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2 years ago

Write a real-world

Mathematics

1 answer:

ArbitrLikvidat [17]2 years ago

4 0

Answer:

Problem: Jamie was driving for 24 miles in the first hour and 36 miles is the second hour. But, she stopped at a gas station 1/4 of the total drive. Find how far the gas station is from her start.

Answer:

24 + 36 = 50

50 * 1/4 = 50/4

50/4 = 12.5

Explanation: The gas station is 12.5 miles from her start to a 50 mile journey. The gas station was 1/4 of the total drive which was 50 miles. 1/4 of 50 is 12.5

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Evaluate the function f\left(x\right)=5x+2\mid11-5x\mid-4f(x)=5x+2∣11−5x∣−4 for x = -5.

Anestetic [448]

Answer:

$f\left(5\right) = 43$

Step-by-step explanation:

Given

$f\left(x\right)=5x+2\mid11-5x\mid-4$

Required

Solve for x = -5

This implies that we substitute -5 for x in $f\left(x\right)=5x+2\mid11-5x\mid-4$

$f\left(5\right)=5(-5)+2\mid11-5(-5)\mid-4$

Open all brackets

$f\left(5\right) = -25+2\mid11+25\mid-4$

$f\left(5\right) = -25+2\mid36\mid-4$

Absolute value of 36 is 36; Wo, we have:

$f\left(5\right) = -25+2*36-4$

$f\left(5\right) = -25+72-4$

$f\left(5\right) = 43$

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In a triangle what is always opposite the angle with the greatest measure

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The longest side

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The SAT mathematics scores in the state of Florida for this year are approximately normally distributed with a mean of 500 and a

Greeley [361]

The correct answer is 47.5%, or 0.475.

Explanation:
The empirical rule states that in any normal distribution:

68% of data will fall within 1 standard deviation of the mean;
95% of data will fall within 2 standard deviations of the mean; and
99.7% of data will fall within 3 standard deviations of the mean.

The mean is 500 and the standard deviation is 100. This means that 700 is 2 standard deviations away from the mean:

(700-500)/100=200/100=2.

We know that 95% of data will fall within 2 standard deviations from the mean. However, included in the 95% is data less than the mean and greater than the mean. Since we are only concerned with the scores from 500 to 700, we only want the half that is greater than the mean:

95/2 = 47.5%, or 0.475.

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