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Units 7-8 Review

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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

Pitanje 1
1.

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

Pitanje 2
2.

Find the value of x that satisfies the equation.

2^{x} = 21

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

Pitanje 3
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.

Pitanje 4
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.

Pitanje 5
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.

Pitanje 6
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.

Pitanje 7
7.
Pitanje 8
8.
Pitanje 9
9.
Pitanje 10
10.

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

1
Pitanje 11
11.

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

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

1
Pitanje 12
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.

1
Pitanje 13
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.

1
Pitanje 14
14.

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

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

1
Pitanje 15
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.

Pitanje 16
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.

1
Pitanje 17
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.

1
Pitanje 18
18.

Predict the value of y when x=15.

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

1
Pitanje 19
19.

Predict the value of x when y=10.

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

Pitanje 20
20.
Pitanje 21
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.

1
Pitanje 22
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
Pitanje 23
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 "%".

1
Pitanje 24
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
Pitanje 25
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 "%".

1

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}.

1
Pitanje 27
27.

What is P(Round)?

Use the format given in the problem.

1
Pitanje 28
28.

What is P(Round and Blue)?

Use the format given in the problem.

1
Pitanje 29
29.

What is P(Round | Blue)?

Use the format given in the problem.

1
Pitanje 30
30.

What is P(Blue | Square)?

Use the format given in the problem.

1
Pitanje 31
31.

What is P(Blue or Square)?

Use the format given in the problem.

Pitanje 26
26.

Are major and ACT strength dependent or independent events?