-6/5-2/3v+4/15+1/3v Combining like terms to create an equivalent expression

Mathematics

1 answer:

WINSTONCH [101]3 years ago

7 0

Answer:

(-1/3)v - 14/15

Step-by-step explanation:

Group the v terms together and then the constant terms:

v(-2/3 + 1/3) + (-6/5 + 4/15)

This simplifies to:

(-1/3)v + (-18/15 + 4/15), or

(-1/3)v - 14/15

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Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, 32% of all homeowners are ins

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Answer:

$P(X = 0) = 0.2138$

$P(X = 1) = 0.4025$

$P(X = 2) = 0.2841$

$P(X = 3) = 0.0891$

$P(X = 4) = 0.0105$

Step-by-step explanation:

For each homeowner, there are only two possible outcomes. Either they have invested in earthquake insurance, or they have not. The probability of a home owner having invested in earthquake insurance is independent from other homeowners. 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.

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