Thirty percent of check engine lights turn on after 100,000 miles in a particular model of van. the remainder of vans continue to have check engine lights that stay off.

simulate randomly checking 25 vans, with over 100,000 miles, for check engine lights that turn on using these randomly generated digits. let the digits 1, 2, and 3 represent a van with check engine light that turn on.

96408 03766 36932 41651 08410

approximately how many vans will have check engine lights come on?

a. 3

b. 7

c. 8

d. 10

B

Step-by-step explanation:

Count how many times a 1, 2, or 3 appears.  Of the digits, 7 are 1s, 2s, or 3s.

its d but looking at that hurts my eyes frfr

step-by-step explanation:

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.