Answer:
121-133 pounds
Step-by-step explanation:
127 +/- 6 = 121-133
Answer:
a) There is no enough evidence of an increase in life expectancy.
b) P-value=0.07.
The P-value indicates that this sample result is not rare to happen (is greater than the significance level) even if the mean of the population is still 87 hours.
Step-by-step explanation:
We have to perform a hypothesis test on the mean, with known standard deviation of the population.
The null hypothesis, which we will reject or not, states that the life expectancy has not increase (it stays equal or less than 87 hours).
The null and alternative hypothesis are
![H_0: \mu\leq87\\\\H_1:\mu>87](https://tex.z-dn.net/?f=H_0%3A%20%5Cmu%5Cleq87%5C%5C%5C%5CH_1%3A%5Cmu%3E87)
The significance level is α=0.01.
The z-value is
![z=\frac{M-\mu}{\sigma/\sqrt{n}}=\frac{88.5-87}{9/\sqrt{36}}=1.5](https://tex.z-dn.net/?f=z%3D%5Cfrac%7BM-%5Cmu%7D%7B%5Csigma%2F%5Csqrt%7Bn%7D%7D%3D%5Cfrac%7B88.5-87%7D%7B9%2F%5Csqrt%7B36%7D%7D%3D1.5)
The P-value for z is ![P(z>1.5)=0.06681](https://tex.z-dn.net/?f=P%28z%3E1.5%29%3D0.06681)
The P-value (0.07) is greater than the significance level (0.01), so the effect is not significant. We fail to reject the null hypothesis.
There is no enough evidence of an increase in life expectancy.
You can't rewrite it as a single factorial, but an expression containing several:
![4n^2+2n=2n(2n+1)=\dfrac{(2n+1)(2n)(2n-1)\cdots2\cdot1}{(2n-1)\cdots2\cdot1}=\dfrac{(2n+1)!}{(2n-1)!}](https://tex.z-dn.net/?f=4n%5E2%2B2n%3D2n%282n%2B1%29%3D%5Cdfrac%7B%282n%2B1%29%282n%29%282n-1%29%5Ccdots2%5Ccdot1%7D%7B%282n-1%29%5Ccdots2%5Ccdot1%7D%3D%5Cdfrac%7B%282n%2B1%29%21%7D%7B%282n-1%29%21%7D)
Well let's pretend that decimal wasn't there, and the question was just asking √81. You should know that the answer to √81 is 9. So now, let's put the decimal back in its place so the question is √.81 again. You just have to do the same thing to the answer by adding a decimal in front of it. Therefore:
√81 = 9
√.81 = .9
Your answer is 0.9 :)
Answer:
C: 9 cups
Step-by-step explanation: