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3 years ago

10

The ration of girls to boys in a marching band is 10to8 if there are 32 boys in the marching band how many of the students in th

e marching band are girls

1 answer:

daser333 [38]3 years ago

5 0

Answer:

40 girls

Step-by-step explanation:

if there r 32 than u know 8 times 4 equals 32. Then u have to multiply 4 on the other side as well. So 10 times 4 equals 40 girls

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A small single engine airplane flies 120 miles in 2 hours against the wind (headwind). It then turns around and flies 240 miles

Brums [2.3K]

The speed of the airplane is 90 miles per hour and the speed of the wind is 30 miles per hour.

<h3>Relative Speed Concept;</h3>

When the plane flies against the wind;

Relative Speed = 120 = x -y

When the plane flies with the wind;

Relative Speed = 240 = x +y

Where in;

The speed of the air plane = x
The speed of the wind = y

By solving the equations simultaneously; we have;

x = 180 miles in 2 hours and y = 60 in 2 hours.

Ultimately, the speed of the airplane is 90 miles per hour and the speed of the wind is 30 miles per hour.

Read more on relative Speed;

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8 0

3 years ago

a 2015 Gallup poll of 1,627 adults found that only 22% felt fully engaged with their mortgage provider ?

Gala2k [10]

Answer:

1. The population of interest on this case is people who felt fully engaged with their mortgage provider

2. On this case the sample size is 1627 the number of people sample selected.

3. $ME=1.96\sqrt{\frac{0.22 (1-0.22)}{1627}}=0.0201$

4. The 95% confidence interval would be given (0.1999;0.2401).

5. We are confident 95% that the true proportion of proportion is between 0.1999 and 0.2401.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

1. What is the population?

The population of interest on this case is people who felt fully engaged with their mortgage provider

2. What is the sample size?

On this case the sample size is 1627 the number of people sample selected.

3. What is the 95% margin of error?

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

If we replace we got:

$ME=1.96\sqrt{\frac{0.22 (1-0.22)}{1627}}=0.0201$

4. What is the 95% confidence interval?

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

And replacing into the confidence interval formula we got:

$0.22 - 1.96 \sqrt{\frac{0.22(1-0.22)}{1627}}=0.1999$

$0.22 + 1.96 \sqrt{\frac{0.22(1-0.22)}{1627}}=0.2401$

And the 95% confidence interval would be given (0.1999;0.2401).

5. Express your answer to 4 in a meaningful sentence.

We can conclude this:

We are confident 95% that the true proportion of proportion is between 0.1999 and 0.2401.

7 0

3 years ago

What is the answer for Solve for y<br><br> Z=yn

kodGreya [7K]

Z=yn

divide both sides by n to get y by itself

Z/n=yn/n

Cross out n and n, divide by n

Then becomes 1*1*y=y

Answer:

y=Z/n

5 0

3 years ago

Read 2 more answers

Match the equation with the step needed to solve it.

saveliy_v [14]

To Match

To isolate -1 we need to subtract 2m from both sides

2m - 1 = 3m (SUBTRACT 2m)

To isolate 1 we need to subtract m from both sides

2m = 1 + m (SUBTRACT m)

To isolate m we need to add 1 from both sides

m - 1 = 2 (ADD 1)

To isolate m we need to subtract 2 from both sides

2 + m = 3 (SUBTRACT 2)

To isolate m we need to add 2 from both sides

-2 + m = 1 (ADD 2)

To isolate m we need to subtract 1 from both sides

3 = 1 + m (SUBTRACT 1)

The steps needed are written in bold.

7 0

3 years ago

Read 2 more answers

Solve for x. (TYPE ONLY THE NUMBER FOR YOUR ANSWER).

scoray [572]

9514 1404 393

Answer:

x = 7

Step-by-step explanation:

The sum of angle measures in a quadrilateral is 360°.

(8x-5)° +107° +83° +119° = 360°

8x = 56 . . . . . . . divide by °, subtract 304

x = 7 . . . . . . . . . . divide by 8

3 0

3 years ago