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3 years ago

Please help 56 points or more good answer gets branliest

Mathematics

1 answer:

Natali5045456 [20]3 years ago

5 0

The distance between the cities is 280 miles. The rule is y = 40x, where x is the distance in inches on the map and y is the distance in miles.

Step-by-step explanation:

Step 1:

The map's key shows that 5 inches on the map equal 200 miles of actual distance.

5 inches on the map = 200 miles of actual distance,

if we divide both sides by 5, we get;

1 inch on the map = 40 miles of actual distance.

Step 2:

If x is the distance on the map in inches and y is the actual distance in miles,

y = 40x.

If the map distance 7 inches, x = 7.

Substituting, x =7 in the equation, $y = 40(7) = 280$ .

So the actual distance between the cities is 280 miles.

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g A researcher wants to construct a 95% confidence interval for the proportion of children aged 8-10 living in Atlanta who own a

Helga [31]

Answer:

The sample size needed 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 of the interval 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 $Z = 1.96$ .

Estimate the sample size needed if no estimate of p is available so that the confidence interval will have a margin of error of 0.02.

We have to find n, for which M = 0.02.

There is no estimate of p available, so we use $\pi = 0.5$

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

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

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

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

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

$n = 2401$

The sample size needed is 2401.

7 0

3 years ago

Read 2 more answers

What number is half way between 21 and 63?

andre [41]

The # halfway in between 21 and 63 is 42.

8 0

3 years ago

what is the volume of the cone with radius 6 inches and height 10 inches express the answer in terms of pi

Vanyuwa [196]

Answer:

V = (1/3)(π)(6 in)²(10 in) = 120π in³

Step-by-step explanation:

The volume of a cone of radius r and height h is V = (1/3)πr²h.

Here, that volume is V = (1/3)(π)(6 in)²(10 in) = 120π in³

6 0

3 years ago

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What is pi minus pi plus pi divided by pi x 25.9. WILL MARK BRAINLIEST

mestny [16]

Answer:

25.9

Step-by-step explanation:

25.9

pi-pi+pi/pi is 0+(1*25.9) which is 25.9

Hope this helps :D

8 0

3 years ago

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A membership committee of three is formed from four eligible members. Let the eligible members be represented by A, B, C, and D.

yKpoI14uk [10]

The correct statement is:

There are four ways to choose the committee.
There are three ways to form the committee if person D must be on it.
If persons B and C must be on the committee, there are two ways to form the committee.

It is given that:

A membership committee of three is formed from four eligible members.

1) There are four ways to choose the committee.

This statement is true.

Since we have to choose 3 members out of the 4 members so we can use the method of combination.

2) There are three ways to form the committee if person D must be on it.

This statement is also true.

Since D has to be in the committee, this means we have to choose 2 more people out of the three people to form the committee.

3) If seven members are eligible next year, then there will be fewer combinations.

This statement is wrong.

Since we have to choose 3 members out of 7 members so the number of possible combinations will be:

There are 35 combinations possible.

4) If persons B and C must be on the committee, there are two ways to form the committee.

If B and C have to be in the committee then we have to choose just one person out of the two people left.

Hence, the statement is true.

5) If persons A and C must be on the committee, then there is only one way to form the committee.

If A and C have to be on the committee then as in the last option we have to choose any one of the two-person left.

So possible number of ways is 2.

Hence, the statement is false.

Learn more about committee here: brainly.com/question/425830

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<em>Your question is incomplete. Please read below to find the missing content.</em>

<em />

A membership committee of three is formed from four eligible members. Let the eligible members be represented by A, B, C, and D. The possible outcomes include S = {ABC, ABD, ACD, BCD}.

Which statements about the situation are true? Check all that apply.

There are four ways to choose the committee.

There are three ways to form the committee if person D must be on it.

If seven members are eligible next year, then there will be fewer combinations.

If persons B and C must be on the committee, there are two ways to form the committee.

If persons A and C must be on the committee, then there is only one way to form the committee.

8 0

2 years ago