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3 years ago

In the Changing Dimensions of 3D Figures

Mathematics

1 answer:

den301095 [7]3 years ago

7 0

Answer:factor of 9

Step-by-step explanation:

Given

prism were changed by a scale factor of 3

Suppose prism is rectangular in shape

So surface are is $S.A.=2(lw+wb+lb)$

Where l=length

w=width

b=breadth

So new length,breadth and width is

$l'=3l$

$w'=3w$

$b'=3b$

$S.A.=2(3\times 3lw+3\times 3wb+3\times 3lb)$

$S.A.=2\times 3^2(lw+wb+lb)$

$S.A.=3^2\times 2(lw+wb+lb)$

So new surface area would change by a factor of 9

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Box plot i dont understand any thing about it

Inga [223]

Answer:

Just put the numbers in order then the interquartile range would be the largest number from the high quartile and the lowest number from the lower quartile.

5 0

3 years ago

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

Evaluate. 102+6⋅7+8 70142150190

Aloiza [94]

Hi.

102+6(7)+8 (your equation)
102+ 42+ 8 (since the order is PEMDAS, multiplication has to go first. 6x7=42
144 + 8 (since you go left to right, 102 +42 has to be 1st. Answer= 144)
152 (now the only thing left is 144 + 8, so do that. Answer= 152.)

Since that's the last step, 152 will be your answer.

Hoped I helped and if you need anymore you could always ask me~

-Dawn

6 0

3 years ago

Read 2 more answers

If the measure of an angle is 49 degrees, what is the measure of its complement?

Slav-nsk [51]

Answer:

Step-by-step explanation:

7 0

2 years ago

Find the value of x. Round your answer to the nearest tenth.

NARA [144]

Answer:

24.2

Step-by-step explanation:

c = b·sin(C)/sin(B) = 24.15071

4 0

2 years ago