HPreCalc Sem 2 Final Exam P/S 2023

Last updated almost 2 years ago

30 questions

1

2

1

2

1

2

3

2

1

3

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3

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5

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Library

HPreCalc Sem 2 Final Exam P/S 2023

Last updated almost 2 years ago

30 questions

1

Evaluate

1

Evaluate

1

State the amplitude for the function:

1

State the period for the function:

1

State the vertical shift for the function:

2

1

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

Draggable item		Corresponding Item

2

1

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

3

Draggable item		Corresponding Item

1

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

1

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

Evaluate

State the amplitude for the function:

State the period for the function:

State the frequency for the function:

1 cycle per 2𝜋/3

1 cycle per 3𝜋

2 cycle per 3𝜋

1 cycle per 6𝜋

State the phase shift for the function:

left 𝜋

right 𝜋

left 3𝜋

right 3𝜋

State the vertical shift for the function:

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

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: 24, 52, and 39?

57.5

58.4

442.7

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.

Simplify:

What is the 12th term of the following sequence:

404,250

131,072

524,288

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

Draggable item		Corresponding Item

What is the sum for the expression:

64

48

97

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

The following series is divergent.

True

False

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

3/8

2/3

1/8

1/3

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.

0.64

0.28

0.70

0.55

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.

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.

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.

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.

True

False

State the frequency for the function:

1 cycle per 2𝜋/3

1 cycle per 3𝜋

2 cycle per 3𝜋

1 cycle per 6𝜋

State the phase shift for the function:

left 𝜋

right 𝜋

left 3𝜋

right 3𝜋

Solve for x with x ∈ [0, 2𝜋)

0

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

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: 24, 52, and 39?  

57.5

58.4

442.7

What is the 12th term of the following sequence: 

404,250

131,072

524,288

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

What is the sum for the expression: 

64

48

97

The following series is divergent.

True

False

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

3/8

2/3

1/8

1/3

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.

0.64

0.28

0.70

0.55

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.

True

False

HPreCalc Sem 2 Final Exam P/S 2023

HPreCalc Sem 2 Final Exam P/S 2023

Evaluate

Evaluate

State the amplitude for the function:

State the period for the function:

State the vertical shift for the function:

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:

Find the exact value of:

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

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.

Simplify:

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

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, 190Create a stemplot of the data and describe the shape of the distribution.

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, 190Calculate the five-number summary and IQR.

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, 190Calculate the mean.

Evaluate

Evaluate

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 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:

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: 24, 52, and 39?

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.

Simplify:

What is the 12th term of the following sequence:

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

What is the sum for the expression:

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

The following series is divergent.

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

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.

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, 190Create a stemplot of the data and describe the shape of the distribution.

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, 190Calculate the five-number summary and IQR.

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, 190Calculate the mean.

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, 190True or False. The 230 second song is an outlier.

Given:
Find the exact value of:

Given:
Find the exact value of:

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.

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

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.

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.

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.

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 (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.

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

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.

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.

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.

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.