Algebra and Percents
Write the phrase in symbols:Three times the sum of a number and two
3 (x + 2)
What is the sample space when a coin is tossed and then a die is rolled?
(h,1), (h,2), (h,3), (h,4), (h,5), (h,6), (t,1), (t,2), (t,3), (t,4), (t,5), (t,6)
License plates are made using 2 letters followed by 3 digits. How many plates can be made if repetition of letters and digits is allowed?
676,000 plates
Suppose that events E and F are independent, P(E)=0.7and P(F )=0.2. What is the P(E and F)
0.14
Identify the sampling technique used. --> A market researcher randomly selects 100 drivers under 45 years of age and 200 drivers over 45 years of age
Stratified
An auto repair shop charged a customer $348 to repair a car. The bill listed $68 for parts and the remainder for labor. If the cost of labor is $40 per hour, how many hours of labor did it take to repair the car?
7 hours
Write the set using roster notation:{x∈Ν and x>24}
{25, 26, 27, 28, ...}
How many distinguishable permutations of letters are possible in the word?MISSISSIPPI
34, 650
A survey revealed that36% of people are entertained by reading books,26% are entertained by watching TV, and 12% are entertained by both books and TV. What is the probability that a person will be entertained by either books or TV? Express the answer as a percentage.
50%
What is the approximate measure of the angle that represents 40 out of 100 responses in a pie chart?
144 degrees
Solve for the missing number. x-7/x+2 = 3/5
41/2 or 20.5
Insert "⊆" or "⊈" in the blank to make the statement true. {6,26,31}___{17,26,31,41}
⊈
There are 8 singers in a competition. In how many ways can first, second, and third prizes be awarded?
336
If the probability of event A is given byP(A)=37, then find the odds in favor of and against A.
3/4 and 4/3
Find the mean, mode, median, and midrange for the following data set.12, 15, 18, 18, 15, 22, 15, 30, 12
mean=17.4 mode=15 median=15 midrange=21.0
Find the slope of the line containing the given points (6,-9) and (-1,1)
- 10/7
U={q, r, s, t, u, v, w, x, y, z}; A={q, s, u, w, y};B={q, s, y, z}; and C={v, w, x, y, z}.List the members of the indicated set, using set braces. (A∩B)'
{r, t, u, v, w, x, z}
A committee is to be formed consisting of 5 men and 3 women. If the committee members are to be chosen from 13 men and 9 women, how many different committees are possible?
108,108
A fair coin is tossed 5 times. What is the probability of exactly 4 heads?
0.1563
Given the following data set, find the approximate value that corresponds to the 75th percentile.10, 44, 15, 23, 14, 18, 72, 56
50
Write in slope-intercept form and identify the x and y intercepts: -5x-2y=10
y= -2.5x-5, x-int= (-2,0), y-int+ (0, -5)
A survey of a group of 109 tourists was taken in St. Louis. The survey showed the following:59of the tourists plan to visit Gateway Arch; 45 plan to visit the zoo; 11 plan to visit the Art Museum and the zoo, but not the Gateway Arch; 12 plan to visit the Art Museum and the Gateway Arch, but not the zoo; 17 plan to visit the Gateway Arch and the zoo, but not the Art Museum; 6 plan to visit the Art Museum, the zoo, and the Gateway Arch; 16 plan to visit none of the three places. How many plan to visit the Art Museum only?
12
How many 5-card poker hands consisting of 3 aces and 2 kings are possible with an ordinary 52-card deck?
24 hands
Suppose a charitable organization decides to raise money by raffling a trip worth $500. If 3000 tickets are sold at $1.00 each, find the expected payback for a person who buys 1 ticket
-$0.83
The lengths of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 15 days. Find the probability of a pregnancy lasting less than 250 days.
0.1151