Answer:
the third one (-2,1)
Step-by-step explanation:
The inverse function of the function f(x) will be f⁻¹(x) = 4x + 48. Then the correct option is D.
The complete question is attached below.
<h3>What is inverse of a function?</h3>
Suppose that the given function is
f: X → Y
Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is
f⁻¹: Y → X
It simply means, inverse of 'f' is an undo operator, that takes back the effect of 'f'
The function is given below.
f(x) = (1/4)x – 12
Then the inverse function of the function f(x) will be
(1/4)f⁻¹(x) - 12 = x
f⁻¹(x) = 4x + 48
Then the correct option is D.
Learn more about inverse function here:
brainly.com/question/19425567
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Answer:the probability that exactly five customers make a purchase is 0.033
Step-by-step explanation:
The formula for binomial distribution is expressed as
P(x = r) = nCr × q^(n - r) × p^r
Where
p = probability of success
q= probability of failure
n = number of sample
From the information given,
39 percent of all customers who enter a store will make a purchase. It means that the probability of success, p = 39/100 = 0.39
The probability of failure q, would be 1 - p = 1 - 0.39 = 0.61
n = 6
The probability that exactly five customers make a purchase is expressed as
P(x = 5) = 6C5 × 0.61^(6 - 5) × 0.39^5
P(x = 5) = 6 × 0.61× 0.39^5 = 0.033