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HPC Sem 2 Final REVIEW P/S 2023

Last updated over 1 year ago
38 questions
6

Match the exact value of each function.

Draggable itemCorresponding Item
Not answer for any of the functions.
Not answer for any of the functions.
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)

2

Solve for x with x ∈ [0, 2𝜋)

2

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

2

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

0

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

0

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:

1

Given:
Find the exact value of:

1

Find the exact value of:

0

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

4

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
1 Triangle Exists
3

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: 23, 19, and 12? Round to two decimal places.

2

Expand the binomial (2x - y2)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 8th term of the following sequence:

1

What is the 15th term of the following sequence:

4

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

Draggable itemCorresponding Item
Nonexistent
1

What is the sum for the expression:

1

Find the 12th partial sum of the following sequence:

1

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

1

The following series is convergent.

1

The following series is convergent.

1

The following series is convergent.

1

A fair coin is tossed three times in succession. What is the probability that two or more of the coins shows tails?

1

Horse Racing. If the track is wet, Star Light has a 50% chance of winning the race. If the track is dry, she has a 70% chance of winning. Weather forecasts predict an 75% chance that the track will be wet. Find the probability that Star Light loses regardless of the weather.

1

Horse Racing. If the track is wet, Star Light has a 50% chance of winning the race. If the track is dry, she has a 70% chance of winning. Weather forecasts predict an 75% chance that the track will be wet. Find the probability that Star Light wins given the track is wet.

1

Aerosmith Songs. The lengths (in seconds) of 24 randomly selected Aerosmith songs are as follows:
266, 267, 183, 297, 193, 212, 135, 207, 281, 203, 229, 225, 245, 268, 241, 276, 276, 400
Create a stemplot of the data and describe the shape of the distribution.

1

Aerosmith Songs. The lengths (in seconds) of 24 randomly selected Aerosmith songs are as follows:
266, 267, 183, 297, 193, 212, 135, 207, 281, 203, 229, 225, 245, 268, 241, 276, 276, 400
Calculate the mean.

1

Aerosmith Songs. The lengths (in seconds) of 24 randomly selected Aerosmith songs are as follows:
266, 267, 183, 297, 193, 212, 135, 207, 281, 203, 229, 225, 245, 268, 241, 276, 276, 400
Calculate the five-number summary and IQR.

1

Aerosmith Songs. The lengths (in seconds) of 24 randomly selected Aerosmith songs are as follows:
266, 267, 183, 297, 193, 212, 135, 207, 281, 203, 229, 225, 245, 268, 241, 276, 276, 400
True or False. The 135 second song is an outlier.