HAlg2 2025 Q3 Final Exam v2

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Solve the equation

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The distance (in miles) that a person can see to the horizon can be approximated by
, where n is the elevation (in feet above sea level) of the person. Approximate the elevation of a person who can see 55 miles to the horizon. Round your answer to the nearest foot.

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Simplify the expression and write in radical form

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Solve for x.

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Solve for x (hint: change to log form)
Round to the nearest hundredths.

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Henry deposits $750 into a college savings account that is compounded annually. If Henry lets the money sit in the account without adding or removing any and receives an 8.5% interest rate, how much money will he have total after 5 years?

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Solve for x.

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Kennedy won $3000 from a radio contest. If she puts the money in a bank account that earns 2.9% interest compounded quarterly (4 times per year), how much interest will she earn in 10 years?

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The table shows the lengths of time, in minutes, between aftershocks following an earthquake. What is the interquartile range of the data?

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In a normal distribution, what percent of the data lies within three standard deviations of the mean?

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Which value is the range of the entire box plot?

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Which value is the mean of the box plot?

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When Mrs. Myles gave a test, the scores were normally distributed with a mean of 72 and a standard deviation of 8. This means that 95% of her students scored between which two scores?

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The masses of six children are 34.5 kilograms, 42.6 kilograms, 39.8 kilograms, 40.1 kilograms, 53.4 kilograms, and 33.8 kilograms. Find the mean mass.

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Ervin bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the sample median of Ervin's scores?

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The graph of normally distributed set of data resembles a ____________________.

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IQ scores are normally distributed with a mean of 100 and a standard deviation of 15.Out of a randomly selected 1200 people from the population, about how many of them would have an IQ between 70 and 130?

Solve the equation

The distance (in miles) that a person can see to the horizon can be approximated by , where n is the elevation (in feet above sea level) of the person. Approximate the elevation of a person who can see 55 miles to the horizon. Round your answer to the nearest foot.

Simplify the expression and write in radical form

Solve for x.

Solve for x (hint: change to log form)Round to the nearest hundredths.

Henry deposits $750 into a college savings account that is compounded annually. If Henry lets the money sit in the account without adding or removing any and receives an 8.5% interest rate, how much money will he have total after 5 years?

Solve for x.

Kennedy won $3000 from a radio contest. If she puts the money in a bank account that earns 2.9% interest compounded quarterly (4 times per year), how much interest will she earn in 10 years?

The table shows the lengths of time, in minutes, between aftershocks following an earthquake. What is the interquartile range of the data?

In a normal distribution, what percent of the data lies within three standard deviations of the mean?

Which value is the range of the entire box plot?

Which value is the mean of the box plot?

When Mrs. Myles gave a test, the scores were normally distributed with a mean of 72 and a standard deviation of 8. This means that 95% of her students scored between which two scores?

The masses of six children are 34.5 kilograms, 42.6 kilograms, 39.8 kilograms, 40.1 kilograms, 53.4 kilograms, and 33.8 kilograms. Find the mean mass.

Ervin bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the sample median of Ervin's scores?

The graph of normally distributed set of data resembles a ____________________.

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15.Out of a randomly selected 1200 people from the population, about how many of them would have an IQ between 70 and 130?

The distance (in miles) that a person can see to the horizon can be approximated by
, where n is the elevation (in feet above sea level) of the person. Approximate the elevation of a person who can see 55 miles to the horizon. Round your answer to the nearest foot.

Solve for x (hint: change to log form)
Round to the nearest hundredths.