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2 years ago

I would like to purchase 20 products at a cost 65.00 per product. what will be my total? your state has 3.5% sales tax

Mathematics

2 answers:

xxTIMURxx [149]2 years ago

5 0

20*65 = 1300
That's the price without tax.
Now to find tax:
1300*.035 = 45.5
1300+45.5 = $1345.5

$1345.5 is your total

hichkok12 [17]2 years ago

3 0

<h2>Answer:</h2>

The total is: $ 1345.5

<h2>Step-by-step explanation:</h2>

It is given that:

I would like to purchase 20 products at a cost 65.00 per product.

This means that the cost of 20 products will be:

$20\times 65=\$\ 1300$

Also, there is a sales tax of 3.5%

This means that a person has to pay a extra 3.5% on the total cost of the items he purchased.

i.e. he need to pay 3/5% on $ 1300

This means that the amount of tax he need to pay is: 3.5% of 1300

= 3.5%×1300

= 0.035×1300

= $ 45.5.

Hence, the total cost is: $ 1300+$ 45.5

This means that the total cost is: $ 1345.5

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a) Null hypothesis: $\mu \leq 120$

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Step-by-step explanation:

Information given

$\bar X=130$ represent the sample mean for the amount spent each shopper

$s=40$ represent the sample standard deviation

$n=80$ sample size

$\mu_o =120$ represent the value to verify

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Part a

We want to verify if the shoppers participating in the loyalty program spent more on average than typical shoppers, the system of hypothesis would be:

Null hypothesis: $\mu \leq 120$

Alternative hypothesis: $\mu > 120$

The statistic for this case would be given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236$

The degrees of freedom are given by:

$df = n-1 = 80-1=79$

The p value for this case taking in count the alternative hypothesis would be:

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<u>Given that:</u>

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Please refer to the attached image with labeling of the triangle with the dimensions given.

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