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4 years ago

11

Bill went to the mall to buy a new pair if tennis shoes. Calculate the sales tax and total price of a $665 pair of shoes with a

6.25% sales tax.

1 answer:

murzikaleks [220]4 years ago

4 0

First you multiply 665*6.25=4156.25

Second you add 665+<span>4156.25=706.5625</span>

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"I used bookstore will trade 2 of its book for 3 of yours. if Val brings in 18 books to trade, how many books can she get from t

sleet_krkn [62]

She would get 12 books
2:3 =?:18

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3 years ago

Suppose a 90% confidence interval for the mean salary of college graduates in a town in Mississippi is given by [$38,737, $50,46

JulsSmile [24]

Answer:

a. The point estimate was of $44,600.

b. The sample size was of 16.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the difference between the two bounds, divided by 2.

a. What is the point estimate of the mean salary for all college graduates in this town?

Mean of the bounds, so:

(38737+50463)/2 = 44600.

The point estimate was of $44,600.

b. Determine the sample size used for the analysis.

First we need to find the margin of error, so:

$M = \frac{50463-38737}{2} = 5863$

Relating the margin of error with the sample size:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.9}{2} = 0.05$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.05 = 0.95$ , so Z = 1.64.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

For this problem, we have that $\sigma = 14300, M = 5863$ . So

$M = z\frac{\sigma}{\sqrt{n}}$

$5863 = 1.645\frac{14300}{\sqrt{n}}$

$5863\sqrt{n} = 1.645*14300$

$\sqrt{n} = \frac{1.645*14300}{5863}$

$(\sqrt{n})^2 = (\frac{1.645*14300}{5863})^2$

$n = 16$

The sample size was of 16.

7 0

3 years ago

Triangle ABC is similar to triangle DEF. If angle A measures 28 degrees and angle B measures 74 degrees. If angle F is the large

MakcuM [25]

Answer: 78 degrees

Step-by-step explanation:

Since the angles of a triangle have to add up to 180 degrees, and angle A is 28 degrees, and angle B is 74 degrees, angle C would have to be 78 degrees so there are a total of 180 degrees in the triangle. Since triangle ABC is similar to triangle DEF, the angle measurements of that triangle would also have to be 28 degrees, 74 degrees, and 78 degrees, corresponding to angles D, E, and F. Since the largest of these numbers is 78 degrees, and angle F is the largest angle of the triangle, that would be your answer.

Hope this helps!

7 0

3 years ago

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$10,000 is invested at two different rates. $2,500 is invested at 4%, and the rest is invested at 5%. How much interest is earne

viva [34]

So, what we have to do is split 10000
0.04(2500) + 0.05(7500)
Multiply:
100 + 375 = 475
$475 is made in one year

6 0

4 years ago

WILL MEDAL AND FAN

Rina8888 [55]

To solve this formula for T it is the last one.
T = Q divided by the quantity M times C.

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3 years ago

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