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otez555 [7]
3 years ago
6

Write an equation for Greg ordered some books online for $6 each. He paid a total of $3 for shipping. The total cost of the purc

hase was $75.00. How many books did he buy?
Mathematics
1 answer:
telo118 [61]3 years ago
6 0

Answer: he bought 12 books.

Step-by-step explanation:

Let x represent the number of books that Greg bought.

Greg ordered some books online for $6 each. This means that x books would cost $6x

He paid a total of $3 for shipping. The total cost of the purchase was $75.00. This means that

6x + 3 = 75

Subtracting 3 from the left hand side and the right hand side of the equation, it becomes

6x + 3 - 3 = 75 - 3

6x = 72

Dividing the left hand side and the right hand side of the equation by 6, it becomes

6x/6 = 72/6

x = 12

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When the sample size and the sample proportion remain the same, a 90 percent confidence interval for a population proportion p w
deff fn [24]

Answer:

A 90% confidence interval for <em>p</em> will be <u>narrower </u>than the 99% confidence interval.

Step-by-step explanation:

The formula to compute the (1 - <em>α</em>) % confidence interval for a population proportion is:

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

Here \hat p is the sample proportion.

The margin of error of the confidence interval is:

MOE= z_{\alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

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The MOE is directly related to the confidence level and standard deviation.

So if any of the two increases then the MOE also increases, thus widening the confidence interval.

And the MOE is inversely related to the sample size.

So if the sample increases the MOE decreases and vice versa.

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The critical value of <em>z</em> for 90% confidence level is:

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And the critical value of <em>z</em> for 99% confidence level is:

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3 years ago
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