1 Variable Stats
What does a high outlier do to the mean and median of a data set?
increases the mean
does not greatly affect the median
Solve the following equation for x
8(1 + 5x) + 5 = 13 + 5x
x = 0
Sophia goes to the carnival where the entrance fee is $5 and she has to pay $1 per ride. Write an equation to represent this situation. Find out how much money she will spend if she goes on 10 rides.
y = 1x + 5
$15
Fill in the blank for the following statements
1. A system with no solutions has _________ lines
2. A system with Inf. Many Solutions has _________ lines
3. A system with one solution has _________ lines
1. Parallel
2. Same *overlapping*
3. intersecting
What variable represents the correlation coefficient?
r
- 1,2,3,4,5
- 1,1,1,1,1
-1,1,10,10
- 1,2,2,6,6
1,1,1,1
There is no variability in the data so the standard deviation is 0
Solve the following equation for x
−10 = −14v + 14v
No solution
The football game costs $3 for students and $5 for adults. The total amount of money collected for the game is $1060. If 65 student tickets were sold how many adult tickets were sold?
173 adult tickets
Solve the following system
4y - 3x = 28
y = -2x - 4
(-4,4)
Below is the line of best fit for the population size of Missouri in millions of people starting in year 2000. Using the line of best fit what is the expected population size in 2026?
y = .02x + 54.5
55.02 million people
Joe scored a 78, 79, 81, and an 82 on his first four math tests. What score would he need to get on his fifth test in order for his test average to be an 83?
95 on the fifth test
Solve the following equation for y
3x - 4y = 16
y = 3/4x - 4
The total cost in dollars of membership in a fitness center is given by the equation c(m)=20m + 40, where m is the number of months a person is a member. In dollars, how much is the cost of membership for 2 years?
$520
A hairstylist charges $22 for an adult haircut and $10 for a child haircut. The hairstylist wants to earn at least $480 and cut a maximum of 28 haircuts this week. Write the system of inequalities and determine two possible solutions to this systems?
x + y <= 28
answers vary
Below is the line of best fit for the population size of Missouri in millions of people starting in year 2000. What do the slope and y-intercept mean in the context of this problem?
y = .02x + 54.5
Slope: Missouri's population increases .02 million people every year
Y-int: Missouri's population was 54.5 million people in 2000
If your graph is skewed which measures of spread and center should you use?
median, IQR
Solve the following equation for x
2/3(3x +6) = 1/2(5x - 2)
x = 10
Karen has two dogs. The larger dog weighs 1.4 pounds more than the smaller dog. The combined weight of both dogs is 12.6 pounds. What is the weight of the smaller dog?
*hint systems*
small dog: 5.6 pounds
The gardening club at school is growing crops. The club has 500 square feet of planting beds. Corn requires 7 square feet of growing space and beans require 3 square feet of growing space. The students want to plant some of each type of plant and they need at least 40 plants. Let c represent corn and b represent beans.
Write 3 inequalities that could represent this situation.
b > 0
c > 0
c + b >= 40
7c + 3b <= 500
What is a residual?
**must be in your own words not a google definition**
The distance from the actual data point to the line of best fit. They will be positive if they lie above the line and negative if they lie below the line.
The math team at school has scored the following amounts at their competition this year:
87,91,96,82,95,99,80
What measure of center is most appropriate? What is that number?
What measure of spread is most appropriate? What is that number? (round 2 decimal places)
Mean : 90
Standard Deviation: 7.26
Solve the following equation for x
(5x+6)/2 = 3 - (4x + 12)
-24/13
The width of a rectangle is 3/4 its length. The perimeter of the rectangle is 420 ft. What is the length of the rectangle?
*Hint: Draw a picture*
Length = 120
Joann has a total of 50 coins in her purse.
- the coins are either nickels or quarters
- the total value of the coins is $7.10
Write and solve a system of equations that could represent this situation.
n + q = 50
.05n + .25q = 7.10
27 nickels, 23 quarters
Whose restaurant slogan is 'eat fresh'
Subway