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-BARSIC- [3]
4 years ago
11

Find the common ratio in a geometric sequence where the first term is 2/5 and the third term is 1/10

Mathematics
1 answer:
STALIN [3.7K]4 years ago
3 0
GP is given by = arⁿ⁻¹

First term of GP =  2/5,    a = 2/5      ......(i)

Third term = 1/10,             ar² = 1/10    ......(ii)

(ii) ÷ (i)

ar² ÷ a = (1/10) ÷ (2/5)

r²  =    1/10 × 5/2

r²  =  1/4            Take square root of both sides

r = √(1/4)

r = 1/2.

Common ratio = 1/2.
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Answer:

The probability that none of these taxpayers will be audited by the IRS is 0.8996 or 89.36%

Step-by-step explanation:

According to given:

Probability of being audited for income less than $50,000 = 6/1000 = 0.006

Therefore,

Probability of not being audited for income less than $50,000 = 1 - 0.006 = 0.994

Similary,

Probability of being audited for income more than $100,000 = 49/1000 = 0.049

Therefore,

Probability of not being audited for income more than $100,000 = 1 - 0.049 = 0.951

Now, for the probability of 2 persons with less $50,000 income and 2 persons with more than $100,000 income, to not being audited, we must multiply the probabilities of not being audited of each of the 4 persons.

Therefore,

Probability that none of them is audited = (0.994)(0.994)(0.951)(0.951)

<u>Probability that none of them is audited = 0.8936 = 89.36%</u>

5 0
3 years ago
What is the answer to 10 = 7 - m?
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Answer:

-3

Step-by-step explanation:

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7 0
3 years ago
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Solve for D: 70D + 6 - 9D= 35 + 4D - 20.
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Answer:

The answer is D = 9/57

Step-by-step explanation:

Get the variable D by itself as stated to solve for D.

I got the other numbers to the other side.

70D + 6 - 9D = 35 + 4D - 20.

(70D - 9D - 4D) = (35 - 20 - 6)

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2 years ago
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5.95x = 71.40

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3 years ago
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