In 1970, 11% of americans completed four years of college; 43% of them were women. in 1990, 22% of americans completed four years of college; 53% of them were women (time, jan. 19, 1996). (a) given that a person completed four years 2 of college in 1970, what is the probability that the person was a woman? (b) what is the probability that a woman finished four years of college in 1990? (c) what is the probability that a man had not finished college in 1990?

a)  0.43

b)  0.1166

c)  0.8966

Step-by-step explanation:

Percentage of people that completed 4 yrs college (1970) = 0.11

Women who passed 4 yrs college in 1970 = 43% of those (above)

Percentage of people that completed 4 yrs college (1990) = 0.22

Women who passed 4 yrs college in 1970 = 53% of those (above)

a)

It is already given in the question that of the people that passed college in 1970, 43% were women. This question already says that given that person completed 4 years college, how many are women??

That probability of that is 0.43

b)

Here, it is NOT given that who passed college. They want to know how many are women FROM THE PASSED ONES. So we need to multiply the percentages, 53% of 11%. That is:

0.53 * 0.22 = 0.1166

The probability is 0.1166

c)

We need to find the probability that MAN HAD FINISHED COLLEGE in 1990 and subtract that from 1 (as it is the complement).

Since 53% are women, that means 100% - 53% = 47% is man

Hence, MAN finishing college in 1990 = 0.47 * 0.22 = 0.1034

Subtract that from whole (1):

1 - 0.1034 = 0.8966

The probability is 0.8966

4400

step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1