In how many ways can 5 people be formed into 5-member committees?
What is 1?
100
A man has 5 shirts and 2 ties. How many different shirt and tie arrangements can he wear?
What is 10?
100
Draw the angle -120 degrees.
What is this sketch?
100
Find the probability of having 4 girls in a 4-child family.
What is 1/16?
200
Perform the indicated operation
What is [ ] ?
200
A hot dog stand sells hot dogs with cheese, relish, chili, tomato, onion, mustard, or ketchup. How many different hot dogs can be concocted using any 3 of the extras?
What is 35?
200
How many subsets does the set {1, a, 7, b} have?
What is 16?
200
Convert the angle 55° to radians. Express the answer in decimal form, rounded to two decimal places.
What is 0.96?
200
In the city of Gloomville, the probability of rain on New Year's Day is 46%. What is the probability that next New Year's Day it will not rain in Gloomville?
What is 54%?
300
Find the difference in the percent of protein, fat and fiber between Mix B and Mix A expressed as a matrix. See table.
What is What is [ -2 4 -3]?
300
How many 3-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7, 8, 9, and 0? No digit can be used more than once.
What is 720?
300
If n(B)=60, n(A n B)=11,and n(A u B)=105, find n(A).
What is 56?
300
Find the exact value of sin (pi/4). Do not use a calculator.
What is sq 2/2?
300
A bag contains 8 red marbles, 2 blue marbles, and 1 green marble. What is the probability of choosing a marble that is not blue when one marble is drawn from the bag?
What is 9/11?
400
Find the inverse of matrix X.
What is [ ]?
400
A group of 8 friends goes bowling. How many different possibilities are there for the order in which they play if the youngest person is to bowl first?
What is 5,040?
400
How many different license plates can be made using 2 letters followed by 3 digits selected from the digits 0 through 9, if neither letters nor digits may be repeated?
What is 468,00?
400
(-2, -3) is a point on the terminal side of an angle θ. Find the exact value of cot θ.
What is 2/3?
400
A bag contains 13 balls numbered 1 through 13. What is the probability of selecting a ball that has an even number when one ball is drawn from the bag?
What is 6/13?
500
Solve the system using any method.
x + y - z = 6
3x - 2y + z = -5
x + 3y - 2z = 14
What is x = 1, y = 3, z = -2?
500
How many 6-symbol computer passwords can be formed if the first two symbols are letters (either upper or lower case) and the rest of the symbols are digits? (Letters and digits may be repeated.)
What is 27,040,000?
500
In a survey of 48 hospital patients, 20 said they were satisfied with the nursing care, 23 said they were satisfied with the medical treatment, and 6 said they were satisfied with both. How many patients were satisfied with neither? How many were satisfied with only the medical treatment?
What is 11; 17?
500
A tree casts a shadow of 26 meters when the angle of elevation of the sun is 24°. Find the height of the tree to the nearest meter.
What is 12m?
500
Each of ten tickets is marked with a different number from 1 to 10 and put in a box. If you draw a ticket from the box, what is the probability that you will draw 1, 6, or 2?