Multiple Choice Identify the
choice that best completes the statement or answers the question.
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1.
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Alg2_2-4 State Standard # 1.0 What
is the complete solution to the equation ?
a. | x = 2; x = 3 | c. | x = 2; x = -3 | b. | x = -2; x = 3 | d. | x = -2; x = -3 |
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2.
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Alg2_2-4 State Standard # 1.0 What are the possible values of
x in ?
a. | x=-2.50 or x = -3.5 | c. | 3.5 > x > 2.5 | b. | -3.50< x
< -2.50 | d. | x = 2.50
or x = 3.50 |
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3.
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Alg2_3-5 State Standard #
2.0 For a wedding, Shereda bought serveral dozen roses and several dozen carnations. The roses
cost $15 per dozen, and the carnations cost $8 per dozen. Shereda bought a total of 17 dozen flowers
and paid a total of $192. How many roses did she buy?
a. | 6 dozen | c. | 8 dozen | b. | 7 dozen | d. | 9 dozen |
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4.
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Alg2_9-9 State Standard #
2.0 What is the solution to the system of equations shown
below?
a. | (0,4,4) | c. | no solution | b. | (1,4,) | d. | infinitely many
solutions |
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5.
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Alg2_3-5 State Standard # 2.0 A restaurant manager
bought 20 packages of bagels. Some packages contained 6 bagels each, and the rest contained 12 bagels
each. There were 168 bagels in all. How many packages of 12 bagels did the manager buy?
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6.
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Alg2_3-7 State Standard # 2.0 What system of
inequalities best represents the graph shown below?
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7.
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Alg2_3-7 State Standard # 2.0 Which point lies in the solution set for
the system
a. | (-4, -1) | c. | (0, -3) | b. | (3, 1) | d. | (4, 3) |
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8.
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Alg2_3-7 State Standard # 2.0 Which system of linear inequalities is
represented by this graph?
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9.
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10.
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Alg2_4-3 State
Standard # 3.0 Which polymonial represents the product of
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11.
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12.
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Alg2_4-3 State Standard # 3.0 Which expression
is equivalent to ?
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13.
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Alg2_4-3 State Standard # 3.0 What is the volume of the figure
below?
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14.
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15.
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16.
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17.
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a. | (3x - 7)(4x+2) | c. | 12(x - 7)(x+7) | b. | (4x - 21)(3x+7) | d. | 3(2x - 7)(2x+7) |
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18.
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19.
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Alg2_5-2 State
Standard # 7.0 Which is a simplified form of
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20.
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21.
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Alg2_5-4 State Standard # 7.0 Which product
is equivalent to ?
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22.
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23.
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Alg2_5-4 State Standard # 7.0 What is the
simplest form of ?
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24.
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Alg2_6-8 State
Standard # 5.0 If , which point shows the location of on the complex plane?
a. | point A | c. | point C | b. | point B | d. | point D |
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25.
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Alg2_6-7 State Standard # 5.0 If ,
what is the value of ?
a. | | c. | 1 | b. | | d. | -1 |
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26.
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Alg2_6-8 State Standard # 5.0 Which of the following complex numbers is
represented by the point on the graph below?
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27.
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Alg2_6-7 State
Standard # 6.0 If , then ?
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28.
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Alg2_6-8 State
Standard # 6.0 What is an equivalent form of
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29.
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Alg2_6-8 State Standard # 6.0 What is the
product of the complex numbers and ?
a. | 8 | c. | | b. | 10 | d. | |
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30.
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Alg2_6-8 State Standard # 6.0 If and a
and b are non-zero real numbers, what is ?
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31.
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Alg2_7-2 State Standard # 8.0 What are the
solutions to the equation ?
a. | x=0, x= -2 | c. | x= -1 + i, x= -1 -
i | b. | x=0, x= -2i | d. | |
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32.
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Alg2_7-2 State
Standard # 8.0 What are the solutions to the equation ?
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33.
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Alg2_7-2 State Standard # 8.0 There are two
numbers with the following properties. 1)
The second number is 3 more than the first
number. 2) The product of the two numbers
is 9 more than their sum. Which of the following represents possible values of these two
numbers?
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34.
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Alg2_7-1 State Standard # 8.0 Jenny is solving
the equation by completing the square. What number should
be added to both sides of the equation to the complete the square?
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35.
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Alg2_7-5 State
Standard # 9.0 Which of the following most accurately describes the translation of the
graph to the graph of ?
a. | up 4 and 5 to the right | c. | down 2 and 3 to the
left | b. | down 2 and 2 to the right | d. | up 4 and 2 to the left |
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36.
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Alg2_7-5 State Standard # 9.0 Which of the
following sentences is true about the graphs of and ?
a. | Their vertices are maximums | c. | The graphs have different shapes
with different vertices. | b. | The graphs have the same shape with different
vertices. | d. | One graph has a
vertex that is a maximum, while the other graph has a vertex that is a
minimum. |
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37.
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Alg2_7-6 State
Standard # 10.0 What are the x-intercepts of the graph of ?
a. | 1 and | c. | and | b. | -1 and | d. | and |
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38.
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Alg2_7-5 State
Standard # 10.0 Which is the graph of ?
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39.
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Alg2_7-6 State Standard # 10.0 Which ordered
pair is the vertex of ?
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40.
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hyperbolas State
Standard # 16.0 The graph of is a hyperbola. Which set of equations
represents the asymptotes of the hyperbola's graph?
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41.
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Alg2_7-5 State Standard # 16.0 Which of the following represents a
parabola?
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42.
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Alg2_9-5P2v2 State
Standard # 17.0 What is the standard form of the equation
of the conic given above?
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43.
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Alg2_9-2 State Standard # 17.0 Which statement describes the graph of
the equation ?
a. | a hyperbola with center (-2, 3) and vertices (4, -3) and (-4, 3) | c. | a circle with
center (-2, 3) and radius 8 | b. | a hyperbola with center (-2, 3) and vertices
(2, -3) and (3, -2) | d. | a
circle with center (-2, 3) and radius 4 |
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44.
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Alg2_10-6 State
Standard # 11.1 What is the solution to the equation ?
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45.
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Alg2_10-4 State
Standard # 11.1 If , what is the value of x?
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46.
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Alg2_10-4 State Standard # 11.1 Which equation
is equivalent to
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47.
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Alg2_10-5 State
Standard # 11.2 Which is the first incorrect step in simplifying ?
a. | Step 1 | c. | Step 3 | b. | Step 2 | d. | Each step is
correct |
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48.
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a. | Jeremy’s work | c. | Shanan’s work | b. | Micheal’s work | d. | Brenda’s
work |
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49.
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Alg2_10-5 State Standard # 11.2 A student showed the following steps in
his solution of the equation below, but his answer was not correct. In which
step did he make his first error?
a. | Step 1 | c. | Step 3 | b. | Step 2 | d. | Step 4 |
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50.
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Alg2_10-7HalfLifeGrowthBookFormulas
State Standard # 12.0 A certain radioactive element decays over time according to the equation
, where A = the number of grams present
initially and t = time in years. If 1,000 grams were present initially, how many grams will
remain after 900 years?
a. | 500 grams | c. | 125 grams | b. | 250 grams | d. | 62.5 grams |
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51.
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Alg2_10-7HalfLifeGrowthBookFormulas
State Standard # 12.0 Bacteria in a culture are growing exponentially with time, as shown in the
table below. Bacteria
GrowthWhich of
the following equations expresses the number of bacteria, y, present at any time, t?
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52.
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Alg2_10-3 State Standard # 12.0 If the equation
is graphed, which of the following values of
x would produce a point closest to the x-axis?
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53.
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Alg2_10-3 State Standard # 12.0 Which table below correctly describes
points of the exponential function ?
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54.
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55.
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Alg2_5-2 AND Alg2_10-4 State Standard # 13.0 Jonathan wrote the equation on the board. He needs one clue for problem solving. Which fact provides the
correct information that he needs to solve the equation?
a. | | c. | 4 - 4 = 0 | b. | | d. | 6 - 4 =
2 |
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56.
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Alg2_10-4 State
Standard # 14.0 What is the value of ?
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57.
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Alg2_10-5 State
Standard # 14.0 If and , what is the
approximate value of ?
a. | 0.051 | c. | 0.861 | b. | 0.778 | d. | 1.857 |
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58.
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Alg2_5-9 State
Standard # 15.0 If x is a real number, for what values of x is the
equation true?
a. | all values of x | c. | no values of
x | b. | some values of x | d. | impossible to
determine |
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59.
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Alg2_5-9 State
Standard # 15.0 On a recent test, Jeremy wrote the equation . Which
of the following statements is correct about the equation he wrote?
a. | The equation is always true. | c. | The equation is never
true. | b. | The equation is always true, except when x=4 | d. | The equation is sometimes true when x =
4 |
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60.
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Alg2_10-3 State Standard # 15.0 Given the
equation where and , which statement is valid for real values of y?
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61.
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Alg2_6-1 State Standard # 15.0 If x is a
real number, which best describes the values of for which the inequality
is true?
a. | all | c. | all values of | b. | all | d. | no values of |
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62.
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Alg2_6-1 State Standard # 15.0 Which of the following conclusions is
true about the statement below?
a. | The statement is always true. | c. | The statement is true when x
= 0. | b. | The statement is true when x is negative. | d. | The statement is never
true. |
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63.
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Alg2_15-5 State Standard # 18.0 Abelardo wants
to create several different 7-character screen names. He wants to use arrangements of the first3
letters of his first name (abe), followed by arrangements of 4 digits in 1984, the year of his
birth. How many different screen names can he create in this way?
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64.
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Alg2_15-5 State Standard # 18.0 A train is made
up of a locomotive, 7 different cars, and a caboose. If the locomotive must be first, and the caboose
must be last, how many different ways can the train be ordered?
a. | 5040 | c. | 362,880 | b. | 181,440 | d. | 823,543 |
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65.
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Alg2_15-9 State Standard # 19.0 Teresa and Julia
are among 10 students who have applied for a trip to Washington D.C. Two srudents from the group will
be selected at random for the trip. What is the probability that Teresa amd Julia will be the two
students selected?
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66.
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67.
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Alg2_11-7 State Standard # 20.0 How many terms
does the binomial expansion of contain?
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68.
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Alg2_11-8 State Standard # 20.0 What are the first 4 terms in the
expansion of ?
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69.
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Alg2_11-6 State Standard # 22.0 What is the sum
of the infinite geometric series
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70.
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Alg2_11-2 State Standard # 22.0 What is the th term in the arithmetic series below?
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71.
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Alg2_10-3 State Standard # 24.0 Which expression
represents if and ?
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72.
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Alg2_10-3 State Standard # 24.0 Given that and
, what is ?
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73.
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Alg2_3-8v2 State
Standard # 25.0 If . which is an equivalent form of ?
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74.
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Alg2_PS1-PS2 State
Standard PS # 1.0 A math teacher is randomly distributing 15 rulers with centimeter labels
and 10 rulers without centimeter labels. What is the probability that the first ruler she hands
out will have centimeter labels and the second ruler will not have labels?
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75.
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Alg2_PS1-PS2 State Standard PS # 1.0 On a
certain day the chance of rain is 80% in San Fransico and 30% in Sydney. Assume that the chance of
rain in the two cities is independent. What is the probability that it will not
rain in either city?
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76.
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Alg2_15-9 State Standard PS # 1.0 One bag contains 2 green
marbles and 4 white marbles, and a second bag contains 3 green marbles and 1 white marble. If
Trent randomly draws one marble from each bag, what is the probability that they are both
green?
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77.
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Alg2_PS1-PS2 State
Standard PS # 2.0 A box contains 7 large red marbles, 5 large yellow marbles, 3 small red
marbles, and 5 small yellow marbles. If a marble is drawn at random, what is the probability that it
is yellow, given that it is one of the large marbles?
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78.
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Alg2_15-10 State Standard PS # 2.0 The
probabilities that Jamie will try out for various sports and team positions are shown in the chart
below.
Jamie will definitely try out for
either basketball or baseball, but not both. The probability that Jamie will try out for baseball and
try out for catcher is 42%. What is the probability that Jamie will try out for
basketball?
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79.
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Alg2_15-2Part2 State Standard PS # 7.0 A
small-business owner must hire seasonal workers as the need arises. The following list shows the
number of employees hired monthly for a 5-month period. 4, 13, 5,
6, 9
If the mean of these data is approximately 7, what is the population standard deviation
for these data? (Round the answer to the nearest tenth.)
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80.
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Alg2_15-2Part2 State Standard PS #
7.0 3, 6, 2, 1, 7, 5
James found the mean and the standard
deviation of the set of numbers given above. If he adds 5 to each number, which of the following will
result?
a. | The mean will be multiplied by 5. | c. | The mean will not
change. | b. | The standard deviation will increase by 5. | d. | The standard deviation will not
change. |
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