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Laabri

Units 7-8 Review

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Last updated over 4 years ago
31 Nsɛmmisa
Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:
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Formula Sheet

If you don't have a TI calc at home, you may need these:

Linear Regression

Quadratic Regression

Exponential Regression

Formula Sheet

If you don't have a TI calc at home, you may need these:

Linear Regression

Quadratic Regression

Exponential Regression

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1.

Let A be a positive real number. Which is always true as x\rightarrow\infty?

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2.

Find the value of x that satisfies the equation.

2^{x} = 21

Enter your answer as a number rounded to 2 decimal places.

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3.

Find the value of x that satisfies the equation.

21^{x+5} = 2

Enter your answer as a number rounded to 2 decimal places.

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4.

Find the value of x that satisfies the equation.

21-3^{x+5} = 2

Enter your answer as a number rounded to 2 decimal places.

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5.

Find the value of x that satisfies the equation.

21+e^{2x+5} = 42

Enter your answer as a number rounded to 2 decimal places.

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6.

Find the value of x that satisfies the equation.

2\cdot 4^{3x-7}-18 = 42

Enter your answer as a number rounded to 2 decimal places.

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7.
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8.
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9.
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10.

Devin opens a savings account with an initial deposit of 5000. He earns 8% annual interest.

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11.

Write an equation to find the value of the account after t years.

Use "y=..." format, no spaces.

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12.

Write an equation to find the value of the account after t months.

Round your base to five decimal places.

Use "y=..." format, no spaces.

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13.

How much more money would Devin earn if he got 8% interest compounded monthly for 5 years, rather than 8% annually for 5 years?

Enter your answer as a number rounded to two decimal places.

Rodric bought his car for 13000 in 2010. Since 2010, the car's value has depreciated by 10% annually.

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14.

Write an equation to find the value of the car after t years since 2010.

Use "y=..." format, no spaces.

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15.

Write an equation to find the value of the car after t months since 2010.

Round your base to five decimal places.

Use "y=..." format, no spaces.

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16.

Regression is run for a data set, and the r-values are given below.

LinReg: 0.9108

QuadReg: 0.9918

ExpReg: 0.9981

LnReg: 0.9206

Which model best fits the data?

Run QuadReg to create a function for the data below. Round your coefficients to three decimal places.

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Asemmisa {{asɛmmisaAhyɛnsode}}
17.

Predict the value of y when x=15.

Enter your answer as a number rounded to 2 decimal places.

Run ExpReg to create a function for the data below. Round your coefficients to three decimal places.

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18.

Predict the value of y when x=15.

Enter your answer as a number rounded to two decimal places.

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19.

Predict the value of x when y=10.

Enter your answer as a number rounded to two decimal places.

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20.
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21.

100 college students were surveyed about their major and their ACT score - whether they scored higher in math/science than English/reading or vice versa. The results are shown in the table below.

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22.

If a student is randomly selected from the group, what is the probability, as a percent, that they are an engineering major?

Enter your answer as a number rounded to two decimals, no spaces or "%".

1
Asemmisa {{asɛmmisaAhyɛnsode}}
23.

If a student is randomly selected from the group, what is the probability, as a percent, that they are an engineering major or had a high STEM score?

Enter your answer as a number rounded to two decimals, no spaces or "%".

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Asemmisa {{asɛmmisaAhyɛnsode}}
24.

If a student is randomly selected from the group, what is the probability, as a percent, that they are an engineering major and had a high STEM score?

Enter your answer as a number rounded to two decimals, no spaces or "%".

1
Asemmisa {{asɛmmisaAhyɛnsode}}
25.

If a student is randomly selected from the group, what is the probability, as a percent, that they are an engineering major given that they had a high STEM score?

Enter your answer as a number rounded to two decimals, no spaces or "%".

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A furniture store contains lots of pillows. Some are blue, some are not, and some are square, some are round. The numbers of each are represented by letters in the following table.

Probabilities may be expressed by doing arithmetic with the letters. For example, P(square) = #square/total = \frac{A+B}{A+B+C+D}.

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27.

What is P(Round)?

Use the format given in the problem.

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28.

What is P(Round and Blue)?

Use the format given in the problem.

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29.

What is P(Round | Blue)?

Use the format given in the problem.

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30.

What is P(Blue | Square)?

Use the format given in the problem.

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31.

What is P(Blue or Square)?

Use the format given in the problem.

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26.

Are major and ACT strength dependent or independent events?