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3 years ago

Find (g*f)(3) f(x)=|x+2| g(x)=-x² A -25 B 1 C 4 D -15

Mathematics

1 answer:

gogolik [260]3 years ago

7 0

Answer:

Step-by-step explanation:

(gof)(3) = g(f(3) )

but : f(3) = |3+2| = 5

(gof)(3) = g(f(3) ) = g(5) = -(5)² = -25...answer ; A) -25

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c) 0.2251

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P( trucks undergoing a brake inspection passes the test) = 75% = 0.75

a) Conditions for binomial probability distribution

There are n independent trial.
Each trial have a success probability p
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Then the number of trucks undergoing a brake inspection follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

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We have to evaluate:

$P(8\leq x \leq 10) = P(x = 8) + P(x = 9) + P(x = 10)\\= \binom{15}{8}(0.75)^8(1-0.75)^7 + \binom{15}{9}(0.75)^9(1-0.75)^6 + \binom{15}{10}(0.75)^{10}(1-0.75)^5\\= 0.0393 + 0.0917 + 0.1651\\= 0.2961$

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$P(x = 3)\\= \binom{15}{3}(0.25)^3(1-0.25)^{12}\\=0.2251$

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3 years ago

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gladu [14]

Answer:

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Step-by-step explanation:

Given data

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Recall the expression for the compound interest

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Substitute

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Hence the exponential function is

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2 years ago