The following table represents the highest educational attainment of all adult residents in a certain town. If a resident who has only completed high school is chosen at random, what is the probability that they are aged 50 or over? Round your answer to the nearest thousandth

0.067

Step-by-step explanation:

The table has rows giving the degree and columns giving their ages.

We want probability of Only High School and aged 50+.

The first row is "high school only". We want this.

The 4th column is "Age 50 & over". We want this.

The intersection of 1st row and 4th column is what we want. That number of people is:

1206

The total number of residents is the right-bottom most cell, which is 18,122

Hence, the probability would be:

1206/18,122 = 0.0665

Nearest thousandth rounding is 3 decimal places, so the answer is:

0.067

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