Probability
True/False
You flip a coin 5 times. You would expect that your experimental probability will match your theoretical probability.
False.
Do the following side measurements create a triangle? Why/why not?
14in, 8in, and 5in
No, the two shorter sides must add up to more than the longest side.
What are the new ordered pairs of a triangle that has been reflected over the x-axis.
A (3.,6), B (9,6), C (6,1)
Multiply y-coordinate by -1.
A (3, -6), B (9, -6), C (6, -1)
(2x4)(-xy2)
-2x5y2
Find the median of the data set.
19, 7, 16, 2, 10, 6, 7
7
Sally scored a soccer goal 6 out of 10 times she went up to practice shooting. What is the relative frequency of her making the next practice shot in to the goal?
60%
Find the circumference of a circle with a radius of 3 in. You must use the proper unit of measure
9.42 in
Translate a triangle by (3, 2).
A(1, 6), B(6, 6), C( 1, 2)
Add 3 to all x-values and add 2 to all y-values.
A(4, 8), B(9, 8), C(4, 4)
2x3 divided by x4y4
2 divided by xy4
True or false. The following sample is biased.
A teacher wants to know how the students in ABC middle school feel about the new menu in the cafeteria. She decides to survey the students in her class to find out their opinions.
True. Every student in the school does not have a chance to be surveyed.
A juice company gives prizes to anyone finding specially marked caps on its bottles. You and your friends buy 53 bottles of juice. You find 2 of the bottles have a winning cap. What is the experimental probability of winning a prize in the contest?
2/53
Find the area of a circle with a diameter of 8in. You must use the proper unit of measure.
50.24 in2
Rotate the triangle 90 degrees counterclockwise.
A(1, 3), B( 3, 2), C(4, 5)
Switch the ordered pairs and multiply the x-value by -1.
A(-3, 1), B( -2, 3), C(-5, 4)
Simplify.
(x3)4 divided by (x3)8
1 divided by x12
Is the following a convenience sample or a random sample?
Julie wants to find out what music middle school students from GOC listen too most often. She decides to survey the students in her 5th period class.
Convenience Sample.
The theoretical probability of rolling a 5 on a six-sided number cube is 1/6. What is the theoretical probability of NOT rolling a 5?
5/6
Find the surface area of a rectangular prism with a length of 12in, width of 5in and height of 3in.
You must use the proper unit of measure
222in2
Rotate the triangle by 180 degrees counterclockwise.
A(2, 1), B(4, 3), C( 5, 1)
Multiply the x-value by -1 AND multiply the y-value by -1.
A(-2, -1), B(-4, -3), C(-5, -1)
(2.25 x 106) times (4,000,000)
9 x 1012
What is needed for a five point summary?
Highest number
Lowest number
Upper quartile
Lower quartile
Median
A coin-operated machine sells plastic rings. It contains 6 yellow rings, 11 blue rings, 15 green rings, and 3 black rings. Sarah puts a coin into the machine. Find the theoretical probability she gets a black ring. Express your answer as a percent. If necessary, round your answer to the nearest whole.
9%
The theoretical probability is the number of favorable outcomes (number of black rings) divided by the total number of possible outcomes (the total number of rings)
Find the volume of a triangular prism with the following measurements.
Length of rectangle: 9in.
Base of triangle: 4in.
Slant height of triangle: 5in.
Height of triangle: 6in.
You must use the proper unit of measure
Find the surface area of a rectangular prism with length
108 in3
Dilate the triangle by a factor of 3.
A(1, 2), B(2, 3), C( 3, 1)
Multiply the ordered pairs by the scale factor of 3.
A(3, 6), B(6, 9), C(9, 3)
(-9 x 108) divided by (240)
-3.75 x 106
Using the data {90, 70, 75, 70, 75, 80, 100} find the mean absolute deviation of the scores. The mean is 80.
8.6