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2 years ago

Percy paid $24.10 for a basketball. The price of the basketball was $22.99. What was the sales tax rate? 4.58%

1 answer:

8 0

For this case we can make the following rule of three:
$ 22.99 ----> 100%
24.10 $ ----> x
Clearing x we have:
x = (24.10 / 22.99) * (100)
x = 104.8%
Therefore, the sales tax is:
104.8-100 = 4.8%
Answer:
the sales tax rate was:
4.8%

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A 90 percent confidence interval is to be created to estimate the proportion of television viewers in a certain area who favor m

Dominik [7]

Answer:

This means that the first interval, with 9000 viewers, is 3 times as narrower as the second interval, with 1000 viewers.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The width of the interval is:

$W = 2z\sqrt{\frac{\pi(1-\pi)}{n}}$

In this sample:

Two 90% intervals, with different lenghts. So both have the same values for z an $\pi$

Interval A:

9000 viewers.

So the width is

$W_{A} = 2z\sqrt{\frac{\pi(1-\pi)}{9000}}$

Interval B:

100 viewers

So the width is

$W_{B} = 2z\sqrt{\frac{\pi(1-\pi)}{1000}}$

Relationship between the widths:

$R = \frac{W_{A}}{W_{B}} = \frac{2z\sqrt{\frac{\pi(1-\pi)}{9000}}}{2z\sqrt{\frac{\pi(1-\pi)}{1000}}} = \frac{\sqrt{1000}}{\sqrt{9000}} = \frac{\sqrt{1}}{\sqrt{9}} = \frac{1}{3}$

This means that the first interval, with 9000 viewers, is 3 times as narrower as the second interval, with 1000 viewers.

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2 years ago

To increase an amount by 7% what single multiplier would you use?

vazorg [7]

You would multiply by 1.7

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2 years ago

Read 2 more answers

A local PTA runs a fundraiser, selling lottery tickets for $5, offering 1 first prize of $100 and 5 second prizes worth $20 each

podryga [215]

100 tickets were sold.
The total amount of the tickets sold is = 5 * 100 = $500.
First prize given = $100
Second prize worth = $20 * 5 = $100
Total worth of prize + $100 + $100 = $200.
Net amount of tickets sold = $500 - $200 = $300
Expected price of each ticket sold = $300/100 = 3.
Therefore, the real price of each ticket sold is $3.

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2 years ago

A fence is made from 32 identical pieces of wood, each of length 2 metres correct to nearest centimetre.

gtnhenbr [62]

200cm which has been rounded up to to the nearest cm meaning it could be 199.5cm. Then times it by 32.

199.5 x 32 = 6384cm

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2 years ago

Which of the following is a zero of the function f(x) = x3 - x2 - 21x + 45.

marin [14]

The zeros are 3 and -5. Hope this helps!

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2 years ago