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romanna [79]
3 years ago
14

If the ratio of the surface areas of two similar geometrical solids is given by 121:36, what is the

Mathematics
1 answer:
BigorU [14]3 years ago
6 0

Answer:

1331:216

Step-by-step explanation:

Given the ratio of the lengths of two similar solids as a:b

The ratio of the surface areas = a^2:b^2

The ratio of the volume = a^3:b^3

We are given that the ratio of the surface areas of two similar geometrical solids is given by 121:36

Therefore:

a^2:b^2=121:36\\\implies a^2:b^2=11^2:6^2\\\implies a:b=11:6

Since the ratio of the lengths is 11:6

The ratio of their volumes = 11^3:6^3

=1331:216

The ratio of the volume of the two similar geometrical solids is 1331:126.

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A researcher wants to estimate the percentage of all adults that have used the Internet to seek pre-purchase information in the
Lubov Fominskaja [6]

Answer:

The required sample size for the new study is 801.

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 is:

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

25% of all adults had used the Internet for such a purpose

This means that \pi = 0.25

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.

What is the required sample size for the new study?

This is n for which M = 0.03. So

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

0.03 = 1.96\sqrt{\frac{0.25*0.75)}{n}}

0.03\sqrt{n} = 1.96\sqrt{0.25*0.75}

\sqrt{n} = \frac{1.96\sqrt{0.25*0.75}}{0.03}

(\sqrt{n})^2 = (\frac{1.96\sqrt{0.25*0.75}}{0.03})^2

n = 800.3

Rounding up:

The required sample size for the new study is 801.

4 0
3 years ago
What is 123 round to the nearest hundered
irina1246 [14]
123 rounded to the nearest hundred is 100 i believe
8 0
3 years ago
Read 2 more answers
-4.67 + (5.24 – <br> ) – (<br> + 7.98) = 13.26
Vadim26 [7]

Answer:

6

Step-by-step explanation:

8 0
2 years ago
So can someone show there work in this one?
mihalych1998 [28]

just separate the ramge and domain

4 0
3 years ago
Help please
mezya [45]

Answer:

Step-by-step explanation:

Remark

My guess is that what is confusing you is not what you have to do, but why it is disguised as g(n)

What you are doing in effect is setting up a table. You are also not certain where the table starts. And that is a problem. I will start it at zero, but it might be 1.

zero

n = 0

g(0) = 34 - 5*0

g(0) = 34

One

n = 1

g(1) = 34 - 5*1

g(1) = 34 - 5

g(1) = 29

Two

g(2) = 34 - 5*2

g(2) = 34 - 10

g(2) = 24

Three

g(3) = 34 - 5*3

g(3) = 34 - 15

g(3) = 19

Four

g(4) = 34 - 5*4

g(4) = 34 - 20

g(4) = 19

Answer

0      1       2       3      4

34  29     24     19     14

7 0
2 years ago
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