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3 years ago

Manuel bought 9 pounds of apples.

Mathematics

1 answer:

nevsk [136]3 years ago

4 0

Answer:

1) Since Manuel bought 9 pounds and ate 3/4 of 1 pound, he has 8.25 pounds left (9 - 0.75 = 8.25)

2) Let's call "x" the cost of 1 pound of apples

3) (8.25)*(x) = $15

4) x = $1.81818 rounded to the nearest dollar is $2 / pound

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Step-by-step explanation:

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3 years ago

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gtnhenbr [62]

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Formula to find the confidence interval for population proportion is given by :-

$\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

, where $\hat{p}$ = sample proportion.

z* = Critical value

n= Sample size.

Let p be the true proportion of GSU Juniors who believe that they will, immediately, be employed after graduation.

Given : Sample size = 3597

Number of students believe that they will find a job immediately after graduation= 3099

Then, $\hat{p}=\dfrac{3099}{3597}\approx0.8616$

We know that , Critical value for 99% confidence interval = z*=2.576 (By z-table)

The 99 % confidence interval for the proportion of GSU Juniors who believe that they will, immediately, be employed after graduation will be

$0.8616\pm(2.576)\sqrt{\dfrac{0.8616(1-0.8616)}{3597}}$

$0.8616\pm (2.576)\sqrt{0.0000331513594662}$

$\approx0.8616\pm0.0148\\\\=(0.8616-0.0148,\ 0.8616+0.0148)=(0.8468,\ 0.8764)$

Hence, the 99 % confidence interval for the proportion of GSU Juniors who believe that they will, immediately, be employed after graduation. = (0.8468, 0.8764)

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