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3 years ago

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Mathematics

1 answer:

igomit [66]3 years ago

3 0

Answer:

(7,2)

Step-by-step explanation:

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The ages of registered voters in Smith County are normally distributed with a population standard deviation of 3 years and an un

eimsori [14]

Answer:

The margin of of error for a 95% confidence interval for the population mean is of 1.39 years.

Step-by-step explanation:

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

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

The margin of error is:

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

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

Population standard deviation of 3 years

This means that $\sigma = 3$

Sample of 18 voters

This means that $n = 18$

Margin of error:

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

$M = 1.96\frac{3}{\sqrt{18}}$

$M = 1.39$

The margin of of error for a 95% confidence interval for the population mean is of 1.39 years.

3 0

3 years ago

What is 2 x 10 to the -6th power?

White raven [17]

Answer:

2 x 10 to the -6th power is .000002.

3 0

3 years ago

Read 2 more answers

Tom and Jason both collect marbles Tom has collected 510 marbles and Jason has collected 842 marbles. How many marbles do they o

dezoksy [38]

Answer:

They had 1,352 marbles all together, rounded to the nearest hundred, 1,400.

Step-by-step explanation:

All we have to do is add the number of marbles they collected.

510 + 842 = 1,352

1,352 rounded to the nearest hundred is 1,400.

7 0

3 years ago

Read 2 more answers

|2x|=14

mafiozo [28]

x = +7 or -7

a = +3 or -3

x = +19 or -5

n = -5 or -7

p = +4 or -2

x = +11 or +1

a = -11 or -7

k = +16 or 0

m = -1 or 0

r = +6 or +1

5 0

3 years ago

Read 2 more answers

In circle F with m \angle EFG= 122m∠EFG=122 and EF=16EF=16 units, find the length of arc EG. Round to the nearest hundredth.

kow [346]

Given:

In circle F, $m\angle EFG=122^\circ,\ EF=16$ units.

To find:

The length of arc EG.

Solution:

It is given that, $m\angle EFG=122^\circ,\ EF=16$ units. It means the central angle of arc EG is 122 degrees and the radius of the circle F is 16 units.

Formula for arc length is:

$s=2\pi r\times \dfrac{\theta}{360^\circ }$

Where, r is the radius and $\theta$ is the central angle in degrees.

Putting $r=16,\ \theta=122^\circ,\ \pi=3.14$ , we get

$s=2(3.14)(16)\times \dfrac{122^\circ}{360^\circ }$

$s=100.48\times \dfrac{61}{180}$

$s=34.0515556$

$s\approx 34.05$

Therefore, the length of arc EG is 34.05 units.

6 0

3 years ago