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kogti [31]
3 years ago
6

A teacher is making a history test composed of the same number of multiple-choice questions as short-answer questions. She estim

ates it will take students an average of 2 minutes to complete each multiple-choice question and an average of 3.5 minutes to complete each short-answer question. Write an inequality to determine how many questions, n, the teacher can include if the test must take students less than 45 minutes to complete.
Mathematics
1 answer:
STALIN [3.7K]3 years ago
5 0

Answer:

The inequality is 5.5n \leq 45

Step-by-step explanation:

Total time:

The total time to complete the test is the sum of the number of multiple-choice questions multiplied by the time it takes to solve each and the number of short-answer questions multiply by the time it takes to solve each.

In this question:

Same number(n) of both.

Multiple-choice takes 2 minutes, short-answer takes 3.5 minutes. The total time is given by:

T = 2n + 3.5n = 5.5n

Write an inequality to determine how many questions, n, the teacher can include if the test must take students less than 45 minutes to complete.?

This means that:

T \leq 45

So

5.5n \leq 45

The inequality is 5.5n \leq 45

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Answer:

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Step-by-step explanation:

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If you draw a card with a value of three or less from a standard deck of cards, I will pay you $43. If not, you pay me $11. (Ace
valina [46]

If W is a random variable representing your winnings from playing the game, then it has support

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P(W=w)=\begin{cases}\frac{12}{52}=\frac3{13}&\text{for }w=43\\1-\frac{12}{52}=\frac{10}{13}&\text{for }w=-11\\0&\text{otherwise}\end{cases}

You can expect to win

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3 0
3 years ago
Round of 1,546 to the<br> nearest thousands
EleoNora [17]

Answer:

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Hope this helps :)

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4 0
1 year ago
Please help! I know its either B or D but im not sure how to tell
DENIUS [597]

Answer:

D.

Step-by-step explanation:

To find the equation of g(x), we can substitute the point into each of the equations.

A. g(x) = (1/4x)^2

1 = (1/4 * 2)^2

1 = (1/2)^2

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This statement is false, so this is not the equation.

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This statement is false, so this is not the equation.

D. g(x) = (1/2x)^2.

1 = (1/2 * 2)^2

1 = 1^2

1 = 1

This statement is true, so this is your answer.

Hope this helps!

6 0
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