Number Theory/Integers
The prime factorization of 108 is....
What is
2^2times3^3
57.859 to the nearest tenth is...
What is 57.9
The value of x in the following equation:
3x-12=9
What is 7
What is the mean of the following distribution:
12, 20, 18, 25, 42, 50, 75, 38, 39
What is approximately 35.4
If a regular six-faced die is rolled once, what is the probability of rolling a prime number?
What is
2/3
The greatest common factor of 32 and 84?
What is 4
What is the sum of the following two fractions:
12/17+1/9
What is
125/153
The value of x in the following equation:
10x-32=8x+64
What is x=48
What is the median of the following distribution:
35, 38, 12, 13, 21, 34, 67, 78, 81, 93
What is 36.5
If a regular six-faced die is rolled twice, what is the probability of rolling two odd numbers?
What is
1/4
The LCM of 8 and 18 is....
What is 72
What is the result of the following series of operations:
1/5+1/7-5/6
What is
-103/210
The value of x in the following proportion:
(x+1)/4=7/5
What is
x=23/5
What is the ratio of the mode to the median of the following distribution:
16, 17, 22, 18, 18, 18, 21, 42, 46, 67, 72, 81
What is 36:43
A bag contains 12 red marbles and 7 green marbles. If a marble is picked out of the bag at random, what is the probability that the marble is green?
What is
7/19
The result of the following series of operations:
-12+8-32+46-1
What is 9
Jackson made some chili with 1 7/8 cans of black beans and 2 1/8 cans of pinto beans. How many cans of beans did Jackson use in all?
What is 4 cans of beans
The value of x in the following proportion:
38/(2x-3)=3/(x-1)
What is
x=29/32
Three students are asked to find the medians of the following distributions:
Tony: 5, 4, 6, 6, 6, 8, 8, 9, 10, 12
Tim: 3, 3, 3, 4, 9, 9, 10, 12, 16, 20
Todd: 2, 2, 2, 2, 4, 5, 6, 7, 8, 9, 18
What is the prime factorization of the product of the three medians?
What is
3^2times5times7
A deck of cards contains 52 cards. Half of the cards are red cards and half of the cards are black cards. If three cards are picked at random, one at a time, and without replacement, what is the probability that the three cards are red?
What is approximately 11.8%
The result of the following series of operations:
What is 66
Carrie's milkshake recipe calls for 5/6 of a scoop of ice cream and Jonah's recipe calls for 1/2 of a scoop. How many more scoops of ice cream are used in Carrie's recipe than in Jonah's recipe?
What is
1/3 scoops more
Ian read a total of 10 books over 2 months. After belonging to the book club for 9 months, how many books will Ian have read in all? Assume the relationship is directly proportional.
What is 45 books
The following three distributions are given:
a. 12, 12, 12, 45, 18, 38, 50, 32
b. 24, 24, 26, 27, 28, 32, 45, 54
c. 18, 18, 18, 20, 21, 24, 25, 34
What is the product of the ranges of the three distributions?
What is 18 240
A bag contains the letters that make up the following word: acetaminophen
If two letters are picked at random, one at a time and without replacement, what is the probability that the two letters are vowels?
What is approximately 26.9%