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MATH-AII
Boulton Stats Review [Exam ID:10BSP0] Scan Number:1254
1 Which of these situations involves a combination?A Determining how many different groups of 3 employees can be chosen from 10 employeesB Determining how many different seating charts can be made placing 7 people around a table
C Determining how many different ways 8 runners can be assigned lanes on a track for a preliminary race
D Determining how many different 6-letter passwords can be made using the letters in the word "pencil"
2 The number of permutations of 8 objects taken 3 at a time is —
F 40,320G 6,720H 4,920J 336
3 The heights of a large population of ostriches are normally distributed. Which is
closest to the percentage of these heights that is within 3 standard deviations of the mean?A 0.3%B 5%C 95%D 99.7%
4 A normally distributed data set has a mean of 0 and a standard deviation of 0.5 .
Which is closest to the percent of values between -1 and 1 ?F 34%G 50%H 68%J 95%
5 Assuming k is a constant of variation, which equation represents a situation in which
y varies jointly as a and b ?
A y = k ab
B y = ka b
C y = ab k
D y = kab
6 Ohm’s Law relates to a simple electric circuit and states:
One circuit has a resistance of 8 ohms when the voltage is 48 volts and the current is 6 amperes. What is the resistance of a second circuit that has a voltage of 128 volts and a current of 8 amperes?F 120 ohmsG 64 ohmsH 16 ohmsJ 28 ohms
7 A farmer pumps water from an irrigation well to water his field. The time it takes to
water the field varies inversely with the rate at which the pump operates. It takes 20 hours to water the field when the pumping rate is 600 gallons per minute. If he adjusts the pump so that it pumps at a rate of 400 gallons per minute, how long will it take to water the field?A 40 hoursB 15 hoursC 30 hoursD 12.5 hours
8
Given : Sn = n [ 2a1 + (n - 1)d ]
An outdoor theater has 37 seats in the first row, 40 seats in the second row, and 43 seats in the third row. If this pattern continues, what is the total number of seats in the first 10 rows?
1 2
F 520G 505H 120J 320
9 Which equation represents the statement below?
“a is inversely proportional to b.”A a = k + bB a = kb
C a = b k
D a = k b
10 If y varies jointly with x and z, what is the constant of proportionality when y = 30,
x = 4, and z = 5?
F 3 2
G 21
H 2 3
J 24
11 The amount of work (W ) done when lifting an object varies jointly with the mass of
the object (M ) and the distance the object is lifted (D ). Which equation models this relationship?
A W = k MD
B W = kM D
C W = kMD
D W = kD M
12 If y varies inversely as the square root of x , what is the constant of proportionality if
y = 16 when x = 4 ?F 4G 8H 32J 64
13 The volume of a cone (V ) varies jointly with its height (h ) and the square of its
radius (r ). If k is the constant of proportionality, which of the following equations represents the correct relationship between volume, radius, and height?A V = k (rh )2
B V = kr 2
h
C V = k
r 2h
D V = kr 2h
14 Wind chill factor (W) varies directly with temperature (T) and inversely with the wind
velocity (v). If k is the constant of proportionality, which formula represents this relationship?
F W = kv T
G W = kT v
H W = kTv
J W = kT
v 2
15 Which equation represents a situation in which z varies jointly
as x and y ?A z = kxy
B z = ky x
C z = xk y
D z = x y
16 Which equation represents the statement
“ z varies directly with x and inversely with y ” ?
F z = kx y
G z = k xy
H z = ky x
J z = kxy
17 The time it takes to do a job is inversely proportional to the number of workers. If 8
workers can do a job in 6 days, then 16 workers can do the same job in —A 12 daysB 3 daysC 6 daysD 1.5 days
18 Which equation represents the statement
“r is inversely proportional to s and directly proportional to the cube of t n ?
F
G
H
J
19 This table of ordered pairs contains elements of a function of x.
Which equation could define the function?A y = (x - 2)2 + 7B y = (x - 3)2 + 2C y = -2x + 11D y = -5x + 11
20 Which equation best represents the data in this table?
F
G
H
J
21
Which is most likely the equation of the line of best fit for the data given in the table?A y = 0.45x - 1B y = 0.34x - 0.9C y = 0.50x - 0.6D y = 0.25x - 0.7
22
Which equation best represents the line of best fit for the data in the scatterplot above?F y = xG y =4x -1H y =-x +4J y =-9x +3
23 Bill rode his bike to a store 5 kilometers from his house. The table shows the distance
from the store paired with the number of minutes after leaving his house.
Which equation best models a line of best fit for the data?A y = -0.3x + 4.9B y = -0.2x + 4.5C y = -0.2x + 6.1D y = -0.3x + 6.4
24 Which of the following equations best models the data in this table?
F
G
H
J
25 Jessica paid $23,000 for her car and kept a record of its value.
Assuming the relationship is exponential, which equation best models the curve of best fit for the data?A y = 21,000(1.20)x
B y = 22,300(2.60)x
C y = 23,100(0.85)x
D y = 23,500(0.70)x
26 A scientist obtained a sample that contained 80 grams of radioactive Barium-122
that decays exponentially over time. The amount of Barium-122 that remained in the sample at observed times is shown in the table.
If the radioactive decay continues at the same rate, which is closest to the amount of the sample of Barium-122 remaining at 5 minutes?F 8.3 gramsG 10.0 gramsH 11.7 gramsJ 14.1 grams
27 Madison deposited $1,000 into a savings account that compounds interest
yearly. After her initial deposit, Madison did not withdraw or deposit any money from this account. The table below shows the amount in her savings account over a period of years.
Using the exponential curve of best fit, which is closest to the expected amount in the savings account 30 years after the time Madison deposited the initial $1,000 ?A $2,854B $3,291C $5,743D $16,854
28 The table below shows the value of a certain collectible baseball card over eight
years.
Which exponential equation best represents the data?F y = 0.53(1.01)x
G y = 2.18(6.1)x
H y = 14.8(9.58)x
J y = 2.25(1.59)x
29 Which equation best represents the data in this table?
A y = 2x 2 +1B y = x 2 +1C y = 2x + 1D y = x + 1
30 A college professor was matching raw test scores to averaged scores within a class.
The table shows the match for four students in the class.
Based on a line of best fit for the data, which is the best prediction for the averaged score that matches a raw score of 70 ?F 89G 83H 85J 87