The equation to find P(A and B) is P(A and B)= P(A) x P(B/A). P(B/A) stands for probability of B given A. First we need to find out the P(A). The P(A) is 8/13 because you have 13 marbles total and 8 white marbles. For P(B/A), it is 5/12. This is because there are 5 red marbles and given that A happened, there would only be 12 marbles left in the bag, leaving you with a 5/12 chance of getting a red marble. Now plug it in. 8/13 x 5/12 = 40/156, which simplifies down to 10/39. Thus, B is the answer.
It's approximately 0.0032
Recall that for a home visit, the technician charges $50 regardless on the time spent in the repair.
So, to find out the rate, we should calculate the part that depends on the spent time, and the add 50. So for example, we know that the technician spents 1 hour. So, we multiply 1 times 25 and then add 50. So, 25*1 + 50 = 75, which is the rate for a 1-hour repair.
So, in general, if we know that the number of hours is x, we multiply x times 25 and then add 50. Then a table would like this:
x 25*x 25*x +50
1 25 75
2 50 100
3 75 125
4 100 150
Note that as the time increases by one hour, the fare increases by 25. This is an example of a direct variation, since as the independent variable increases (t
Answer:
Total magic cakes =300
chocolate cakes =90
so if you want the percentage of chocolate you will divide the number of chocolate cakes over the total number of chocolates
% of chocolate cakes = 90/300×100%
=30%
First calculate the total price of the car alarm
P = 325 + 0.12(325)
P = $ 364 is the total prize of the car alarm
then calculate the discounted price
35%-off sale
P = 364( 1 - 0.35)
P = 364(0.65)
P = $ 236.6
$ 100 coupon
P = 364 - 100
P = $ 264
so it is better to have the 35%-off sale
so the answer is A
