HPC Sem 2 Final REVIEW P/S 2023

6

Match the exact value of each function.

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.

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.

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.

HPC Sem 2 Final REVIEW P/S 2023

Match the exact value of each function.

State the amplitude for the function:

State the period for the function:

State the frequency for the function:

State the phase shift for the function:

State the vertical shift for the function:

Solve for x with x ∈ [0, 2𝜋)

Solve for x with x ∈ [0, 2𝜋)

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

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

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

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

Given:Find the exact value of:

Given:Find the exact value of:

Given:Find the exact value of:

Find the exact value of:

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

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

Given:Determine the following measures, if possible:Note: Round to the nearest tenth of a degree.

What is the area of a triangle with sides measures: 23, 19, and 12? Round to two decimal places.

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.

Simplify:

What is the 8th term of the following sequence:

What is the 15th term of the following sequence:

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

What is the sum for the expression:

Find the 12th partial sum of the following sequence:

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

The following series is convergent.

The following series is convergent.

The following series is convergent.

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

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.

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.

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, 400Create a stemplot of the data and describe the shape of the distribution.

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, 400Calculate the mean.

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, 400Calculate the five-number summary and IQR.

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, 400True or False. The 135 second song is an outlier.

Match the exact value of each function.

State the amplitude for the function:

State the period for the function:

State the frequency for the function:

State the phase shift for the function:

State the vertical shift for the function:

Solve for x with x ∈ [0, 2𝜋)

Solve for x with x ∈ [0, 2𝜋)

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

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

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

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

Given:Find the exact value of:

Given:Find the exact value of:

Given:Find the exact value of:

Find the exact value of:

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

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

Given:Determine the following measures, if possible:Note: Round to the nearest tenth of a degree.

What is the area of a triangle with sides measures: 23, 19, and 12? Round to two decimal places.

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.

Simplify:

What is the 8th term of the following sequence:

What is the 15th term of the following sequence:

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

What is the sum for the expression:

Find the 12th partial sum of the following sequence:

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

The following series is convergent.

The following series is convergent.

The following series is convergent.

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

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.

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.

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, 400Create a stemplot of the data and describe the shape of the distribution.

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, 400Calculate the mean.

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, 400Calculate the five-number summary and IQR.

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, 400True or False. The 135 second song is an outlier.

Given:
Find the exact value of:

Given:
Find the exact value of:

Given:
Find the exact value of:

Given:

Determine the following measures, if possible:

Note: Round to the nearest tenth of a degree.

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.

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

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.

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.

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.

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.

Given:
Find the exact value of:

Given:
Find the exact value of:

Given:
Find the exact value of:

Given:

Determine the following measures, if possible:

Note: Round to the nearest tenth of a degree.

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.

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

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.

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.

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.

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.