Will needs 8 hours of sleep every night, Brad needs 9 hours, and Nick needs 10. One Saturday, they all have to get up at 6 a.m.
2 answers:
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When raising a fraction to a power, we can raise the numerator and denominator to the power. To find x, we need to find the cube root of both 125 and 27. That is, the numbers that when multiplied by themseelves 3 times result in 125 and 27.
![\sqrt[3]{125} = 5](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B125%7D%20%3D%205%20)
![\sqrt[3]{27} =3](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B27%7D%20%3D3)
So x =
So x =
Answer:
We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.
Step-by-step explanation:
We have a sample of executives, of size n=160, and the proportion that prefer trucks is 26%.
We have to calculate a 95% confidence interval for the proportion.
The sample proportion is p=0.26.
The standard error of the proportion is:
The critical z-value for a 95% confidence interval is z=1.96.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 95% confidence interval for the population proportion is (0.192, 0.328).
We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.