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Brilliant_brown [7]
3 years ago
10

hich equation represents a line that passes through (5, 1) and has a slope of ? y – 5 = (x –1) y – = 5(x –1) y – 1 = (x –5) y –

1 = 5
Mathematics
1 answer:
gtnhenbr [62]3 years ago
3 0

Answer:

The equation that would represent it would be y - 1 = (x - 5)

Step-by-step explanation:

In order to get this, we can start with the base form of point-slope form.

y - y1 = m(x - x1)

Now put the point in for (x1, y1)

y - 1 = (x - 5)

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Step-by-step explanation:

2x-3x=5+10

-x=15

X=-15

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X-1=0

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Substitute the value of x in equation 1

2*1+1=0

2=1

So the value of x is 1 and 2

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Many utility companies promote energy conservation by offering discount rates to consumers who keep their energy usage below cer
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Answer:

a. 0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. 0.5283 = 52.83% probability that at least four qualify for the favorable rates

Step-by-step explanation:

For each Puerto Rico resident, there are only two possible outcomes. Either they qualify for discounted rates, or they do not. The probability of a person in the sample qualifying for discounted rates is independent of any other person in the sample. This means that the binomial probability distribution is used 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}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

70% of the island residents of Puerto Rico have reduced their electricity usage sufficiently to qualify for discounted rates.

This means that p = 0.7

Five residential subscribers are randomly selected from San Juan, Puerto Rico

This means that n = 5

a. All five qualify for the favorable rate

This is P(X = 5). So

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

P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681

0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. At least four qualify for the favorable rates

This is

P(X \geq 4) = P(X = 4) + P(X = 5)

So

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

P(X = 4) = C_{5,4}.(0.7)^{4}.(0.3)^{1} = 0.3602

P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681

P(X \geq 4) = P(X = 4) + P(X = 5) = 0.3602 + 0.1681 = 0.5283

0.5283 = 52.83% probability that at least four qualify for the favorable rates

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