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3 years ago

11

You are buying floor tile to cover a room that measures 13 feet by 22 feet. The tile is priced at $19.50 per square yard. How mu

ch will the tile cost?

1 answer:

egoroff_w [7]3 years ago

3 0

1F=1/3Y

(1F)^2=(1/3Y)^2

F^2=1/9Y^2

------------------------

13F x 22F = 286F^2

-------------------------

286F^2 = 286 x 1/9 x Y^2

286F^2 = 286/9 Y^2

-------------------------

286/9 x $19.50 = $619.67

------------------------

Answer:

$619.67

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(A) A small business ships homemade candies to anywhere in the world. Suppose a random sample of 16 orders is selected and each

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Following are the solution parts for the given question:

For question A:

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$\to (\sigma) = 40$

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$\to \bar{X} \pm t_{\frac{\alpha}{2}} \times \frac{S}{\sqrt{n}}$

$\to C.I= 0.90\\\\\to (\alpha) = 1 - 0.90 = 0.10\\\\ \to \frac{\alpha}{2} = \frac{0.10}{2} = 0.05\\\\ \to (df) = n-1 = 16-1 = 15\\\\$

Using the t table we calculate $t_{ \frac{\alpha}{2}} = 1.753$ When $90\%$ of the confidence interval:

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So $90\%$ confidence interval for the mean weight of shipped homemade candies is between $392.47\ \ and\ \ 427.53$ .

For question B:

$\to (n) = 500$

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Here we need to calculate $90\%$ confidence interval for the true proportion of all college students who own a car which can be calculated as

$\to p' \pm Z_{\frac{\alpha}{2}} \times \sqrt{\frac{p'(1-p')}{n}}$

$\to C.I= 0.90$

$\to (\alpha) = 0.10$

$\to \frac{\alpha}{2} = 0.05$

Using the Z-table we found $Z_{\frac{\alpha}{2}} = 1.645$

therefore $90\%$ the confidence interval for the genuine proportion of college students who possess a car is

$\to 0.31 \pm 1.645\times \sqrt{\frac{0.31\times (1-0.31)}{500}}\\\\ \to 0.31 \pm 0.034\\\\ \to 0.276 < p < 0.344$

So $90\%$ the confidence interval for the genuine proportion of college students who possess a car is between $0.28 \ and\ 0.34.$

For question C:

In question A, We are $90\%$ certain that the weight of supplied homemade candies is between 392.47 grams and 427.53 grams.
In question B, We are $90\%$ positive that the true percentage of college students who possess a car is between 0.28 and 0.34.

Learn more about confidence intervals:

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2 years ago

in a history class, the girl to boy ratio is 9 to 5. if there is a total of 70 students how many boys is there

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3 years ago

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