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Karolina [17]
2 years ago
13

Penny is going to fly her plane to her sister's house, which is 544.32 miles away. Penny's airplane flies at an average speed of

672 miles per hour. How long does it take Penny to fly to her sister's house?
Mathematics
1 answer:
Sedbober [7]2 years ago
3 0

Answer:

0.81 hour

Step-by-step explanation:

Given data

Distance=  544.32 miles

Speed=  672 miles per hour.

We know that

Speed= distance/time

Substitute

672=  544.32/time

cross multiply

time*672= 544.32

time= 544.32/672

time= 0.81 hour

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Step-by-step explanation:

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12 is 75% of what number?
wolverine [178]
For this question you should say:
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An English professor assigns letter grades on a test according to the following scheme. A: Top 15% of scores B: Scores below the
lisabon 2012 [21]

Answer:

59 to 66

Step-by-step explanation:

Mean test scores = u = 74.2

Standard Deviation = \sigma = 9.6

According to the given data, following is the range of grades:

Grade A: 85% to 100%

Grade B: 55% to 85%

Grade C: 19% to 55%

Grade D: 6% to 19%

Grade F: 0% to 6%

So, the grade D will be given to the students from 6% to 19% scores. We can convert these percentages to numerical limits using the z scores. First we need to to identify the corresponding z scores of these limits.

6% to 19% in decimal form would be 0.06 to 0.19. Corresponding z score for  0.06 is -1.56 and that for 0.19 is -0.88 (From the z table)

The formula for z score is:

z=\frac{x-u}{\sigma}

For z = -1.56, we get:

-1.56=\frac{x-74.2}{9.6}\\\\ x = 59

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-0.88=\frac{x-74.2}{9.6}\\\\ x = 66

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Answer:

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Combine like terms

-x^{2}+4x

6 0
3 years ago
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