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Semenov [28]
3 years ago
7

What is the surface area of the cylinder? Express the answer in terms of Pi?

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
4 0

Answer:

A

Step-by-step explanation:

<u>Lids</u>

It is not clear how many lids the cylinder has or perhaps it is a solid. I'll say it has 2 lids.

The surface area of one lid = pi * r^2

r = 4

The surface area of one lid is pi*4^2 =16 pi

The surface area of two lids is 32*pi

<u>Body</u>

Length of the body = pi * d

Length of the body = 8 * pi cm

Height of the body = 18 cm

Area = l*h

Area = 8pi * 18 cm

Area = 144 pi

<u>Total</u>

Total Area = 32 pi + 144pi

Area = 176 pi cm^2

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Answer:

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Step-by-step explanation:

The expressions are equivalent to 36x + 24 y

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3 years ago
Here is a simple probability model for multiple-choice tests. Suppose that each student has probability p of correctly answering
Alla [95]

Answer:

a) The probability that Jodi scores 78% or lower on a 100-question test is 4%.

b) The probability that Jodi scores 78% or lower on a 250-question test is 0.023%.

Step-by-step explanation:

a) To approximate this distribution we have to calculate the mean and the standard distribution.

The mean is the proportion p=0.85.

The standard deviation can be calculates as:

\sigma=\sqrt{\frac{p(1-p)}{n} }= \sqrt{\frac{0.85*(1-0.85)}{100} }=0.04

To calculate the probability that Jodi scores 78% or less on a 100-question test, we first calculate the z-value:

z=\frac{p-p_0}{\sigma} =\frac{0.78-0.85}{0.04} =-1.75

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The probability that Jodi scores 78% or lower on a 100-question test is 4%.

b) In this case, the number of questions is 250, so the standard deviation needs to be calculated again:

\sigma=\sqrt{\frac{p(1-p)}{n} }= \sqrt{\frac{0.85*(1-0.85)}{250} }=0.02

To calculate the probability that Jodi scores 78% or less on a 250-question test, we first calculate the z-value:

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The probability for this value of z is

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6 0
3 years ago
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Answer:

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(3a + 2)(4a² - 2a + 9)

Now multiply each value of second bracket with the first bracket:

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Solve the like terms:

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Therefore the answer is 12a^3+2a²+23a+18 ....

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