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Laabri

Advanced Algebra Q3 Final Exam 2024

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1.

Solve the equation

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2.

The distance (in miles) that a person can see to the horizon can be approximated by

, where

is the elevation (in feet above sea level) of the person. Approximate the elevation of a person who can see 101 miles to the horizon. Round your answer to the nearest foot.

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3.

The function g(x) is a translation 2 units right and 5 units up of

Which of the following represents g(x)?

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4.

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5.

Simplify the expression and write in radical form

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6.

Solve for x.

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7.

Solve for x (hint: change to log form), write the whole decimal in your answer

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8.

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?

A=P(1+r)t

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9.

Solve for x.

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10.

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?

A=P(1+r/n)nt

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11.

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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12.

Jess has collected a set of data and calculated the range to be 18. She is then told to add the following numbers to the set: {23, 26, 44, 45}

The new range of her data CANNOT BE

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13.

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

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14.

Which value is the range of the entire box plot?

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15.

Which value is the mean of the box plot?

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16.

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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17.

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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18.

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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19.

A normally distributed set of data's graph resembles:

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20.

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?