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3 years ago

I don’t know how to do the first one

Mathematics

2 answers:

Tema [17]3 years ago

4 0

Answer:

10.9 people per square mile

Step-by-step explanation:

If you look at the chart, there are 41.5 people per square mile in Colorado and 52.4 people per square mile in Iowa. To find the answer, simply subtract:

52.4 - 41.5 = 10.9

Hatshy [7]3 years ago

4 0

Answer:

Hello!! The answer for #15 is 10.9 people per square mile.

Step-by-step explanation:

First, set up your equation. Then subtract left-to-right. You'll need to regroup! You can't subtract 5 from 4, so you'll need to take ten from 2. This will make your tenths place .9 and your tens place 0. Then just subtract 4 from 5 to get 1 in your ones place.

Hope this helped!!

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At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population pro

Gnom [1K]

Answer:

A sample of 1068 is needed.

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:

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

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 $Z = 1.96$ .

At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population proportion?

We need a sample of n.

n is found when M = 0.03.

We have no prior estimate of $\pi$ , so we use the worst case scenario, which is $\pi = 0.5$

Then

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

$0.03 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.03\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.03}$

$(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.03})^{2}$

$n = 1067.11$

Rounding up

A sample of 1068 is needed.

8 0

3 years ago

A cylindrical can has a volume of 2in^(3). Express the surface area of the can as a function of its radius,r.

noname [10]

$V=2 \text{ in}^3\\
A=2\pi r (r+h)\\
h=?\\\\
V=\pi r^2h=2\\
\pi r^2h=2\\
h=\dfrac{2}{\pi r^2}\\
A=2\pi r\left(r+\dfrac{2}{\pi r^2}\right)\\
\boxed{A=2\pi r^2+\dfrac{4}{r}}
 
$

7 0

3 years ago

Im gonna cry please help

aleksandr82 [10.1K]

Answer:

Rule 3

Step-by-step explanation:

The values correspond to the equation y=3^x

3 0

3 years ago

Consider the two properties that you would use to solve an equation like 3x + 5 = 26. Which of the following is true? The standa

gladu [14]

The subtraction property of equality: if we subtract one side of the equation then we also must subtract from the other side of the equation.
The division property of equality: if we divide one side of the equation by a number then we also must divide the other side by the same number.
For this equation:
3 x + 5 = 26
3 x + 5 - 5 = 26 - 5 ( the Subtraction Property of Equality )
3 x = 21
3 x : 3 = 21 : 3 ( the Division Property of Equality )
x = 7
Answer: C ) The standard method for solving an equation like 3 x + 5 = 26 is to use the Subtraction Property of Equality and then the Division Property of Equality.

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3 years ago

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10!•8!/8!•7! simplify This equation

saveliy_v [14]

The answer is 4480 hope it helps

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3 years ago