1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
notka56 [123]
3 years ago
8

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 winning)?(c) What is the probability that 3 sets are played?
Mathematics
1 answer:
Nikolay [14]3 years ago
5 0

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

You might be interested in
Choose the correct answer 1 1/12 - 7/10 greater than half or less than half​
CaHeK987 [17]

Answer:

less than half

Step-by-step explanation:

13/12 - 7/10 = 23/60

5 0
3 years ago
What would be the volume of a tree that has a radius of 2 feet and a length of 14 feet?
Blababa [14]

Answer:

C) 175.84 cubic feet

Step-by-step explanation:

V=πr^2h is the formula I used

I plugged in the numbers and solved

7 0
2 years ago
Read 2 more answers
In this diagram, which equation could you prove to be true in order to conclude that the lines are parallel?
Y_Kistochka [10]
<span>b/a=c/d Two lines are parallel to each other if they have the same slope. So let's look at the options and see which one matches that statement. b/aâ‹…c/d=â’1 * This is checking to see if the two lines are perpendicular to each other. Almost the exact opposite of parallel. So this is the wrong answer. b/a=c/d * b/a is a legitimate slope. c/d is also a good slope. And they're being checked to see if they're equal to each other. So this is the correct answer. But let's see if the next two options will give us a chuckle or two. b/a=d/c * b/a is OK. d/c almost looks ok, check the figure. And d/c is NOT a slope. The slope is delta Y over delta X. And d/c is delta X over delta Y. The inverse of the slope. So comparing those two values is meaningless. So it's a wrong answer. b/aâ‹…d/c=â’1 * And they're trying the inverse of the slope trick again. WRONG. And they're checking if it's perpendicular. Also wrong. So definitely not a good choice.</span>
6 0
3 years ago
Read 2 more answers
A spherical balloon is being inflated at a rate of 3 cubic inches per second. Determine the change in the rate of the radius.How
Novay_Z [31]

Answer:

The rate rate of change of radius is \frac{1}{48\pi} inches per second when the diameter is 12 inches.

The radius is changing more rapidly when the diameter is 12 inches.

Step-by-step explanation:

Consider the provided information.

A spherical balloon is being inflated at a rate of 3 cubic inches per second.

The volume of sphere is V=\frac{4}{3}\pi r^3

Differentiate the above formula with respect to time.

\frac{dV}{dt}=4\pi r^2\frac{dr}{dt}

Substitute the respective values in the above formula,

3=4\pi 6^2\frac{dr}{dt}

\frac{1}{48\pi}=\frac{dr}{dt}

The rate rate of change of radius is \frac{1}{48\pi} inches per second when the diameter is 12 inches.

When d=16

3=4\pi 8^2\frac{dr}{dt}

\frac{3}{256\pi}=\frac{dr}{dt}

Thus, the radius is changing more rapidly when the diameter is 12 inches.

5 0
3 years ago
Christina earns $250 a week. To budget money, she pays $135 in bills each week. How much money does Christina have left at the e
Rama09 [41]

Answer:

460 USD

Step-by-step explanation:

monthly earnings = 250 x 4 = 1000

monthly bills = 135 x 4 = 540

end of month = 1000 - 540 = 460 USD

7 0
3 years ago
Other questions:
  • WILL MARK BRILLIANT !!<br><br><br> Calculate the sales tax of 6.35% on a bill of $45.25 .
    15·1 answer
  • Gilda walks to the train station. If she walks at the rate of 3 mph, she misses her train by 7 minutes. However, if she walks at
    13·2 answers
  • PLEASE HELP ASAP! WILL UPVOTE!
    14·1 answer
  • Please can someone help!
    6·1 answer
  • First question, Deangelo babysits for his neighbor. Over a two week long time, he babysits 3.8 hours the first week and 5.25 hou
    15·1 answer
  • PLEASE HELP if you can
    13·1 answer
  • Find the value of x and y
    14·2 answers
  • At 10:00 a.m. the temperature is –3.4°F. The temperature increases 0.5°F each hour for the next 6 hours. If the temperature drop
    14·1 answer
  • Which graph represents the function f (x) = StartFraction 2 Over x minus 1 EndFraction + 4?
    10·2 answers
  • Find positive and negative coterminal angles for -240
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!