Kiara, Giovanni, and Ebony are triplets and always argue over who can answer basic math facts the fastest. After
completing a few different math fact activities, Kiara, Giovanni, and Ebony record their data, which is shown below.
Kiara: m = 5t, where t represents the time in seconds,
and m represents the number of math facts completed.
Giovanni:
Seconds
Math Facts
5
20
10
40
15
60
1. What is the math fact completion rate for each student?
2. Who would win the argument? How do you know?
Ebony:
Number of Math Facts
56286368
60
30
24
18
Number of Math Facts Per Second
12
6
0
0 1 2 3 4 5 6
Number of Seconds
7 8 9 10
11 12
1. The math fact completion rate for each student is:
Kiara: m = 5t, where t represents the time in seconds, and m represents the number of math facts completed. Therefore, Kiara's math fact completion rate is 5 math facts per second.
Giovanni: Giovanni's math fact completion rate is 4 math facts per second.
Ebony: Ebony's math fact completion rate is 12 math facts per second.
2. Ebony would win the argument, as she has the highest math fact completion rate.
The table shows the drink preferences of 50 shoppers at the mall. What is the probability that one shopper, selected at random from the 50 surveyed, preferred either Drink B or Drink A?
Drink. |. Number of shoppers
A. |. 7
B. | 8
C. |. 10
D. |. 11
E. |. 14
A. 8/25
B. 3/10
C. 11/25
D. 7/25
The probability that one shopper, selected at random from the 50 surveyed, preferred either Drink B or Drink A is:
P(A or B) = P(A) + P(B) - P(A and B)
P(A) = 7/50 (number of shoppers who preferred Drink A divided by the total number of shoppers)
P(B) = 8/50 (number of shoppers who preferred Drink B divided by the total number of shoppers)
P(A and B) = 0 (there are no shoppers who prefer both A and B)
P(A or B) = 7/50 + 8/50 - 0 = 15/50 = 3/10
Therefore, the answer is B. 3/10.
A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling
a number greater than 5.
A. 1/6
B. 1/3
C. 1/4
D. 2/3
There is only one number out of six that is greater than 5, which is 6. Therefore, the probability of rolling a number greater than 5 is 1/6.
So, the answer is A. 1/6.
A number cube is rolled 360 times, and the results are recorded as follows: 61 ones, 26 twos, 36 threes, 76 fours, 73 fives, and 88 sixes. What is the experimental probability of rolling a 2 or a 3?
A. 0.07
B. 0.17
C. 0.26
D. 0.83
The experimental probability of rolling a 2 or a 3 is the number of times a 2 or a 3 is rolled divided by the total number of rolls:
Number of times a 2 or a 3 is rolled = 26 + 36 = 62
Total number of rolls = 360
Experimental probability of rolling a 2 or a 3 = (26 + 36) / 360 = 62 / 360 ≈ 0.17
Therefore, the answer is B. 0.17.
From a barrel of colored marbles, you randomly select 5 blue, 2 yellow, 3 red, 4 green, and 2 purple marbles. Find the experimental probability of randomly selecting a marble that is not yellow.
A. 9/16
B. 7/8
C. 8/9
D. 3/4
The total number of marbles is:
5 blue + 2 yellow + 3 red + 4 green + 2 purple = 16 marbles
The number of marbles that is not yellow is:
5 blue + 3 red + 4 green + 2 purple = 14 marbles
Therefore, the experimental probability of randomly selecting a marble that is not yellow is:
number of marbles that is not yellow / total number of marbles = 14/16 = 7/8
Hence, the answer is B. 7/8.
The probability of winning a game is 25%. How many times should you expect to win if you play 36 times?
A. 3 times
B. 7 times
C. 9 times
D. 11 times