What is the probability of rolling a 1 on a standard die?
(Express your answer as a simplified fraction)
1/6
What is the correlation of the above plot?
(Hint: Need both direction and strength)
Negative Moderate
Evaluate the expression:
log4(4)+log4(16)
log4(4*16) = log4(64) = 3
You buy an autographed film poster for $100 and it is expected to increase in value by 5% over the next 10 years. To figure out how much this is worth, would you use ART or PERT?
ART (used for items)
What city am I in?
Grand Rapids
What is the probability of selecting a yellow or blue marble from a box of 5 green, 3 yellow, and 2 blue marbles?
P(yellow or blue)= P(yellow) + P(blue) = 1/2
Using the above table, find the probability that someone likes snowmobiles. (Express your answer as a SIMPLIFIED fraction)
105/160 = 21/32
Evaluate the following expression:
log3273
3log327 = 3(3) = 9
You buy an autographed film poster for $100 and it is expected to increase in value by 5%. How much will it be worth in 10 years?
a(1+r)t
100(1+0.05)10
$162.89
Name the movie:
"Toto, I've a feeling we're not in Kansas anymore"
(Double points if you can also name actor who said it)
The Wizard of Oz
Judy Garland
The probability of selecting a red marble, not replacing it, then selecting a green marble from a box of 6 red and 2 green marbles
A) Are these events dependent or independent?
Dependent
(the marble was not replace)
Using the above table, find the probability that someone likes skateboards given they do not like snowmobiles. (Express your answer as a SIMPLIFIED fraction)
(45/55) = 9/11
Solve the following equation for x:
4x+2=18
4x+2=18
-2 -2
4x=16
log416 = x
x = 2
A watermelon decays at a rate of 6% per month. How much would a 20 pound watermelon weight after 4 months?
Pert
20e(-.06)(4)
15.73 pounds
What is the boiling point of water?
100oC or 212oF
On a spinner labeled with numbers 1-10, where each number is equally likely to be spun, determine the probability of spinning an odd number or a multiple of 3.
3/5
P(odd) = 5/10
P(multiple of 3) = 3/10
P(odd and multiple of 3)= 2/10
5/10 + 3/10 - 2/10 = 6/10 = 3/5
What is the correlation of the above scatterplot?
No Correlation
Solve the following equation:
log(3x-5)=1
log(3x-5)=1
101 = 3x-5
15 = 3x
x = 5
FREE SPACE!
$$$$$$$$$$$
Everyone gets $$$
Who is the Pythagorean Theorem named after?
Pythagorus
The probability of two independent events occurring is 1/18. If the probability of one event is 1/3, find the probability of the other event.
1/6
P(AandB)= P(A) * P(B)
1/18= 1/3 * x
x= 3/18 or 1/6
You randomly select someone who prefers chocolate ice cream. What is the probability that person is a child? .Express your answer as a simplified fraction, a decimal, AND a percentage.
40/107, 0.37, 37%
Write the inverse function for f(x) if
f(x) = 5x - 2
x = 5y - 2
x + 2 = 5y
log5(x+2) = y
You have $5000 in the bank earning 4% interest and it compounds continuously.
How long will it take for your investment to be worth $9000?
Pert
5000e.04t=9000
e.04t=9/5
ln(9/5)=.04t
.59 = .04t
t = 14.69 years
Which US president spent the LEAST amount of time in office?
(Double points if you know how many days)
William Henry Harrison (31 days)