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3 years ago

What is 56/42 in simplest form?

Mathematics

1 answer:

nydimaria [60]3 years ago

4 0

4/3 or 1.3333 or 1 1/3 they are the same thing just in varies forms

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Determine if the set is well defined or not well defined.<br> The set of U.S. cities

Kisachek [45]

Answer:

Well-defined

Step-by-step explanation:

Because it clearly refers to the cities in the U.S.

7 0

3 years ago

A sociologist wishes to estimate the percentage of the United States population living in poverty. What size sample should be ob

andriy [413]

Answer:

a) We need a sample size of at least 705.

b) We need a sample size of at least 1692.

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:

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

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

a) If she uses 1999 estimate of 11.8% obtained from the Current Population Survey.

We need a sample of size at least n

n is found when $M = 0.02, \pi = 0.118$ .

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

$0.02 = 1.645\sqrt{\frac{0.118*0.882}{n}}$

$0.02\sqrt{n} = 1.645\sqrt{0.118*0.882}$

$\sqrt{n} = \frac{1.645\sqrt{0.118*0.882}}{0.02}$

$(\sqrt{n})^{2} = (\frac{1.645\sqrt{0.118*0.882}}{0.02})^{2}$

$n = 704.08$

Rounding up

We need a sample size of at least 705.

b) She does not use any estimate.

Same thing as above, we just use $\pi = 0.5$ when do not use any estimate.

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

$0.02 = 1.645\sqrt{\frac{0.5*0.5}{n}}$

$0.02\sqrt{n} = 1.645\sqrt{0.5*0.5}$

$\sqrt{n} = \frac{1.645\sqrt{0.5*0.5}}{0.02}$

$(\sqrt{n})^{2} = (\frac{1.645\sqrt{0.5*0.5}}{0.02})^{2}$

$n = 1691.2$

Rounding up

We need a sample size of at least 1692.

4 0

3 years ago

Find the equation of a line?

vredina [299]

Answer:

You can put this equation into point slope formula which is…

y-y1= m(x-x1)

Whilst m is slope
x1 and y1 (x1, y,1)

So in this case lets find the slope first.
Slope is calculated by y2-y1/ x2-x1
Can be any point.

7-(-1) / 1-(-3)
Which is
2

Slope is 2

So plug it in.

y-(-1)= 2(x-(-3)

Solve
y+1= 2x+6
isolate y

Y=2x+5
Your equation is y=2x+5

4 0

3 years ago

Fill out the chart. I don’t understand.

devlian [24]

6
8
6
2
hope it helps i think that is answer

6 0

4 years ago

Lin is running on a track. Lin runs 5 laps around a track in 6 minutes. How many laps per minute is that? (Find both Unit Rates)

grandymaker [24]

They got the 1.2 minutes by taking the total number of minutes (6) and dividing them by the number of laps run (5). So 6 divided by 5 gives you the 1.2.

3 0

3 years ago