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lidiya [134]
3 years ago
5

A tree is 3 times as tall as a nearby pole. If the tree is 14 feet 9 inches tall, how tall is the pole?

Mathematics
1 answer:
sveticcg [70]3 years ago
8 0
Take the height of the tree and convert it to inches by multiplying the feet by 12 and then adding the leftover inches; this comes out to 177 inches. Divide this number by 3 to receive the height of the pole; this turns out to be 59 inches. Then convert it to get and inches to get 4 feet 11 inches, because 5 feet is 60 inches.
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Kaya used these steps to solve the equation 7 + 2x = 2(x - 1) + 4. Which choice describes the meaning of her result, 7 = 2?
Whitepunk [10]

Answer is A

7 + 2X = 2(X-1) + 4

7 + 2X = 2X-2+4

7 + 2X = 2X + 2 whether 2X = 2X-5  or 5 + 2X = 2X still  0 = 5 Or 0= -5 which is not possible

4 0
3 years ago
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According to the U.S. Bureau of Labor Statistics, 20% of all people 16 years of age or older do volunteer work. In this age grou
Murljashka [212]

Answer:

1. P(X≥35) = 0.0183

2. P(X≤21) = 0.0183

3. P(0.18<p<0.25) = 0.7915

Step-by-step explanation:

We have the proportion for women: pw=0.22, and the proportion for men: pm=0.19.

1. We have a sample of 140 woman and we have to calculate the probability of getting 35 or more who do volunteer work.

This is equivalent to a proportion of

p=X/n=35/140=0.25

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.22*0.78}{300}}\\\\\\ \sigma_p=\sqrt{0.0006}=0.0239

We calculate the z-score as:

z=\dfrac{p-p_w}{\sigma_p}=\dfrac{0.25-0.22}{0.0239}=\dfrac{0.03}{0.0239}=0.8198

Then, the probability of having 35 women or more who do volunteer work in this sample of 140 women is:

P(X>35)=P(p>0.25)=P(z>2.0906)=0.0183

2. We have to calculate the probability of having 21 or fewer women in the group who do volunteer work.

The proportion is now:

p=X/n=21/140=0.15

We can calculate then the z-score as:

z=\dfrac{p-p_w}{\sigma_p}=\dfrac{0.15-0.2}{0.0239}=\dfrac{-0.05}{0.0239}=-2.0906

Then, the probability of having 21 women or less who do volunteer work in this sample of 140 women is:

P(X

3. For the sample with men and women, we use the proportion for both, which is π=0.2.

The sample size is n=300.

Then, the standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.2*0.8}{300}}\\\\\\ \sigma_p=\sqrt{0.0005}=0.0231

We can calculate the z-scores for p1=0.18 and p2=0.25:

z_1=\dfrac{p_1-\pi}{\sigma_p}=\dfrac{0.18-0.2}{0.0231}=\dfrac{-0.02}{0.0231}=-0.8660\\\\\\z_2=\dfrac{p_2-\pi}{\sigma_p}=\dfrac{0.25-0.2}{0.0231}=\dfrac{0.05}{0.0231}=2.1651

We can now calculate the probabilty of having a proportion within 0.18 and 0.25 as:

P=P(0.18

5 0
3 years ago
What is the solution <br> to 1/2n+3=6
Alona [7]

n in (-oo:+oo)

(1/2)*n-3 = 6 // - 6

(1/2)*n-6-3 = 0

1/2*n-9 = 0 // + 9

1/2*n = 9 // : 1/2

n = 9/1/2

n = 18

n = 18

5 0
3 years ago
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What goes into 32 and 12
zimovet [89]

Answer:

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Step-by-step explanation:

6 0
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pychu [463]

Answer:

She messed up the equation, A= B x h, she changed it midway, and also, you need to add the one half to make the equation valid

Step-by-step explanation:

A=1/2 x b xh

17.5 = 1/2 x 5 x h

35=5h     (multiply both sides by 2 to get rid of one half)

35/5 = 5h/5

7=h

The height of the triangle is 7 units

Please mark me brainliest, it really helps!

6 0
2 years ago
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