Write the expression as a power: 2^9·32

Mathematics

1 answer:

Alex17521 [72]3 years ago

8 0

Answer:

$2^{14}$ is the answer. Hope this helped!!

Step-by-step explanation:

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Yuki888 [10]

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3 years ago

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A certain test preparation course is designed to help students improve their scores on the LSAT exam. A mock exam is given at th

nasty-shy [4]

Answer:

(9.6, 25.7) is a 80% confidence interval for the average net change in a student's score after completing the course.

Step-by-step explanation:

We have n = 6, $\bar{x} = 17.6667$ and s = 13.3367. The confidence interval is given by

$\bar{x}\pm t_{\alpha/2}(\frac{s}{\sqrt{n}})$ where $t_{\alpha/2}$ is the $\alpha/2$ th quantile of the t distribution with n-1=5 degrees of freedom. As we want the 80% confidence interval, we have that $\alpha = 0.2$ and the confidence interval is $17.6667\pm t_{0.1}(\frac{13.3367}{\sqrt{6}})$ where $t_{0.1}$ is the 10th quantile of the t distribution with 5 df, i.e., $t_{0.1} = -1.4759$ . Then, we have $17.6667\pm (1.4759)(\frac{13.3367}{\sqrt{6}})$ and the 80% confidence interval is given by (9.6, 25.7)