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2 years ago

9

Hilda adds 5 to a number, then multiples the sum by -2. The result is 6. Write and equation to find the number, x. What is the n

umber?

1 answer:

Novay_Z [31]2 years ago

3 0

(x+5)*(-2) = 6

distribute

-2x -10 = 6

add 10 to each side

-2x -10 +10 = 6+10

-2x = 16

divide by -2

-2x/-2 = 16/-2

x = -8

The number is -8

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Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:

$X \sim Binom(n=8, p=0.9)$

The probability mass function for the Binomial distribution is given as:

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Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And for this case we want to find this probability:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

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3 years ago

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Read more about average at:

brainly.com/question/20118982

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