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Zina [86]
3 years ago
5

Backpack is normally $64.99, put on sale it is marked down to $45.49 what percent off is the sale price

Mathematics
1 answer:
pogonyaev3 years ago
8 0

Answer:

The percent off on the sale price is 30%.

Step-by-step explanation:

Marked up price = $64.99

marked down Price = $45.49

Let us assume the off percentage = k%

Now, the Amount off on the sale = Marked up price - Marked down price

                                                        = $64.99 -  $45.49  = $19.5

⇒  k% off on Marked up Price  $64.99 = $19.5

or, \frac{k}{100}  \times 64.99  = 19.5\\\implies k = \frac{19.5 \times 100}{64.99}  = 30

or, k = 30%

Hence, the percent off on the sale price is 30%

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<h2>Answer with explanation:</h2><h2 />

The confidence interval for population mean is given by :-

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Given : Sample size : n= 5, since n<30 , so the test we use here is t-test.

Sample mean : \overline{x}=1.9\text{ pounds}

Standard deviation: \sigma=0.89\text{ pounds}

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By using the standard normal distribution table , the critical value corresponds to the given significance level will be :-

t_{n-1,\alpha/2}=t_{5-1,0.01/2}=t_{4,0.005}=4.604

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1.9\pm\ (4.604)\dfrac{0.89}{\sqrt{5}}\\\\\approx1.9\pm1.832\\\\=(1.9-1.832,1.9+1.832)=(0.068,\ 3.732)

Hence, the 99% confidence interval for the mean waste recycled per person per day for the population of Texas  = (0.068, 3.732)

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3 years ago
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Answer:

Statistic

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