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Tasya [4]
3 years ago
12

Hurry please!!! Fast response

Mathematics
1 answer:
AlladinOne [14]3 years ago
8 0

Answer:

A.

SA= \frac{2}{3} \pi rl+16 \pi r^2

Step-by-step explanation:

Surface area of the original cone

SA= \pi r l + \pi r^2... (1)

When, radius is quadrupled and slant height is reduced to one sixth

i. e. \: \:r = 4r\: \: \&\:\: l= \frac{1}{6}l

Plug the above values of r and l in equation (1), new surface area becomes:

SA= \pi (4r)\times \frac{1}{6} l+ \pi (4r)^2

SA= \frac{4}{6} \pi rl+16 \pi r^2

\huge \purple {\boxed {SA= \frac{2}{3} \pi rl+16 \pi r^2}}

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Six percent of computer chips produced by Cheapo Chips are defective. Each month a random sample of 200 chips manufactured that
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Using the binomial distribution, it is found that the mean of X is of 12, with a standard deviation of 3.36.

For each chip, there are only two possible outcomes, either it is defective, or it is not. The probability of a chip being defective is independent of any other chip, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

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The mean of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

In this problem:

  • Six percent of computer chips produced by Cheapo Chips are defective, hence p = 0.06.
  • Each month a random sample of 200 chips manufactured that month are taken, hence n = 200

Then:

E(X) = np = 200(0.06) = 12

\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{200(0.06)(0.94)} = 3.36

The mean of X is of 12, with a standard deviation of 3.36.

A similar problem is given at brainly.com/question/12473640

4 0
2 years ago
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6 0
3 years ago
ON THE SAME STUDY GUIDE! PLEASE HELP
Lera25 [3.4K]

Answer:

x = 4 ; y = 8

Step-by-step explanation:

we can use a system of two equation

x+1 = y-3

y-5 = 2x-5

we can find x in the first equation

x = y -4

we can now substitute x with this value in the second equation

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y = 8

we can now find x

x = 8-4 = 4

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2(4)-5 = 3

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8-3 = 5

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3 0
3 years ago
Use the distributive property to rewrite the following expression.
Gekata [30.6K]
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7 0
3 years ago
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16*7.96=127.36

127.36ft of steel will be required.
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3 years ago
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