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.
Answer:
The ship will be far from its port 3.5 hours from now
Step-by-step explanation:
Hi
The function is relates the number of kilometers y the ship will be from its port x hours from now, it has a form .
As the function is clearly defined, we only have to evaluate it for , so is the distance between the cruise ship and its port after 3.5 hours.
Answer: (a)
Step-by-step explanation:
Given
Clearly, is obtained by shifting 3 units down and multiplying it by a certain factor to amplify it.
Checking the option which is 3 units below and multiplying by a factor
option (a) is meeting both the cirterias.
Answer:
Step-by-step explanation:
3.5(-3n +4)
= -10.5n + 14
Answer:
Step-by-step explanation:
Y = mx + b
slope(m) = 3/4
(3,7)...x = 3 and y = 7
now we sub...we r looking for b, the y int
7 = 3/4(3) + b
7 = 9/4 + b
7 - 9/4 = b
28/4 - 9/4 = b
19/4 = b
equation is : y = 3/4x + 19/4...lets put this in standard form
y = 3/4x + 19/4
-3/4x + y = 19/4...multiply by -4
3x - 4y = -19 <== standard form
if (x,5) is on the line
3x - 4y = -19.....sub in 5 for y
3x - 4(5) = -19
3x - 20 = -19
3x = -19 + 20
3x = 1
x = 1/3 <====so point a = (1/3,5)