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3 years ago

Raj bought a pair of basketball shoes for $70 the sales tax on the shoes was $5.60 what represents the sales tax rate

1 answer:

6 0

Hello!

You divide how much tax was by the total cost of the shoes

5.60 / 70 = 0.08

Convert the decimal into a percent

The answer is 8%

Hope this helps!

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Explain the different types of motion of a sewing machine

Lana71 [14]

Answer:

linear.

rotary.

reciprocating.

oscillating.

hope it wil help you

4 0

3 years ago

A candidate for a US Representative seat from Indiana hires a polling firm to gauge her percentage of support among voters in he

UkoKoshka [18]

Answer:

a) The minimum sample size is 601.

b) The minimum sample size is 2401.

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 margin of error is:

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

For this problem, we have that:

We dont know the true proportion, so we use $\pi = 0.5$ , which is when we are are going to need the largest sample size.

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

a. If a 95% confidence interval with a margin of error of no more than 0.04 is desired, give a close estimate of the minimum sample size that will guarantee that the desired margin of error is achieved. (Remember to round up any result, if necessary.)

This is n for which M = 0.04. So

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

$0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.04\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.04}$

$(\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2$

$n = 600.25$

Rounding up

The minimum sample size is 601.

b. If a 95% confidence interval with a margin of error of no more than 0.02 is desired, give a close estimate of the minimum sample size necessary to achieve the desired margin of error.

Now we want n for which M = 0.02. So

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

$0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.02\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.02}$

$(\sqrt{n})^2 = (\frac{1.96*0.5}{0.02})^2$

$n = 2401$

The minimum sample size is 2401.

4 0

3 years ago

tim drives at an average speed of 80km per hour for 3 hours 35 minutes work out how many kilometres tim drives

Virty [35]

Answer:

286 2/3 km

Step-by-step explanation:

Recalling that 1 hour = 60 minutes, we convert '3 hours 35 minutes' to

3 + (35/60) hours, or 3 35/60 hours, or 3.5833 hours.

Since distance = (rate)(time),

the distance driven by tim is (80 km/hr)(3.5833 hrs) = 286 2/3 km

8 0

3 years ago

57; 27; 72; 36; 61; 81; 45 From the numbers above, choose a prime factor

Mrrafil [7]

Answer:

Step-by-step explanation:

3 0

2 years ago

Brent decorated 1/6 of his sugar cookies with blue frosting 1/4 with yellow frosting and 3/8 with purple frosting which frosting

velikii [3]

If you look at the denominators, they all have a common number they can all multiply into: 24. If you multiply each number in the fraction so that the denominator equals 24, you get this:
1/6 x 4 = 4/24
1/4 x 6 = 6/24
3/8 x 3 = 6/24

Therefore, blue frosting (1/6) is used the least.

Hope this helps:

3 0

2 years ago