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zavuch27 [327]
3 years ago
7

It is known that 10% of the items produced by a certain machine end up having a flaw. If we select 7 items from the production l

ine, a) What is the probability that at least one of them has a flaw? Part b) What is the probability that exactly three of them has a flaw?
Mathematics
1 answer:
denpristay [2]3 years ago
6 0

Step-by-step explanation:

p = 0.1, q = 0.9, n = 7

a) Use complementary probability.

P(at least 1) = 1 − P(0)

P(at least 1) = 1 − (0.9)⁷

P(at least 1) = 0.522

b) Use binomial probability.

P = nCr pʳ qⁿ⁻ʳ

P(3) = ₇C₃ (0.1)³ (0.9)⁴

P(3) = 0.023

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Express the null hypothesis and the alternative hypothesis in symbolic form. The owner of a football team claims that the averag
Brilliant_brown [7]

Answer:

H_{0}: \mu \leq 63500\\H_A: \mu > 63500

Step-by-step explanation:

We are given the following in the question:

The owner of a football team claims that the average attendance at games is over 63,500.

He wants to justify that the team needs to be moved to a larger stadium outside the city.

If the attendance is larger than 63,500 the team would be moved to a larger stadium and if it is less than or equal to 63,500 that it would not.

Thus, the null and alternate hypothesis will be designed as:

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3 years ago
The area of the triangle below is square meters. What is the length of the base?
Elena-2011 [213]

Answer:

  • 5/3 m

Step-by-step explanation:

<u>Given triangle with: </u>

  • Height =  1/2 m and
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  • Base = ?

<u>Use the area formula and find b:</u>

  • A = 1/2bh ⇒
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<u>Substitute values:</u>

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3 years ago
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3 years ago
What is the sum of an 8-term geometric series if the first term is -11, the last term is 859,375, and the common ratio is -5?
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Formula of the sum of the 1st nth term in a Geometric Progression:


Sum = a₁(1-rⁿ)/(1-r), where a₁ = 1st term, r = common ratio and n= rank nth of term (r≠1)

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Sum = (-11)(1- 390625)/(6)


SUM = 716,144
3 0
3 years ago
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