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kaheart [24]
3 years ago
12

Given the function f(x) = 4 - 2x: If the domain is {-4, 0, 5}, find the range. A) {-4, 4, -6} B) {-4, 4, 14} C) {12, 4, -6} D) {

12, 4, 14)
Mathematics
2 answers:
Ivenika [448]3 years ago
7 0
F(x) = 4 - 2x                   Domain = x = -4, 0, 5

f(x) = 4 - 2(-4) = 4 - (-8) = 12  

f(x) = 4 - 2(0) = 4 - 0 = 4

f(x) = 4 - 2(5) = 4 - 10 = -6

f(x) = 12, 4, -6

The range is C. 
Luda [366]3 years ago
4 0
It's C. Good luck on your finals!
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Ivanshal [37]

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For each item, there are only two possible outcomes. Either it is defective, or it is not. The probability of an item being defective is independent of other items. So 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}

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And p is the probability of X happening.

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This means that p = 0.15

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P(X \leq 1) = P(X = 0) + P(X = 1)

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

P(X = 0) = C_{6,0}.(0.15)^{0}.(0.85)^{6} = 0.3771

P(X = 1) = C_{6,1}.(0.15)^{1}.(0.85)^{5} = 0.3993

P(X \leq 1) = P(X = 0) + P(X = 1) = 0.3771 + 0.3993 = 0.7764

77.64% probability that there will be 0 or 1 defects in a sample of 6.

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