Statistics
Lucy collects data from a random sample of seventh-graders. Out of 40respondents, 7 attend after-school programs. Of the 200 seventh-graders attending Lucy’s school, how many would be expected to attend after-school programs?
35 seventh-graders
An 8-sided solid is labeled with faces 1, 2, 3, skip, 4, 5, 6, skip. What is the sample space for the number solid, and what is the probability of rolling a 1?
1, 2, 3, 4, 5, 6, skip, skip
12.5%, 0.125, 1/8
Angle 1 and angle 2 are complementary. The measure of angle 1 is 66 degrees. The measure of angle 2 is 4x degrees. Find the value of x.
x = 6
What is the slope of a line with coordinate points
(-8, 2) and (-3, -4)
-6/5
Write the decimal 0.77777777.... as a fraction.
7/9
Maria records random speeds from three different Internet providers in the table below.
Provider Download Speed(megabits per second)
CityNet3.6, 3.7, 3.7, 3.6, 3.9
Able Cable 3.9, 3.9, 4.1, 4.0, 4.1
Tel-N-Net3.9, 3.7, 4.0, 3.6, 3.8
Which company offers the fastest mean downloading speed?
Able Cable
The yearbook club is handing outT-shirts to its members. There are5 blue, 7 green, 9 red, and 4 yellowT-shirts in all. If Jacob is handed a T-shirt, what is the probability that the color is red?
9/25
If a right triangle has a side lengths of 10 inches and 12 inches, what is the length of the hypotenuse? Round to the nearest tenth.
14.9 inches
Adam works at a bakery. He uses 18 of his flour supply to make bread and34 of his flour supply to make other baked goods. If Adam used 21 pounds of flour, how much flour did he have in his supply?
24 pounds
A cube-shaped box has a volume of 64 cubic inches. If the box is packed full of cubes with edge lengths of 1 inch, how many cubes can fit along one side of the box?
4 cubes
Select all the measures of variability that can be used to compare two data sets.
Mean
Interquartile range
Median
Mean Absolute Deviation (MAD)
Range
IQR
MAD
Range
The random numbers below represent 10 trials of a simulation.
2632, 1365, 9367, 2056, 0026,6564, 1434, 8045, 4781, 8681
The numbers 0–7 represent students who watched television last night, and the numbers 8 and 9 represent students who did not. Based on the simulated data, what is the probability that exactly 2 out of a group of 4randomly selected students watched television last night?
1/10
The circumference of a circle is 274.12 m. What is the approximate area of the circle? Use 3.14 for pi.
5,983 meters squared
A music shop charges a deposit of $20, plus a monthly rate of $30 to rent an instrument. For how many months did Avi rent an instrument if he spent a total of $80?
2 months
In 1902, the yearly attendance at a major league baseball park was 3.4 × 105 people. One hundred years later, the yearly attendance was 1.7 × 106 fans. How many times greater was the attendance in 2002 than in 1902?
5 times
Find the IQR of this data set:
4, 9, 8, 6, 14, 11, 14, 8, 16, 12
IQR = 6
To play a board game, a player spins the pointer of a spinner with four equal sections numbered 1–4,and then flips a fair coin. What is the probability of spinning either a 3 or a 4 AND flipping a head?
25%
The wheels on a bike have a diameter of 26 inches. How many full revolutions will the wheels need to make to travel 100 feet?
15 revolutions
What is the solution to the equation?
-2.5(x - 4)= -3x + 4
x = -12
Simplify this expression:
(5×10-3) + (6×10-3)/2.2×104
5 x 10-7
Find the mean absolute deviation of the data set:
8, 11, 11, 7, 9, 9, 8, 9, 10, 3
MAD = 1.6
Four people—Roger, Gail, Simon, and Lisa—enter their names into a drawing. The winner receives a sweater, hat, or scarf, and which prize they receive is randomly selected. What is the probability that either Gail wins and is given a scarf, or Simon wins (and is given any prize)? Write the answer as a percent.
33.3%
Marcia has a box in the shape of a rectangular prism. It's dimensions are 5 in by 4 in by 10 in. If shipping costs $0.15 per cubic inch, how much will it cost Marcia to ship the box?
$30
Graph a line with the equation
y =1/3x + 2
See Graph
Find (9.3 × 106) + (1.8 × 104).Express your answer in scientific notation
9.318 x 106