Consider parallel lines cut by a transversal. Parallel lines q and s are cut by transversal r. On line q where it intersects lin
2 answers:
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Answer:
Step-by-step explanation:
Let us record the station number 1, 2 or 3 for each family member A, B or C.
I am attaching a table containing total outcomes. Outcomes are presented along rows while the assigned station to each member is written along columns. For ease of understanding, 1 3 2 in the table should be interpreted as family member A being assigned to station 1, member B to station 3 and member C to station number 2, respectively.
From table it is clear that the total outcomes possible are 27.
We know that, probability can be defined as,
a) All Members Assigned to the Same Station.
Cases for all members being assigned to same station are as follows:
[1 1 1], [2 2 2], [3 3 3] (outcome number 1, 14 and 27 in the table).
Therefore,
b) At Most Two Members Assigned to the Same Station.
It means that maximum of 2 members can have the same station. Cases for this situation are as follows:
[1 1 2], [1 1 3], [1 2 1], [1 2 2], [1 3 1], [1 3 3], [2 1 1], [2 1 2], [2 2 1], [2 2 3], [2 3 2],
[2 3 3], [3 1 1], [3 1 3], [3 2 2], [3 2 3], [3 3 1], [3 3 2]
(outcome number 2, 3, 4, 5, 7, 9, 10, 11, 13, 15, 17, 18, 19, 21, 23, 24, 25 and 26 in the table).
Therefore,
c) All Members Assigned to a Different Station.
For this scenario, we have the following results:
[1 2 3], [1 3 2], [2 1 3], [2 3 1], [3 1 2], [3 2 1] (outcome number 6, 8, 12, 16, 20 and 22 in the table).
Therefore,
six pipes are laid end to end to form a row. Each pipe is 9 1/3 inches long. how long is the row of pipes, in feet?
Answer:
4.67 feet or 4 feet 8 inches or feet
Step-by-step explanation:
Let x be the length of the row pipes.
Given:
Number of pipes = 6
Each pipe has length inches. and six pipes are laid end to end to form a row.
The total length of the row is equal to length of the 6 pipes.
So, total length of row = Number of pipes Length of the pipe
inches
convert inch into feet.
Therefore, The length of the row is 4.67 feet or 4 feet 8 inches or feet .
Answer:
1. A Venn diagram is attached. The amount of people that have health insurance and is confident about the economy is 287.
2. The amount of people that have health insurance and is not confident about the economy is 116.
3. The amount of people that have health insurance or is confident about the economy is 437.
Step-by-step explanation:
1) Using sets theory, we know:
U: 500 people surveyed
A: people who is confident in the economy
B: people that have health insurance
A' and B': people who is not confident in the economy and don't have health insurance.
A=321
B=403
A' and B' =63
In the attached picture we can see a Venn diagram that represents the situation. In order to obtain the intersection of both sets A∩B, we calculate:
(321 - x) + (403 - x) + x + 63 = 500
321 - x + 403 - x + x + 63 +x -500 = 500 +x - 500
321 + 403 + 63 -500 = x
x= 287
2) The amount of people that have health insurance and is not confident about the economy is given by the intersection of the complement of set A and set B:
A' ∩ B can be calculated as:
B - (A ∩ B)= 403 - 287= 116
3) The amount of people that have health insurance or is confident about the economy is given by:
(A∪B) = (A) + (B) - (A ∩ B)
(A∪B) = 321 + 403 - 287= 437
