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mojhsa [17]
3 years ago
12

Which expression is equivalent to 7^3 ⋅ 7^−5? A.7^2 B.7^7 C.1 over 7 to the 2nd power D.1 over 7 to the 7th power

Mathematics
1 answer:
stepladder [879]3 years ago
4 0
7^3\cdot7^{-5}=7^{-2}=\dfrac{1}{7^2}
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A Simple random sample of 100 8th graders at a large suburban middle school indicated that 84% of them are involved with some ty
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Answer: a) (0.755, 0.925)

Step-by-step explanation:

Let p be the population proportion of 8th graders are involved with some type of after school activity.

As per given , we have

n= 100

sample proportion: \hat{p}=0.84

Significance level : \alpha= 1-0.98=0.02

Critical z-value : z_{\alpha/2}=2.33  (using z-value table)

Then, the 98% confidence interval that estimates the proportion of them that are involved in an after school activity will be :-

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

i.e. 0.84\pm (2.33)\sqrt{\dfrac{0.84(1-0.84)}{100}}

i.e. \approx0.84\pm 0.085

i.e. (0.84- 0.085,\ 0.84+ 0.085)=(0.755,\ 0.925)

Hence, the 98% confidence interval that estimates the proportion of them that are involved in an after school activity : a) (0.755, 0.925)

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