Probability
An album has 12 songs. You make a playlist by randomly shuffling the order of the songs. What is the probability that the first 2 songs in the playlist are the first 2 songs on the album?
1/132
What’s the inverse of the function g(x)=-1/3(x-6)+5
g-1(x)=-1/3x+1
A person deposits $84 a month into a savings account. If the person withdraws $300, what type of transformation does this represent.
A translation down
Write the log expression 8 ln x + ln 5 in condensed form
ln5x^8
Every year Beth doubles the amount of money she donates to charity. She donated $1 to charity at age 10.
How much money will she donate at age $20?
$1,024
A card is randomly selected from a standard deck of 52 playing cars. What is the probability that it is a diamond or a queen?
What’s the inverse of the function f(x)=3x-7
x+7/3
A teacher gives a test on the computer to half of her students and on paper to the other half to check if three is a significant difference in the test scores. Identify the method of data collection.
An experiment
Expand log(5x^3)
Log 5+3 log x
Let a=2i+3, b=i-1, and c=-3i+2
Write an expression equivalent to a-b-c
4i+2
A restaurant has 9 different types of fruit in the kitchen. The chef randomly chooses 3 fruits. What is the probability the chef will randomly choose an apple, a pear, and an orange?
1/504
What is the inverse of f(x)=0.8x
f-1(x)=log0.8x
For what value of k is (x-3) a factor of f(x)=5x^8-9x^2+k
-54
Condense log x+ log(x+3)- log 5
log(x(x+3)/5)
The expression (x+2) is a factor of some polynomial p(x). What else must be true about p(x)?
p(-2)=0
A counselor determined that 60% of seniors class had taken a precalculus course and that 15% of the senior class had taken both a precalculus course and a statistics course. What percentage of seniors who took a precalculus course also took a statistics course?
25%
What’s the inverse of the function f(x)=1/2x+4
2x-8
A gas tank in a delivery truck holds a total of 30.8 gallons of gasoline. Approximately how many 5-pint cans of gasoline would it take to fill the tank completely?
50 cans
Solve log x=1
10
A factory packages bags of flour. The weights of the bags are normally distributed with a mean weight of 5.0 pounds and a standard deviation of 0.08 pound.
Quality testers find a bag of flour that weighs 4.95 pounds. What is the z-score of this bag’s weight?
-0.625
A card is randomly selected from a standard deck of 52 playing cards. What is the probability that it is a heart to an ace?
17/52
Whats the inverse of the function f(x)=2/x+3-6
f(x)=2/x+6-3
11 jugs
Log(x+3)=log 7
4
A restaurant has 9 different types of fruit in the kitchen . The chef randomly chooses 3 fruits. What is the probability the chef will randomly choose an apple, a pear, and an orange?
1/504