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Answer:
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) <u>Kim's wins:</u>
- P(Kim wins first two sets) =0.64×0.64=0.4096
- 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)=0.4096+0.1475+0.1475=0.7046
b) <u>Kim wins the match in exactly 2 sets</u>
- P(Kim wins first two sets) =0.64×0.64=0.4096
c) <u>3 sets are played</u>
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: The answer is (b) 
Step-by-step explanation: The equation of a straight line in slope-intercept form is given by
where, 'm' is the slope and 'c' is the y-intercept of the straight line.
The equation of the given line EF is

Here, slope, m=2 and y-intercept, c=1.
Since our new line is parallel to the given line, so the slope of the new line=m=2.
So, let the equation of the new line be

Now, since the line passes through the point (0,2), so

Thus, the equation of the new line parallel to line EF will be

The correct option is (b).
Answer:
5.6 miles
Step-by-step explanation:
Firstly, we need to find the unit rate (the number of miles in 1 minutes).
To get this, we need to divide total miles ran (7 miles) by the total minutes taken (80 minutes). Thus, we will have MILES PER MINUTE.
7 miles ÷ 80 minutes = 7/80 miles per minute
Now,
We want number of miles in 64 minutes. Since we know "PER MINUTE", we simply multiply that with 64 to get number of miles in that amount of time.
THus,

So, in 64 minutes, Maria can run 5.6 miles