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]
2 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]2 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
Each bucket holds 212
serg [7]

Answer:

5088

Step-by-step explanation:

212*24=5088

5 0
3 years ago
What does rotation do to the pre image of o create it’s image?
olga2289 [7]
The general rule for rotation of an object 90 degrees is (x, y) --------> (-y, x). You can use this rule to rotate a pre-image by taking the points of each vertex, translating them according to the rule, and drawing the image
3 0
3 years ago
What is 2 1/8 × 2 3/5 in the simplest form
crimeas [40]
<span><span>1/3</span> * (<span>1/2</span> - 3 <span>3/8</span>) = -<span>2324</span> ≅ -0.9583333</span>
4 0
2 years ago
Please help with math (30 points)
ikadub [295]

Here we have some problems about circles, the solutions are:

  • a) 490.6 yd^2
  • b) x = 15
  • c) x = 27

<h3>How to find the area of a circle?</h3>

We know that for a circle of diameter D, the area is given by:

A = pi*(D/2)^2

where pi = 3.14

In the image we can see that the diameter of the circle is 25 yd, replacing that in the area equation we get:

A = 3.14*(25yd/2)^2 = 490.6 yd^2

<h3>How to find the value of x?</h3>

<u>For the second image</u>, each line creates two 180° angles. So, if we look at the tilted line, we can see that it is divided in two angles, one of 37° and the other that depends of x, so we can write:

180° = 37° + (9x + 8)°

180° - 37° - 8°  = (9x)°

135°/9° = x = 15

So the value of x is 15.

For the last image:

Notice that we have a 90° angle denoted, then <u>the other 3 sections must add up to 270°.</u>

270° = 54° + (2x + 21)° + (5x + 6)°

Now we solve this for x:

270 - 54 - 21 - 6 = 2x + 5x

189 = 7x

189/7 = x = 27

x is equal to 27

If you want to learn more about circles, you can read:

brainly.com/question/25306774

8 0
2 years ago
Kristine lives in a region where a proportional income tax rate of 22% applies to everyone. What is the amount of tax she will p
Nitella [24]

Answer:27500

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • 11x+5+-11x+29.........
    6·2 answers
  • Can someone help me with this question please
    12·1 answer
  • 2 + 2 = ? idk the answer bro i need help
    7·2 answers
  • the figure formed by intersection of a solid with a plane parallel to the base of the solid is congruent to the base if the soli
    11·1 answer
  • Guys please help me I don’t understand
    12·1 answer
  • Find the volume of this prism 41cm2 11cm
    5·1 answer
  • How do you get a positive number out of-3(g-2)​
    15·1 answer
  • One car traveled 240 miles and drove 20 mph hour faster than a second car drove 160 miles. If the cars were traveling for the sa
    12·2 answers
  • The graph below shows the distance a car can
    14·1 answer
  • Question :
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!