steve runs a car wash and detail shop. he determines that 50% of customers get their car washed and vacuumed, while 72% get their car washed. what is the probability that a customer will get their car vacuumed given that they are getting it washed? (in decimal form rounded to nearest thousandths)

The probability is 0.694

Step-by-step explanation:

Let the probability of getting a car washed be

P(W) = 72% = 0.72

Let the probability of getting a car vacuumed be

P(V) = ?

Probability of getting car washed and vacuumed is P(W n V) = 50% = 0.5

From Bayes’ theorem

P(V|W) is the probability that a customer gets their car vacuumed given that they are getting it washed

So mathematically;

P(V|W) = P(V n W)/P(W)

= 0.5/0.72 = 0.694

answer is c

step-by-step explanation:

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: