Probability & Statistics
What is the probability of getting a heads, when a fair coin is flipped?
1/2
Ruth is running a race at a constant speed. She finished the 25 yard race in 5 minutes. What is her unit rate in yards per minute?
5 yards per minute
What is 34.5% as a decimal?
0.345
Solve the equation :
x-6=67
x = 73
A map for a rectangular park uses a scale factor of 2. On the map, the park is 3 by 9. What are the measurements of the actual park?
6 by 18
What is the theoretical probability of getting a 3, when rolling a fair 6-sided die?
1/6
Romeo bakes 36 cupcakes (y) in 2 hours (x) . Write a proportional equation to represent the number of cupcakes he can bake per hour.
y = 18x
What is 25% of 90?
22.5
Solve the inequality:
-2x<4
x>-2
A map uses a scale of 3 in = 45ft. What is the scale factor?
1 in = 15 ft
SF: 15
Jorge is rolling a fair 6-sided die, and flipping a coin. What is the probability that he rolls a 6 and gets a heads?
1/6 x 1/2 = 1/12
What are the 2 things that show that a graph is proportional?
If the line is straight and goes through the origin.
Samiah is going on Vacation to Bora Bora, her whole vacation was originally priced at $2,500. She found a coupon for 12% off the entire thing - what is the new price?
$2200
Solve the equation:
12x+12 = -12
x=-2
A square cover is 5 cm in the sketch and 20 cm in real life, what is the scale factor?
4
Amanda used a standard deck of 52 cards and selected a card at random 30 times. She recorded the suit of the card she picked, and then replaced the card. The results are below.
Diamonds : 7
Hearts : 9
Spades : 11
Clubs : 3
Based on her results, what is the experimental probability of selecting a heart?
9/30 = 3/10
Is this graph proportional? Explain why or why not in a complete sentence(be sure to include the strategy you used to decide).
(Show on slide)
No, there is not a constant proportionality. I checked each row, and saw that the multiplier was not constant throughout.
Jasiah is buying $89.99 V-Bucks. He uses a 10% off coupon code, then gets charged 10% tax on that price. How much does he pay in total?
$89.09
Isaac is buying notebooks for school. Each notebook costs $4. He also has to pay a one-time fee of $6 for a locker. If Isaac spends a total of $30, how many notebooks did he buy? Write and solve an equation for your answer.
4x+6=30
x = 6
The real sign is 48 inches long, and the drawing is 12 inches long.
a) Find the scale factor.
b) If the real width is 18 inches, find the drawing width.
a) 4
b) 4.5 in
A fair coin is flipped. In an experiment, the coin was flipped 55 times, and heads came up 11 times. What is the theoretical probability of getting a heads and the experimental probability of getting a heads. Make sure you simplify your fractions completely.
Theoretical : 1/2
Experimental : 1/5
How much more does a plan with Verizon cost than a plan with AT&T per month?
(Show on slide)
Verizon charges $2.50 more a month than AT&T.
A company starts to track the number of phone calls received each month. Information about the number of phone calls the company received in the first three months of tracking is listed below.
● During the first month, the company received 4,264 phone calls.
● During the second month, the company received 25% more phone calls than in the first month.
● During the third month, the company received 6,396 phone calls.
What was the percent increase in the number of phone calls from the second month to the third month?
Show your work.
20%
Gerri is hiking down a mountain. She starts at an elevation of −2 meters (below sea level). Each hour, she descends 5 meters. She wants to be at an elevation of at most −22 meters. How many hours will it take? Write and solve an inequality, for your answer.
−2−5x≤−22
x≥4
A triangular logo has a base of 3 cm in the notebook and 15 cm on screen.
a) Find the scale factor.
b) If the screen height is 20 cm, find the notebook height.
c) Find the area of the notebook triangle.
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