The accompanying table shows the number of cars of two different brands sold at a dealership during a certain month. The number of coupes and sedans is also shown. Vehicle Brand 1 Brand 2 Total
Coupe
100
240
340
Sedan
200
85
285
Total
300
325
625
If one of these vehicles is selected at random, determine the probability that it was a coupe, given that the vehicle selected was Brand 1.
The probability that a vehicle was a coupe, given that it was Brand 1.is
(Round to four decimal places as needed.)

0.5440

Step-by-step explanation:

Given that ;

          Brand 1 : Couple      Brand 2: Sedan        Total

                           100                            200              300

                           240                              85              325

            Total  :  340                              285             625

The probability that a vehicle selected at random is a couple given that it was brand 1 will be;

The probability that a selected vehicle is a couple is  340/625

=0.5440

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.

2 and 1.

step-by-step explanation:

plug in each answer. 0 doesn't work, 1 does. so does 2. 4 doesn't:

0 = 1 is not true.

2 = 2 is true.

4 = 4 is true.

8 = 16 is not true.

hope this !