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-Dominant- [34]
3 years ago
13

If x = -5 and y = 3 x − 5, then y equals what number?

Mathematics
2 answers:
Nesterboy [21]3 years ago
8 0

Answer:

-20

Step-by-step explanation:

Plug in  -5 for x

Y=3(-5) -5

Y=-20

Hope this helped

:)

Anna35 [415]3 years ago
4 0

Answer:

-20

Step-by-step explanation:

y= 3x-5

y=3(-5)-5

y= -15-5

y= -20

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Answer:

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P(X=x)={4\choose x}\ (0.33)^{x}\ (1-0.33)^{4-x};\ x=0,1,2,3...

(b) The most likely value for <em>X</em> is 1.32.

(c) The probability that at least two of the four selected have earthquake insurance is 0.4015.

Step-by-step explanation:

The random variable <em>X</em> is defined as the number among the four homeowners  who have earthquake insurance.

The probability that a homeowner has earthquake insurance is, <em>p</em> = 0.33.

The random sample of homeowners selected is, <em>n</em> = 4.

The event of a homeowner having an earthquake insurance is independent of the other three homeowners.

(a)

All the statements above clearly indicate that the random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 4 and <em>p</em> = 0.33.

The probability mass function of <em>X</em> is:

P(X=x)={4\choose x}\ (0.33)^{x}\ (1-0.33)^{4-x};\ x=0,1,2,3...

(b)

The most likely value of a random variable is the expected value.

The expected value of a Binomial random variable is:

E(X)=np

Compute the expected value of <em>X</em> as follows:

E(X)=np

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Thus, the most likely value for <em>X</em> is 1.32.

(c)

Compute the probability that at least two of the four selected have earthquake insurance as follows:

P (X ≥ 2) = 1 - P (X < 2)

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Thus, the probability that at least two of the four selected have earthquake insurance is 0.4015.

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