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Molodets [167]
3 years ago
5

Steve gets 4 points for every correct answer and loses 1 point for every wrong answer. If he answered 30 questions and scored 20

points, write a system of equations.
Mathematics
1 answer:
UNO [17]3 years ago
3 0

Given:

Steve gets 4 points for every correct answer and loses 1 point for every wrong answer.

Total question answered by Steve =  30

Total score = 20 points

To find:

The system of equations for the given problem.

Solution:

Let x be the number of correct answers and y be the number of wrong answers.

Total question answered by Steve =  30

x+y=30       ...(i)

Steve gets 4 points for every correct answer and loses 1 point for every wrong answer.

Score for 1 correct answer = 4

Score for x correct answer = 4x

Score for 1 wrong answer = -1

Score for y correct answer = -y

Total score = 20 points

4x-y=20        ...(ii)

The system of equations contains (i) and (ii).

Therefore, the system of equations have two equations x+y=30 and 4x-y=20.

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Step-by-step explanation:

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For a 4-unit class like Statistics, students should spend average of 12 hours studying for the class. A survey was done on 24 st
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Answer:

a) 68% of the students spend between 10.2 hours and 15.8 hours on Statistics each week.

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c) 99.7% of the students spend between 4.6 hours and 21.4 hours on Statistics each week.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

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In this problem, we have that:

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Standard deviation = 2.8 hours.

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Within 1 standard deviation of the mean.

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b) 95% of the students spend between hours and hours on Statistics each week.

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13 + 2*2.8 = 18.6 hours

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c) 99.7% of the students spend between hours and hours on Statistics each week.

Within 3 standard deviations of the mean

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13 + 3*2.8 = 21.4 hours

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… = sin²(<em>θ</em>) tan²(<em>θ</em>)

-- again, by definition of tan(<em>θ</em>) --

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