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Algebra 2 Semester 2 FInal Review #5

Total questions: 50

Worksheet time: 4hrs 39mins

Name
Class
Date
1.

What is the standard deviation for the data given:

{12, 13, 29, 18, 61, 35, 21}

a)

293.67

b)

15.87

c)

17.14

d)

41.98

2.

Jessica has five grades from assessments and quizzes. They are all weighted equally. If her grades are 50, 70, 88, 70, and 88, what is her current average grade?

a)

71

b)

72

c)

73

d)

74

3.

What is the interquartile range?

a)

6

b)

4

c)

2

d)

8

4.

Which restaurant has a higher median wait time?

a)

Lucy's Steakhouse

b)

Gary's Grill

c)

They are the same

d)

Impossible to tell

5.
What percentage of the data is between 90 and 140?
a)
25 %
b)
50%
c)
75%
d)
100%
6.

What type of correlation does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

7.
The image represents which of the following?
a)
intersection, "and"
b)
intersection, "or"
c)
union, "and"
d)
union, "or"
8.
The image represents which of the following?
a)
intersection, "and"
b)
union, "or"
c)
intersection, "or"
d)
union, "and"
9.
What statement does the shaded region represent
a)
A or B
b)
Not A
c)
A and B
d)
Not B
10.
A fruit basket contains:
9 apples, 3 bananas, 7 oranges, 5 pears, and 1 grapefruit. Kyle randomly chooses a fruit, does not replace it, then chooses another. What is the probably that he chose two pears? 
a)
9/49
b)
4/125
c)
1/10
d)
1/30
11.
You roll 2 number cubes. What is the probability that you roll a sum of 9?
a)
1/9
b)
2/9
c)
1/3
d)
8/36
12.
The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 12 and 15 days?
a)
68%
b)
34%
c)
16%
d)
2.5%
13.
Given the probability model in the table below, what is the expected value of the random variable?
  X        50          20        5
P(X)     0.1         0.3      0.6
a)
14
b)
4.67
c)
5
d)
7.5
14.

Eva flips a coin. If she gets heads, she wins $4. If she gets tails, she loses $3. What is her expected value of a coin flip?

a)

$1

b)

$0.50

c)

-$0.50

d)

$0

15.

The ages of the population of people living in Meru area in Ipoh are Normally distributed with mean 43 and standard deviation 14


The town has a population of 5,000.

How many would you expect to be aged between 22 and 57?


You can use this Standard Normal Distribution curve:

a)

1750

b)

3860

c)

3870

d)

4330

16.

Shape?

a)

Skewed right

b)

Skewed left

c)

Symmetric

d)

Normal

17.

What is the P( not purple) on this spinner?

a)

2/5

b)

1/5

c)

4/5

d)

3/5

18.
What is the probability that the person picked will be a boy given they speak german? 
a)
.7273
b)
.4
c)
.16
d)
.22
19.
Mary is a good student. The probability that she studies and passes her test is 3/5. If the probability that she studies is 8/9. What is the probability that she passes given that she studies? 
a)
27/40
b)
1.48
c)
.008
d)
.0593
20.
How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?
a)
15
b)
40
c)
80
d)
10
21.
Permutation, Combination or Neither?
Picking a President, Vice-President, and Secretary from a group of 12.
a)
Permutation
b)
Combination
22.
Permutation, combination, or neither?
There are 45 applicants for three Computer Programmer job positions.
a)
combination
b)
permutation
c)
neither
23.

-10y-6 = -10y-6

a)

No Solution

b)

One Solution

c)

Infinite Solutions

24.

9y+8=9y-8

a)

No Solution

b)

One Solution

c)

Infinite Solution

25.
What is the value of 5!
a)
25
b)
15
c)
120
d)
720
26.
7P2
a)
0
b)
7
c)
42
d)
210
27.

 6P0_6P_0  

a)

1

b)

6

c)

720

d)

0

28.

How many distinct permutations can be formed using the letters of the word TENNESSEE?

a)

3780

b)

362,880

c)

9

d)

I can't think of another way you could miss this problem so this isn't the correct answer.

29.
You flip a nickel three times.
Find the probability that all flips will land on tails.
a)
1/2
b)
1/4
c)
1/6
d)
1/8
30.

What is the formula for a Geometric Sequence?

a)
b)
c)
d)
31.

What is the formula for an Arithmetic Sequence?

a)
b)
c)
d)
32.

What is the formula for Exponential Decay?

a)
b)
c)
d)
33.

What is the Point-Slope formula?

a)

ax + by = c

b)

y = mx + b

c)
d)
34.
Which of the following shows how to determine P(shaded number or number less than five)?
a)
4/8 + 4/8 - 2/8
b)
4/9 + 2/8 - 4/8
c)
4/8 + 6/8 + 2/8
d)
2/8 + 4/8 - 4/8
35.
Mrs. Cole has to choose two pieces of fruit for her lunch.  If she randomly takes two pieces of fruit from a bowl of 8 oranges and 8 apples, what is the probability she will choose two apples?  (Mrs. Cole does not put back the first piece of fruit before she takes the second piece of fruit)
P(apple, apple)
a)
1/4
b)
7/30
c)
1/32
d)
1/64
36.
In a box there are 3 red pens, 2 green pens, and 1 blue pen. What is the probability of picking a red pen, not replacing it, and then picking a blue pen?
a)
1/2
b)
4/11
c)
1/10
d)
2/3
37.

Which type of conic section is this equation?

a)

circle

b)

ellipse

c)

hyperbola

d)

parabola

38.

Which type of conic section is this equation?

a)

circle

b)

ellipse

c)

hyperbola

d)

parabola

39.

Which type of conic section is this equation?

a)

circle

b)

ellipse

c)

hyperbola

d)

parabola

40.

Which type of conic section is this equation?

a)

circle

b)

ellipse

c)

hyperbola

d)

parabola

41.

Which is the center of the circle with the equation

(x - 3)2 + (y + 5)2 = 16

a)

(3, 5)

b)

(-3, 5)

c)

(5, -3)

d)

(3, -5)

42.

Which is the radius of the circle with equation

(x - 2)2 + (y + 4)2 = 9

a)

81

b)

3

c)

9

d)

4.5

43.
What is the equation of the circle?
a)
(x+1)2 + (y +1)2 = 3
b)
(x+1)2 + (y -1)2 = 3
c)
(x+1)2 + (y +1)2 = 9
d)
(x-1)2 + (y -1)2 = 9
44.
If the focus of a parabola is (0, –3) and its directrix is y = 3, then its equation is
a)
x2 = –12y
b)
x2 = 12y
c)
y2= 12 x
d)
y2= -12 x
45.
What is the directrix of the parabola
(x - 4)2 = 8(y + 3)?
a)
y = - 3
b)
x= 5
c)
y= - 5
d)
y= 2
46.
Write the standard form of the following equation:
x2 - 4y2 + 6x - 8y = 11
a)
A
b)
B
c)
C
d)
D
47.
Determine the sum of the series written in Sigma Notation. 
a)
5400
b)
2692
c)
2700
d)
2704
48.
∑ is
a)
a funky looking "E"
b)
theta
c)
pi
d)
sigma
49.

The 6th partial sum of the series 2 + 6 + 10 + 14 + ... in sigma notation is

a)
b)
c)
d)
50.

Find the sum:

a)

2/3

b)

1/3

c)

3/4

d)

1/4

e)

Infinity

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