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gladu [14]
3 years ago
6

Lines m and n are parallel lines cut by a transversal l.

Mathematics
1 answer:
lord [1]3 years ago
4 0
The second option. Angles 2 and 6 are corresponding angles, and 6 and 7 make a linear pair, so 2 and 7 are supplementary.

The first option doesn’t even mention angle 7, the third option doesn’t mention angle 2, and the last option doesn’t mention 7 either.
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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
zzz [600]

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

Probability of exactly <u>x successes on n repeated trials, with p probability.</u>  

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
Local extreme Value for each of the Following A) F(x)=x^² - 4x² +5​
kobusy [5.1K]

Answer:

max{x²-4x²+5} = 5 at x = 0

Step-by-step explanation:

1. Find the critical numbers by finding the first derivative of f(x), set it to 0 and solve for x.

f'(x)=0

We get:

f(x) = -3x^2+5\\f'(x) = -6x\\-6x = 0\\x = 0

So the critical number is x = 0.

2. Evaluate the first derivative by plugging in the critical number and see if the derivative is positive or negative on both sides:

f'(x) is positive when the x < 0 (for example: -6*(-1)=+)

f'(x) is negative when the x > 0 (for example: -6*(1)=-)

Therefore, you have a local maximum.

Now just get the Y value by plugging in the critical number in the original function. f(0)=5

local maximum is (0,5)

4 0
2 years ago
Malia is booking train tickets for her family. Tickets cost $75 per adult, $50 per senior or per person between the ages of 12 a
soldi70 [24.7K]

Answer:235$

Step-by-step explanation:

8 0
3 years ago
Can someone help me on this question
andre [41]

Answer:

The answer is about 32,000.

Step-by-step explanation:

If you multiply 3.2 by 10, for 10 years, you get 32 percent. From there, if you multiply 25,000 by 0.32, you get 8000. If you add 25,000 to 8000, you get about 32,000.

5 0
3 years ago
4. Find the value of n that makes this equation true. (Use
andreyandreev [35.5K]

Answer:

n=4

Step-by-step explanation:

We start off with 3.2n + 13.3 = 26.1.

We need to get n by itself.

Subtract 13.3 from both sides.

3.2n+13.3-13.3=26.1-13.3

26.1-13.3=12.8

We end up with: 3.2n=12.8

Divide 3.2 on both sides to get n by itself.

\frac{3.2n}{3.2} =\frac{12.8}{3.2}\\ n=4

7 0
3 years ago
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