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Ksivusya [100]
3 years ago
7

What is the answer to this and how do I do it???

Mathematics
1 answer:
fiasKO [112]3 years ago
7 0

Answer

C

You just reverse the way you read the question.

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What is the value of f(g(1)
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Composite functions is a way of substituting one function into another. The value of the composite function f(g(1)) is 1

<h3>Composite functions</h3>

Composite functions is a way of substituting one function into another.


Given the function expressed as:

y = 3√x + 1

g(1) from the mapping is 0

Substitute g(1) = 0 into the given function to have:

f(g(1)) =  3√0 .+ 1

f(g(1)) =0 + 1
f(g(1))  = 1

Hence the value of the composite function f(g(1)) is 1

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7 0
2 years ago
The number of accidents that occur at a busy intersection is Poisson distributed with a mean of 4.5 per week. Find the probabili
Mariana [72]

Answer:

a) 0.01111

b) 0.4679

c) 0.33747

Step-by-step explanation:

We are given the following in the question:

The number of accidents per week can be treated as a Poisson distribution.

Mean number of accidents per week = 4.5

\lambda= 4.5

Formula:

P(X =k) = \displaystyle\frac{\lambda^k e^{-\lambda}}{k!}\\\\ \lambda \text{ is the mean of the distribution}

a) No accidents occur in one week.

P(x =0)\\\\= \displaystyle\frac{4.5^0 e^{-4.5}}{0!}= 0.01111

b) 5 or more accidents occur in a week.

P( x \geq 5) = 1-\displaystyle \sum P(x

c) One accident occurs today.

The mean number of accidents per day is given by

\lambda = \dfrac{4.5}{7} = 0.64

P(x =1)\\\\= \displaystyle\frac{0.64^1 e^{-0.64}}{1!}= 0.33747

5 0
3 years ago
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