Modeling
Given the data below, what is the independent variable?
Texting time (minutes) 5 8 7 12
Length of a class (minutes) 50 70 100 160
Length of a class
David invests $5000 in an account that pays simple interest of 2% each year. How much interest is earned after 10 years?
$1000
Emma flips a fair coin 5 times. Find the probability that the first outcome is a head and the rest outcomes are tails.
0.55= about .03 or 3%
Find the mean for the given data set {65, 70, 75, 80, 80}.
74
An experiment consists of rolling a six-sided die once. What is the probability that the outcome is less than 4 knowing that it is less than or equal to 5?
3/5 =.6 (Outcome is LESS than 4 and we know it is out of 1 through 5 )
The following points represent which growth type? (Linear, Exponential, quadratic, logarithmic, none of the above)
(0,4) (1,12) (2,36) (3,108) (4,324)
Bonus: What is the equation?
Exponential
(Multiplying by 3 each time)
y=4*3x
Assume that an investment of $1000 earns an APR of 2% compounded monthly for 30 months. How much money is in your account after 30 months?
$1051.23
There are 1 red, 2 green, and 3 yellow balls in a bag. Find the probability of drawing a red or green ball from the bag.
3/6 or .5 or 50%
Find the third quartile given the data set {3, 0, 9, 3, 8, 1, 2, 5, 0, 1}
5
0,0,1,1,2,3,3,5,8,9 and 2.5 is the median.
A recent study found that 78% of college students purchased their textbooks online. If three college students are randomly selected, what is the probability that ALL three purchased their textbooks online?
(.78)3=.47
Write an equation to represent the data:
(1,9)
(2,11)
(3,13)
(4,15)
y=2x+7
To buy a car, you borrow $24,000 with a term of five years at an APR of 6%.
What is your monthly payment?
$463.99
An experiment consists of rolling a fair six-sided die twice. What is the probability that an experiment results in a sum of 6?
5/36 or about 13.9%
The weights of apples in the fall harvest are normally distributed, with a mean weight of 200 grams and standard deviation of 8 grams. How many apples are above 216 grams?
2.5%
(95% of data is between 2 standard deviations with 2.5% on either side)
What is the probability that an experiment (one roll of a die) results in a number that is less than or equal to 6?
1 or 100%
Initially, a population is 5000, and it grows by 2% each year. Determine the population size after 5 years.
5520 people
If the starting annual salary for a job is $50,000 and it increases 1% every year from the previous year, how long will it take for the salary to be $60,000?
Suppose you draw a card, put it back in the deck, and draw another card.
What is the probability that the first card is a Queen (Q) and the second one is a King (K)?
16/2704 or 1/169 or .00591716 or about 0.59%
Find the standard deviation for the data set {1, 4, 3, 0, 4, 1, 2, 1, 2, 2}. (round to 2 decimal places)
about 1.26
Eric was charged $65 for a family dinner at a restaurant. He calculated and found the bill was $60 before tax. Find the tax rate (as a percent).
8.3%
What is the growth rate for the following (year, population) data points?
(1970, 9000)
(1980, 15000)
1.0524
The gas price was $0.32 per gallon in a U.S. city in 1970. How much was the price in 2010 dollars if the inflation rate from 1970 to 2010 was 450%?
$1.76
(Multiply $0.32 by 5.5, which is 4.5 +1)
Given the data below, what is the probability that a respondent would text while driving given that the respondent is female? (two-way table below)
Texting while driving Never texting while Driving
Female 450 300
Male 550 400
450/750 or 45/75 or .6 or 60%
The weights of apples in the fall harvest are normally distributed, with a mean weight of 200 grams and standard deviation of 8 grams. In a supply of 8000 apples, how many will weigh between 192 and 208?
5440 Apples (68% of the data will fall within 1 standard deviation from the mean)
A regular deposit is $300 per month that pays an APR of 2%. What is the balance after 10 years?
$39,815.90