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Question
The Venn diagram represents the relationship among rational numbers, integers, whole numbers, and natural numbers.
Which numbers are incorrectly placed in the Venn diagram? (Choose 2)
Responses
A –2–2
B –8.2–8.2
C 00
D 88
E
4 2
34 2 3
F
– 1
2
The numbers that are incorrectly placed in the Venn diagram are:
B -8.2
F - 1
Maureen is setting up the fellowship hall for a Fourth of July party. She covered 6 tables with blue tablecloths, 6 tables with red tablecloths, and 4 tables with white tablecloths. Guests will be randomly seated at the tables when they arrive. Each table can seat 8 guests.
What is the probability that the first guest to arrive will be seated at a table with a blue tablecloth?
Responses
To find the probability that the first guest to arrive will be seated at a table with a blue tablecloth, we need to determine the total number of tables and the number of tables with blue tablecloths.
There are a total of 6 + 6 + 4 = 16 tables.
Out of these 16 tables, 6 tables have blue tablecloths.
Therefore, the probability that the first guest to arrive will be seated at a table with a blue tablecloth is 6/16 = 3/8 or 37.5%.
Max flipped three coins 24 times and recorded the faces showing each time. The results are shown below.
HTH HHH TTH TTT HTH
TTH
TTT HTH TTT HTT HHH TTH
HHT THH TTT THT THH HHH
HHT HHH
TTH THT TTT
HTT
Max is going to flip the three coins one more time.
Based on this sample space, what is the experimental probability that the coins will land with two heads and one tail face up in any order?
To find the experimental probability of the coins landing with two heads and one tail face up in any order, we need to count the number of times this outcome occurs in the sample space and divide it by the total number of trials.
From the given sample space, we can see that there are 9 instances where two heads and one tail face up in any order:
HHH
HHT
HTH
THH
TTH
THT
HTT
TTH
THT
Therefore, the experimental probability of this outcome is 9/24 = 3/8 or 37.5%.
Max flipped three coins 24 times and recorded the faces showing each time. The results are shown below.
Max is going to flip the three coins one more time.
Based on this sample space, what is the experimental probability that the coins will land with two heads and one tail face up in any order?