Answer:
x= 20
Step-by-step explanation:
Solve for x:
(7 x)/10 = 14
Multiply both sides of (7 x)/10 = 14 by 10/7:
(10×7 x)/(7×10) = 10/7×14
10/7×7/10 = (10×7)/(7×10):
(10×7)/(7×10) x = 10/7×14
10/7×14 = (10×14)/7:
(10×7 x)/(7×10) = (10×14)/7
(10×7 x)/(7×10) = (7×10)/(7×10)×x = x:
x = (10×14)/7
14/7 = (7×2)/7 = 2:
x = 10×2
10×2 = 20:
Answer: x = 20
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:
He had 189 dollars
Step-by-step explanation:
35% of 140 is 49
140 plus 49 is 189
Answer as a fraction = 1/2
Answer as a decimal = 0.5
Answer as a percent = 50%
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Explanation:
There are 5 blue rectangles out of 10 total. This forms the fraction 5/10 and that reduces to 1/2 after dividing both parts by 5. Therefore, the fractions 5/10 and 1/2 are the same. Notice that exactly half of the entire figure is shaded blue.
Use long division or your calculator to find that 1/2 = 0.5 which converts to 50% when you move the decimal point 2 spots to the right.
Answer:
a^6/(b^12c^3d)
Step-by-step explanation: