Kim and susan are playing a tennis match where the winner must win 2 sets in order to win the match. for each set the probability that kim wins is 0.64. the probability of kim winning the set is not affected by who has won any previous sets.(a) what is the probability that kim wins the match? (b) what is the probability that kim wins the match in exactly 2 sets (i. e. only 2 sets are played and kim is the one who ends up ) what is the probability that 3 sets are played?

a) the probability that Kim wins the match is 0.7046

b) the probability that Kim wins the match in exactly 2 sets is 0.4096

c) the probability that 3 sets are played is 0.4608

Step-by-step explanation:

a) Kim's wins:

P(Kim wins)=0.4096+0.1475+0.1475=0.7046

b) Kim wins the match in exactly 2 sets

c) 3 sets are played

P(Kim wins first set, Susan wins second set, Kim wins third set)=0.64×0.36×0.64≈0.1475

P(Susan wins first set, Kim wins second and third set)= 0.36×0.64×0.64≈0.1475

P(Kim wins first set, Susan wins second and third set)=0.64×0.36×0.36≈0.0829

P(Susan wins first set, Kim wins second set and Susan wins third set)=0.36×0.64×0.36≈0.0829

P(3 sets are played)=0.1475+0.1475+0.0829+0.0829=0.4608

answer: d. $20

step-by-step explanation:

just took the test

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.