Answer: X=18
Step by Step:
2−10+x=6−8+12
Step 1: Simplify both sides of the equation.
2−10+x=6−8+12
2+−10+x=6+−8+12
(x)+(2+−10)=(6+−8+12)(Combine Like Terms)
x+−8=10
x−8=10
Step 2: Add 8 to both sides.
x−8+8=10+8
x=18
Answer:
The third, they are equivalent because the size of the shaded area is the same.
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.
When you divide two fractions, you actually just flip one over (it's reciprocal) and multiply them.

÷

Use the recriprocal of
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÷

Multiply (3 x 8) and (4 x 1)
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Divide
6
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÷
= 6</span>