Answers CA-Common Core Algebra II BCumulative Exam

Cumulative Exam — Cumulative exam Answers

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Julia is offered a job selling advertising for two different companies. Company A offers a base salary of $30,000 per year plus a year-end bonus equal to 3% of her total sales. Company B offers a base salary of $25,000 per year plus a year-end bonus equal to 5% of her total sales. Which statement best describes the two offers?

Company A pays better when total sales are less than $37,500, but company B pays better when total sales exceed $37,500.

Company A pays better when total sales are less than $250,000, but company B pays better when total sales exceed $250,000.

Company B pays better when total sales are less than $37,500, but company A pays better when total sales exceed $37,500.

Company B pays better when total sales are less than $250,000, but company A pays better when total sales exceed $250,000.

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Which equation could be used to calculate the sum of the geometric series?

S 5 = StartFraction one-third (1 minus (two-thirds) Superscript 5 Baseline) Over (1 minus two-thirds) EndFraction

S 5 = StartFraction two-thirds (1 minus (one-third) Superscript 5 Baseline) Over (1 minus one-third) EndFraction

S = StartFraction one-third Over (1 minus two-thirds) EndFraction

S = StartFraction two-thirds Over (1 minus one-third) EndFraction

Which transformations are needed to change the parent sine function to ?

vertical stretch of , horizontal stretch to a period of 2p, phase shift of units to the left

vertical compression of , horizontal compression to a period of , phase shift of units to the left

vertical stretch of 4, horizontal stretch to a period of 8p, phase shift of units to the right

vertical compression of 4, horizontal compression to a period of , phase shift of units to the right

In the diagram below, = . What is the value of m?

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

StartFraction StartRoot 3 EndRoot Over 2 EndFraction

StartRoot 3 EndRoot

2 StartRoot 3 EndRoot

If , what is the value of c?

The depth of the water, d, at the end of a pier changes periodically as a function of time, t, in hours as shown in the graph below. According to the model, the last low tide occurred at 5:00 a.m. When will the next low tide occur? Let t = 0 be 12:00 a.m.

3:00 a.m.

5:00 a.m.

3:00 p.m.

5:00 p.m.

The histogram below shows the number of properties in a town that sold within certain time periods. Why might the graph be considered misleading?

The scales on the x- and y-axes are unequal.

The interval on the x-axis is too large for the data set.

The scale on the y-axis misrepresents the difference in the heights of the bars.

The interval on the y-axis is too large for the data set.

A simple random sample of 50 adults was surveyed, and it was found that the mean amount of time that they spend surfing the Internet per day is 54.2 minutes, with a standard deviation of 14.0 minutes. What is the 99% confidence interval (z-score = 2.58) for the number of minutes that an adult spends surfing the Internet per day?Remember, the margin of error, ME, can be determined using the formula .

49.1 minutes to 59.3 minutes

50.3 minutes to 58.1 minutes

54.2 minutes to 58.1 minutes

54.2 minutes to 59.3 minutes

Which statements accurately compare the functions in the graph? Select two options.

Neither function has a maximum value.

The functions share a y-intercept of –1.

The functions share an x-intercept of 1.

Both functions have a range of all real numbers.

Both functions have a domain of all real numbers.

Which solution finds the value of x in the triangle below?

Secant 60 degrees = StartFraction 8 Over x EndFraction. 2 = StartFraction 8 Over x EndFraction. 2 x = 8. x = 4.

Cosecant 60 degrees = StartFraction 8 Over x EndFraction. StartFraction 2 StartRoot 3 EndRoot Over 3 EndFraction = StartFraction 8 Over x EndFraction. x times 2 StartRoot 3 EndRoot = 24. x = StartFraction 24 Over 2 StartRoot 3 EndRoot EndFraction. x = StartFraction 12 Over StartRoot 3 EndRoot EndFraction times StartFraction StartRoot 3 EndRoot Over StartRoot 3 EndRoot EndFraction. x = StartFraction 12 StartRoot 3 EndRoot Over 3 EndFraction. x = 4 StartRoot 3 EndRoot.

Secant 60 degrees = StartFraction 8 Over x EndFraction. One-half = StartFraction 8 Over x Endfraction. x = 16

Cosecant 60 degrees = StartFraction 8 Over x EndFraction. StartFraction StartRoot 3 EndRoot Over 2 EndFraction = StartFraction 8 Over x EndFraction. x times StartRoot 3 EndRoot = 16. x = StartFraction 16 Over StartRoot 3 EndRoot EndFraction. x = StartFraction 16 Over StartRoot 3 EndRoot EndFraction times StartFraction StartRoot 3 EndRoot Over StartRoot 3 EndRoot EndFraction. x = StartFraction 16 StartRoot 3 EndRoot Over 3 EndFraction.

David is a statistician. He has a sample size of 40 (which he cannot change). What element of his hypothesis test can he adjust to minimize the probability that he incorrectly rejects the null hypothesis?

the mean of the population

the mean of the sample

the standard deviation of the population

the significance level of the test

The tables show linear functions representing the cost for purchasing different amounts of broccoli and cauliflower.

The broccoli function has the greater slope, which shows that the cost per pound of broccoli is less than the cost per pound of cauliflower.

The broccoli function has the greater slope, which shows that the cost per pound of broccoli is greater than the cost per pound of cauliflower.

The cauliflower function has the greater slope, which shows that the cost per pound of cauliflower is less than the cost per pound of broccoli.

The cauliflower function has the greater slope, which shows that the cost per pound of cauliflower is greater than the cost per pound of broccoli.

Which of the following is the graph of the function y = 4csc(x)?

On a coordinate plane, the x axis ranges from negative 2 pi to 2 pi with an interval of pi units and the y axis ranges from negative 12 to 4 with an interval of 4 units. The graph is 2 pi periodic with asymptotes at x equals plus or minus n pi. It touches the lines y equals negative 3 at (pi by 2 comma negative 3) and (negative 3 pi by 2 comma negative 3) and y equals negative 5 at (3 pi by 2 comma negative 5) and (negative pi by 2 comma negative 5).

On a coordinate plane, the x axis ranges from negative 2 pi to 2 pi with an interval of pi units and the y axis ranges from negative 12 to 4 with an interval of 4 units. The graph is 2 pi periodic with asymptotes at x equals plus or minus n pi. It touches the lines y equals 5 at (pi by 2 comma 5) and (negative 3 pi by 2 comma 5) and y equals negative 3 at (3 pi by 2 comma 3) and (negative pi by 2 comma 3).

On a coordinate plane, the x axis ranges from negative pi to 3 pi with an interval of pi units and the y axis ranges from negative 8 to 8 with an interval of 4 units. The graph is 2 pi periodic with asymptotes at x equals plus or minus n pi. It touches the lines y equals 4 at (5 pi by 2 comma 4) and (pi by 2 comma 4) and y equals negative 4 at (3 pi by 2 comma negative 4) and (negative pi by 2 comma negative 4).

On a coordinate plane, the x axis ranges from negative pi to 3 pi with an interval of pi units and the y axis ranges from negative 8 to 8 with an interval of 4 units. The graph is 2 pi periodic with asymptotes at x equals plus or minus n pi. It touches the lines y equals 4 at (9 pi by 5 comma 4) and (pi by 5 comma 4) and y equals negative 4 at (14 pi by 5 comma negative 4) and (negative 4 pi by 5 comma negative 4).

Which of the following accurately lists all of the discontinuities for the function graphed below?

jump discontinuity at x = 0; point discontinuity at x = 8

jump discontinuity at x = 0; point discontinuities at x = –2 and x = 8

jump discontinuities at x = 0 and x = 8; point discontinuity at x = –2

jump discontinuity at x = 0; point discontinuities at x = –2, x = 3 and x = 8

Given that , what is the value of ?

Plus-or-minus StartRoot eight-thirds EndFraction

Plus-or-minus StartRoot eleven-eighths EndFraction

Eleven-eighths

Eight-thirds

Which step is included in the graph of the function ?

mc019-2.jpg

mc019-3.jpg

mc019-4.jpg

mc019-5.jpg

Which graph shows the solution to the equation below?

On a coordinate plane, 2 curves intersect at (1, 1). One curve curves up and to the right from quadrant 3 into quadrant 1. The other curve curves down from quadrant 1 into quadrant 4.

On a coordinate plane, 2 identical curves are shown. One curve starts at y = negative 3, and the other curve starts at y = 1.

On a coordinate plane, a curve and a line are shown.

On a coordinate plane, a curve and a cubic function are shown.

For the graphs below, for which probability distribution is the value of the median greater than the value of the mean?

Negatively skewed

Normal, symmetrical distribution

Positively skewed distribution

None of the above

How long is the arc intersected by a central angle of radians in a circle with a radius of 2 ft? Round your answer to the nearest tenth. Use 3.14 for .