Logs
Exponents
Random
Statistics
Normal Distribution
100
What is the logarithmic form of 52=25 ?
2=log525
100
Solve: 273x=81
x=4/9
100
Write this using one log
ln 3 - 5 ln 3
ln(1/81)
100
A preschool teacher by the name of Mrs. Bumblebee graded the final exams taken by all her students in class and came up with a list of the final grades: 42, 48, 56, 59, 63, 68, 71, 76, 79, 83, 85, 90, 90, 93, 98. What is the mode?
90
100
A group of cars are filling up their tanks. The average price of gas is $4.98 per gallon. If the standard deviation is $0.87, what percentage of gas stations have has a cost per gallon greater than $4.11?
84% of Gas Stations in that area cost more per gallon than $4.11.
200
What is the exponential form of log 0.0001 = -4
10-4=0.0001
200
Simplify
(2x2y-3)-1 (x-1y4)
y^7/(2x^3)
200
List the asymptotes of
y = log2 (x-2) - 3
x=2
200
What is the median of the following numbers?
4, 9, 6, 3, 4, 2, 5, 7, 11, 8, 2
5
200
The average time it takes an emergency service to respond to calls in a certain municipality is 13 minutes. If the standard deviation is 3 minutes, find the probability that for a randomly selected call, the service takes less than 10 minutes. Assume the times are normally distributed.
16% probability for a random selected call under 10 min
300
Evaluate:
log8 + log10
1.9031
300
Suppose that a stock’s price is rising at the rate of 7% per year, and that it continues to increase at this rate. If the value of one share of this stock is $43 now, find the value of one share of this stock three years from now.
$52.68
300
Rewrite the following in exponential form.
Logy148 = x
yx=148
300
Find the mean : 1, 2, 3, 5, 6, 7, 8
4.6
300
Phone users of iphones are normally distributed. The average iphone user is 45 years old and the standard deviation is 5. What % of people between the ages 35 and 45 use iphones.
47.5%
400
Evaluate
ln(e6)
6
400
Solve:
(-4x2)(-5x–2)
20
400
Create a box plot showcasing the quartiles of the data set.
10, 7, 4, 6, 8, 8, 9, 13, 9, 8, 4, 6, 4
400
2, 1, 8, 5, 3, 6, 8, 10, 13, 16, 2, 6, 8
Find the upper quartile (Q3)
9
400
Find the percentage between z = -1.62 and z = 0.50
Round to the nearest hundredth.
63.89%
500
Solver for x
Log981= x
2
500
Is this equation decay or growth?
y = 10(0.45)x
Decay
500
Solve ln x + ln (x − 3) = ln 10 for x.
x=5
500
A survey on iphone users is being conducted and they found that people between the ages 3 and 21 use iphones. What is the average age of the iphone users? Data: 3, 3, 6,7,8,10, 15, 15, 15, 19, 19, 19, 20
12.2 , 12 years old
500
x̅: 140
Sx : 15
find the probability of the value being above 165 - assume the data is a normal distribution
about 5%