HPC Sem 2 Final REVIEW P/S 2023

Last updated almost 2 years ago

38 questions

6

1

2

0

1

0

4

3

1

2

1

4

1

Library

HPC Sem 2 Final REVIEW P/S 2023

Last updated almost 2 years ago

38 questions

6

Draggable item		Corresponding Item

1

State the amplitude for the function:

1

State the period for the function:

1

2

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

Draggable item		Corresponding Item

3

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

4

Draggable item		Corresponding Item

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

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

Match the exact value of each function.

Draggable item		Corresponding Item

Not answer for any of the functions.
Not answer for any of the functions.

State the amplitude for the function:

State the period for the function:

State the frequency for the function:

1 cycle per 4𝜋

2 cycles per 2𝜋

1 cycle per 𝜋

2 cycles per 𝜋

State the phase shift for the function:

right 𝜋/4

right 𝜋

left 𝜋/4

left 𝜋

State the vertical shift for the function:

up 𝜋 units

up 1 units

down 1 units

down 𝜋 units

Solve for x with x ∈ [0, 2𝜋)

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.

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.

Draggable item		Corresponding Item
		2 Triangles Exist
		No Triangle Exists
		1 Triangle Exists
		1 Triangle Exists

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.

Draggable item		Corresponding Item



		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.

True

False

The following series is convergent.

True

False

The following series is convergent.

True

False

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

1/4

1/2

3/8

2/3

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.

0.08

0.45

0.13

0.38

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.

0.08

0.13

0.38

0.45

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.

True

False

Match the exact value of each function.

Not answer for any of the functions.

Not answer for any of the functions.

State the frequency for the function:

1 cycle per 4𝜋

2 cycles per 2𝜋

1 cycle per 𝜋

2 cycles per 𝜋

State the phase shift for the function:

right 𝜋/4

right 𝜋

left 𝜋/4

left 𝜋

State the vertical shift for the function:

up 𝜋 units

up 1 units

down 1 units

down 𝜋 units

Solve for x with x ∈ [0, 2𝜋)

0

Solve for x with x ∈ [0, 2𝜋)

0

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.

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

2 Triangles Exist

No Triangle Exists

1 Triangle Exists

1 Triangle Exists

Given:

Determine the following measures, if possible:

Note: Round to the nearest tenth of a degree.

What is the 8th term of the following sequence: 

1,000

10,000,000

10,000

100,000

1,000,000

What is the 15th term of the following sequence: 

158

136

92

147

103

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

Nonexistent

What is the sum for the expression: 

13

None of these are correct.

35

19

4

The following series is convergent.

True

False

The following series is convergent.

True

False

The following series is convergent.

True

False

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

1/4

1/2

3/8

2/3

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.

0.08

0.45

0.13

0.38

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.

0.08

0.13

0.38

0.45

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.

True

False

HPC Sem 2 Final REVIEW P/S 2023

HPC Sem 2 Final REVIEW P/S 2023

State the amplitude for the function:

State the period for the function:

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.

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:

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.

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.

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:

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.

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.