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asambeis [7]
3 years ago
5

On your math quiz, you earn 5 points for each question that you answer correctly. In the equation below, x represents the number

of questions that you answer correctly on your math quiz, and y represents the total number of points that you score on your quiz. The relationship between these two variables can be expressed by the following equation:
y = 5x

What is the dependent and independent variable ?
Mathematics
1 answer:
labwork [276]3 years ago
3 0

Answer:

x-independent

y-dependent

Step-by-step explanation:

Dependent variable: y because you get the points by doing the quiz.

Independent variable: x because you don’t know how many questions you answered correctly.

Total points you score: Unknown until you know how many you got right also the same as y.

Number of questions you answer correctly: Unknown until you get your paper back, also the same as x.


Read more on Brainly.com - brainly.com/question/9741421#readmore

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Answer:

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

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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}

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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

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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

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b. At least four qualify for the favorable rates

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

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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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