Answers Common Core Algebra II - MA3111 B-ICExpected Value

Expected Value — Cumulative exam Answers

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A chemist has 500 mL of a 30% acid solution. She adds x milliliters of a 10% acid solution. Which statement is true about the graph of the function that represents the concentration of the final solution?

The horizontal asymptote y = 30 means that the final concentration will always be less than 30%.

The horizontal asymptote y = 10 means that the final concentration will always be greater than 10%.

The vertical asymptote x = 500 means that the volume of the solution will always be greater than 500 mL.

The vertical asymptote x = 0 means that the volume of the solution will always be greater than 0 mL.

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Which of the following is the graph of ?

On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = negative 1.

On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = 1.

On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2 and starts at y = 1.

On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2 and starts at y = negative 1.

A basketball player’s free-throw percentage is the ratio of the number of successful shots made to the number of shots attempted. A basketball player has made 13 of the first 20 free throws she has attempted this season. Which rational expression can be used to find the free throw percentage for the season if she successfully makes her next x free-throw attempts?

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Derek Jeter challenges Albert Pujols to a batting battle. Each will earn 1 point for a hit other than a home run and 4 points for a home run in each round. Which player should you back given the statistics in the table below? Note that home runs are included as hits in the table.Data for Two BattersBatterAt BatsHitsHome RunsJeter4881569Pujols44812526

E(Jeter) = 0.38 and E(Pujols) = 0.45, so back Pujols.

E(Jeter) = 0.39 and E(Pujols) = 0.51, so back Pujols.

E(Jeter) = 0.34 and E(Pujols) = 0.34, so it doesn’t matter who you back.

E(Jeter) = 1.22 and E(Pujols) = 0.94, so back Jeter.

Which is the graph of reflected across the x-axis, translated 3 units left, 4 units up, and dilated by a factor of 4?

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Determine the equations of the vertical and horizontal asymptotes, if any, for .

What are the solutions to

x = negative 2 and x = negative 4

x = negative 1 and x = 8

x = 1 and x = negative 8

x = 2 and x = 4

Which function represents the following graph?

y = StartRoot x minus 3 EndRoot + 3

y = StartRoot x + 3 EndRoot + 3

y = RootIndex 3 StartRoot x minus 3 EndRoot + 3

y = RootIndex 3 StartRoot x + 3 EndRoot + 3

What is the range of the function f(x) = –2(6x) + 3?

(negative infinity, negative 2 Right-bracket

(negative infinity, 3)

Left-bracket negative 2, infinity)

Left-bracket 3, infinity)

A scientist writes the equation to model the growth of a certain bacteria in a petri dish, where N represents the number of bacteria after h hours. After approximately how many hours will 450 bacteria be present? Round your answer to the nearest whole number.

1 hour

6 hours

13 hours

15 hours

Riley makes a mistake in step 2 while doing her homework. What was her mistake? Step 1: Step 2: Step 3: Step 4:

She added the two fractions incorrectly.

She used the wrong common denominator.

She did not distribute the negative correctly.

She did not multiply the first fraction by a factor.

What is the following product? Assume

6 y squared StartRoot 10 EndRoot + 12 StartRoot 5 y EndRoot

6 StartRoot 10 EndRoot + 12 StartRoot 5 y EndRoot

6 y squared StartRoot 10 EndRoot + 4 StartRoot 5 y EndRoot

3 y squared StartRoot 10 EndRoot + 12 StartRoot 5 y EndRoot

What is the solution of ?

x = –10

x = 3

x = –10 or x = 3

no solution

Two different cars each depreciate to 60% of their respective original values. The first car depreciates at an annual rate of 10%. The second car depreciates at an annual rate of 15%. What is the approximate difference in the ages of the two cars?

1.7 years

2.0 years

3.1 years

5.0 years

Graph the function y=x3+3x2-1. Based on the graph, what is the least possible x-value if y=0? Round your answer to the nearest hundredth, if necessary.

-2.88

-2.00

-0.65

-0.53

Which statement best describes and the parent function ?

The domains of g(x) and f(x) are the same, but their ranges are not the same.

The ranges of g(x) and f(x) are the same, but their domains are not the same.

The ranges of g(x) and f(x) are the same, and their domains are also the same.

The domains of g(x) and f(x) are the not the same, and their ranges are also not the same.

The graph shows a vertical translation of y = .

{y|y < 0}

{y|y ≥ 0}

{y|y is a natural number}

{y|y is a real number}

Identify the equation that translates five units down.

y = l n (x minus 5)

y = l n (x) + 5

y = l n (x + 5)

y = l n (x) minus 5

Which expression is equivalent to ?

StartFraction x Superscript one-half baseline Over y z squared EndFraction

StartFraction x Superscript one-half baseline Over y Superscript one-fourth Baseline z squared EndFraction

StartFraction y Superscript one-half Baseline Over x z squared EndFraction

StartFraction x z squared Over y Superscript one-half EndFraction

The formula gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side of a cube with a surface area of 480 square meters than a cube with the surface area of 270 square meters?

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Expected Value — Cumulative exam Answers

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