Of the 74 people who answered "yes" to a question, 15 were male. Of the 71 people that answered "no" to the question, 6 were male. If one person is selected at random from the group, what is the probability that the person answered "yes" or was male?

55.2%

Step-by-step explanation:

We have that 74 people answered yes and 71 answered no. So the total number of people who answered the question was 74 + 71 = 145.

Now, of those 145, 74 answering yes, then the probability of saying yes is:

P (Y) = 74/145

We know that 21 (15 + 6) are men, therefore the probability of being a man is:

P (M) = 21/145

Finally, we also know how many people answering that yes, they are men, they are 15, therefore the probability is:

P (Y and M) = 15/145

Finally, we use the "sieve" formula, for the probability that he is a man or that he answered yes.

P (Y or M) = P (Y) + P (M) - P (Y and M)

Replacing we have:

P (Y or M) = 74/145 + 21/145 - 15/145

P (Y or M) = 80/145

P (Y or M) = 0.552

In other words, the probability is 55.2%

answer: 7270

step-by-step explanation:

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.