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3 years ago

Store A

Mathematics

1 answer:

MArishka [77]3 years ago

4 0

<h3>Answer: Choice C) $1,444.50</h3>

========================================================

There are two methods to get the answer.

The slightly longer method is to take 7% of the original price to get

7% of 1350 = (7/100)*1350 = 0.07*1350 = 94.50

The sales tax is $94.50

Add this onto the original price to get 1,350+94.50 = 1,444.50

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

A shortcut is to multiply the original price by 1.07

The multiplier 1.07 represents a 7% increase since

1 = 100%
0.07 = 7%
1.07 = 1 + 0.7 = 100% + 7%

So we will have 1.07*1350 = 1,444.50

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gtnhenbr [62]

Answer: (0.8468, 0.8764)

Step-by-step explanation:

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

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

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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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3 years ago