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HPreCalc Sem 2 Final Exam P/S 2023

Last updated over 1 year ago
30 questions
1

Evaluate

1

Evaluate

1

State the amplitude for the function:

1

State the period for the function:

1

State the frequency for the function:

1

State the phase shift for the function:

1

State the vertical shift for the function:

2

Solve for x with x ∈ [0, 2𝜋)

1

Solve for x for all real solutions. Let k = the set of all integers.

2

Prove the identity by verifying that both sides are equivalent. Show all steps for full credit.

1

Given:
Find the exact value of:

1

Given:
Find the exact value of:

2

Find the exact value of:

2

Simplify down one expression or value. Show all steps for full credit.

3

Using the Law of Sines, determine how many solutions exist for the given information.

Draggable itemCorresponding Item
2 Triangles Exist
No Triangle Exists
1 Triangle Exists
2

Given:

Determine the following measures, if possible:

Note: Round to the nearest tenth of a degree.

1

What is the area of a triangle with sides measures: 24, 52, and 39?

3

Expand the binomial (5x - 3y)4 .
Note: For grading purposes, write your answer as a simplified polynomial expression with x decreasing in power and y increasing in power.

1

Simplify:

1

What is the 12th term of the following sequence:

3

Match limit to the correct value or state the limit is nonexistent.

Draggable itemCorresponding Item
1

What is the sum for the expression:

1

Express the finite series using sigma notation.
Note: use k as the index of the summation.

1

The following series is divergent.

1

A fair coin is tossed three times in succession. What is the probability that exactly one of the coins shows heads?

1

Horse Racing. If the track is wet, Star Light has a 70% chance of winning the race. If the track is dry, she only has a 40% chance of winning. Weather forecasts predict an 80% chance that the track will be wet. Find the probability that Star Light wins regardless of the weather.

5

Beatles Songs. The lengths (in seconds) of 17 randomly selected Beatles songs are as follows:
143, 120, 120, 139, 124, 144, 131, 132, 148, 163, 140, 177, 136, 124, 179, 131, 180, 137, 156, 202, 191, 197, 230, 190
Create a stemplot of the data and describe the shape of the distribution.

3

Beatles Songs. The lengths (in seconds) of 24 randomly selected Beatles songs are as follows:
143, 120, 120, 139, 124, 144, 131, 132, 148, 163, 140, 177, 136, 124, 179, 131, 180, 137, 156, 202, 191, 197, 230, 190
Calculate the five-number summary and IQR.

1

Beatles Songs. The lengths (in seconds) of 24 randomly selected Beatles songs are as follows:
143, 120, 120, 139, 124, 144, 131, 132, 148, 163, 140, 177, 136, 124, 179, 131, 180, 137, 156, 202, 191, 197, 230, 190
Calculate the mean.

1

Beatles Songs. The lengths (in seconds) of 24 randomly selected Beatles songs are as follows:
143, 120, 120, 139, 124, 144, 131, 132, 148, 163, 140, 177, 136, 124, 179, 131, 180, 137, 156, 202, 191, 197, 230, 190
True or False. The 230 second song is an outlier.