Find the length of ac. express your answr in terms of pi.

Explanation:

circumference = distance around the circle

In other words, if you had a curved fence around the circle, then the circumference is the perimeter of that circle (telling you how much fencing you need, assuming there's no waste)

The formula for the circumference is C = pi*d where d is the diameter. In this case, 24 ft is the diameter because this segment goes from one point on the circle to another, and this line goes through the center.

The circumference of this full circle is...

C = pi*d

C = pi*24 ... replace d with 24

C = 24pi

Now we don't want the whole distance around the circle. We only want a small fraction of it. Specifically from A to C along the shortest route (this is called minor arc AC). The angle measure of arc AC is 120 degrees. Why? This is because 180 - x = 180 - 60 = 120, the x = 60 refers to the measure of minor arc BC. The two arc measures combine to get 180 degrees.

Using the fact that minor arc AC is 120 degrees, this means the distance along the arc AC is 120/360 = 1/3 of the entire circumference. Note how I divided 120 over 360 because there are 360 degrees in a full circle

So...

distance along minor arc AC = (1/3)*(circumference)

distance along minor arc AC = (1/3)*(24pi)

distance along minor arc AC = 8pi

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed

step-by-step explanation:

i found the life tables for the year 2012. 

life table of males at age 30. probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old. 

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

                                          probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497