Find the range, mean, median, and mode of the following numbers:
45, 42, 68, 43, 43, 43, 65, 43
How many solutions does this system have?
y = 2x + 5
y = 2x - 3
None
Write an expression for: "Five less than the product of x and y"
xy - 5
Write an expression for the probability that a die rolled 5 times will land on 2 every time.
(1/6)^5
When solving a system with elimination or substitution yields a contradiction like 5 = 0, the system is ______________.
inconsistent.
When three times the supplement of an angle is divided by four, the result is 50 degrees more than the complement of the angle. What is the measure of the angle?
20 degrees
How many different results are possible when a coin is tossed, a die is rolled, and a letter of the alphabet is randomly chosen?
312
Solve the system graphically:
y = -2/3x + 5
y = 1/2 x - 2
(6, 1)
I have 52 coins, all dimes and nickels, worth $4.40. How many of each kind of coin do I have?
36 dimes, 16 nickels
Write an expression for the probability that a die rolled t times will land on 6 at least once.
1 - (5/6)^t
Solve the system graphically:
6x - 10y = 70
y = 3/5 x - 7
Infinitely Many Solutions
Susan has a jar that contains 5 blue marbles and 6 purple marbles. She randomly draws 2 marbles, one after the other. What is the probability that the first marble is purple and the second marble is blue if the marbles are drawn with replacement.
30/121
If a class of 20 students had an average score of 90 and another class of 30 students averaged 80, what was the overall average?
84
Solve with any method:
a - 12b = 3
2a + 3b = 15
(7,1/3)
A department store purchases a suit for x dollars. To sell the suit to customers, the price increased by 28%. What is the new price of the suit?
1.28x dollars