less than the radius of Circle B. It means that if the radius of circle B is 5 centimeters, then the radius of circle A would be (r - 5) centimeters. Also,
The diameter of circle B would be
2 × r = 2r centimeters
Therefore, the diameter of circle A would be expressed as
2(r - 5) = (2r - 10) centimeters