A pump can fill a swimming pool in 8 hours. The pool also has a drain that can empty the pool in 10 hours. If someone turns on t
1 answer:
Answer:
40 hours will it take for the pool to fill.
Step-by-step explanation:
A pump can fill a swimming pool in 8 hours.
Work done by pump to fill in 1 hour is
The pool also has a drain that can empty the pool in 10 hours.
Work done by pump to drain in 1 hour is
If someone turns on the pump to fill the pool, but forgets to shut the drain.
Work done by both pipe in 1 hour is
Both pipe filled part of pool in hours = 1
Both pipe filled complete pool in hours =
Therefore, 40 hours will it take for the pool to fill.
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Part A
If 4 candidates were to be selected regardless of gender, that means that 4 candidates is to be selected from 12.
The number of possible selections of 4 candidates from 12 is given by
Therefore, the number of <span>selections of 4 candidates regardless of gender is 495.
Part B:
</span>
<span>If 4 candidates were to be selected such that 2 women must be selected, that means that 2 men candidates is to be selected from 8 and 2 women candidates is to be selected from 4.
The number of possible selections of </span><span>2 men candidates from 8 and 2 women candidates from 4 is given by
</span><span>
Therefore, the number of selections of 4 candidates </span><span>such that 2 women must be selected is 168.</span>
Part 3:
If 4 candidates were to be selected such that at least 2 women must be selected, that means that 2 men candidates is to be selected from 8 and 2 women candidates is to be selected from 4 or 1 man candidates is to be selected from 8 and 3 women candidates is to be selected from 4 of <span>no man candidates is to be selected from 8 and 4 women candidates is to be selected from 4.
The number of possible selections of </span>2 men candidates from 8 and 2 women candidates from 4 of <span>1 man candidates from 8 and 3 women candidates from 4 of no man candidates from 8 and 4 women candidates from 4 is given by
</span><span>
Therefore, the number of selections of 4 candidates </span><span>such that at least 2 women must be selected is 201.</span>
If 4 candidates were to be selected regardless of gender, that means that 4 candidates is to be selected from 12.
The number of possible selections of 4 candidates from 12 is given by
Therefore, the number of <span>selections of 4 candidates regardless of gender is 495.
Part B:
</span>
<span>If 4 candidates were to be selected such that 2 women must be selected, that means that 2 men candidates is to be selected from 8 and 2 women candidates is to be selected from 4.
The number of possible selections of </span><span>2 men candidates from 8 and 2 women candidates from 4 is given by
</span><span>
Therefore, the number of selections of 4 candidates </span><span>such that 2 women must be selected is 168.</span>
Part 3:
If 4 candidates were to be selected such that at least 2 women must be selected, that means that 2 men candidates is to be selected from 8 and 2 women candidates is to be selected from 4 or 1 man candidates is to be selected from 8 and 3 women candidates is to be selected from 4 of <span>no man candidates is to be selected from 8 and 4 women candidates is to be selected from 4.
The number of possible selections of </span>2 men candidates from 8 and 2 women candidates from 4 of <span>1 man candidates from 8 and 3 women candidates from 4 of no man candidates from 8 and 4 women candidates from 4 is given by
</span><span>
Therefore, the number of selections of 4 candidates </span><span>such that at least 2 women must be selected is 201.</span>
First you have to find the angle B (check attachment)
Then you can find the last angle inside the triangle, which I'll call C
Now you can find angle A
