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kaheart [24]
2 years ago
6

f(2) 42 g(x) = 2x +3 Find 4) (. Include any restrictions on the domain. O A. 2.2---3 417 2 > 0 B. 47 2 2 r--3, (1) (a) = (4)

(a) x A 을 c. (5) (r) = 1,2*0 OD (1) (a= + 2​

Mathematics
1 answer:
slamgirl [31]2 years ago
5 0

Answer:

Option D

Step-by-step explanation:

Given f(x) = \sqrt[3]{4x}

g(x) = 2x + 3

Since, (\frac{f}{g})(x)=\frac{f(x)}{g(x)}

                     =\frac{\sqrt[3]{4x}}{2x+3}

This function is defined for the denominator is not equal to zero.

(2x + 3) ≠ 0

x ≠ -\frac{3}{2}

Therefore, Option D will be the correct option.

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An electronic product contains 48 integrated circuits. The probability that any integrated circuit is defective is 0.01, and the
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Answer:

0.6173 = 61.73% probability that the product operates.

Step-by-step explanation:

For each integrated circuit, there are only two possible outcomes. Either they are defective, or they are not. The integrated circuits are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

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This means that n = 48

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The product operates only if there are no defective integrated circuits. What is the probability that the product operates?

This is P(X = 0). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{48,0}.(0.01)^{0}.(0.99)^{48} = 0.6173

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3 years ago
Estelle treated her sister to lunch while visiting her in Lowell. Their lunch cost $80, and the sales tax in Lowell is 15%. If E
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Answer:

Estelle paid $104 in total.

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