Fred and Gina are playing tennis. The first player to win 2 sets wins their match. Fred has a 3/5 chance to win each set while Gina has a 2/5 chance. What is the probability that the match goes three sets until someone wins?

Answers

Answer 1

Answer:

60/125 which can be reduced to 12/25

Step-by-step explanation:

Gina wins

2/5 * 2/5 = 4/25

3/5 * 2*5 * 2/5 = 12 /125

2/5 * 3/5 * 2/5 = 12/125

Fred Wins

3/5 * 3/5 = 9/25

2/5 * 3/5 * 3/5 = 18/125

3/5 * 2/5 * 3/5 = 18/125

P(3 sets) = (18 + 18 + 12 + 12)/125 = 60/125

P(2 sets) = (20 + 45)/125 = 65/125

I found the probability of 2 sets so I could add the results together to see if the probability totals 1. It does. This question is done correctly.


Related Questions

Given a function described as the equation y = 4x - 4, what is y when x is 1, 2, and 3?​

Answers

Answer:

f(1) = 0

f(2) = 4

f(3) = 8

Step-by-step explanation:

Substitute the values for the variable x.

[tex]f(1)=4(1)-4\\f(1)=4-4\\f(1)=0\\\\f(2)=4(2)-4\\f(2)=8-4\\f(2)=4\\\\f(3)=4(3)-4\\f(3)=12-4\\f(3)=8[/tex]

When x= 1

y = 4(1) - 4

y = 0

when x = 2

y = 4(2) - 4

y = 4

when x = 3

y = 4(3) - 4

y = 8

find the y-intercept and x-intercept of the line. 2x+3y= -14

Answers

Answer:

X-intercept: (-7, 0)

Y-intercept: (0, -14/4)

Step-by-step explanation:

To find the intercepts plugin 0 for one variable and solve

2x+3(0)=-14

x=-7

2(0)+3y=-14

y=-14/3

Bernadette is a goalie and blocks the goal 20 out of 32 times. What is the experimental probability that Bernadette will block the goal on the next kick? Write your answer as a fraction, decimal, and percent.

Answers

Answer:

5/8 or 0.625 or 62.5%.

Step-by-step explanation:

20/32       Divide top and bottom by 4:-

= 5/8.

Please help me I nned help

Answers

Answer:

length*breadth*height

Solve for x: x + 8 = 15

Answers

Answer:

7

Step-by-step explanation:

x + 8 = 15

Subtracting 8 from both sides,

x = 15 - 8

=> x = 7

write two ratios that are equivalent to 1:1

Answers

Answer:

2:2 3:3

Step-by-step explanation:

ii) Ramesh asked me where I lived. (into direct speech)​

Answers

Answer:

Ramesh asked me,"where do you live?"

Ramesh said to me," where do you live".

if 5-3(2a+1)=-4+10, what is the value of a+2​

Answers

[tex]\\ \rm\Rrightarrow 5-3(2a+1)=-4+10[/tex]

[tex]\\ \rm\Rrightarrow 5-6a-3=6[/tex]

[tex]\\ \rm\Rrightarrow -6a+2=6[/tex]

[tex]\\ \rm\Rrightarrow -6a=6-2[/tex]

[tex]\\ \rm\Rrightarrow -6a=4[/tex]

[tex]\\ \rm\Rrightarrow a=\dfrac{4}{-6}[/tex]

[tex]\\ \rm\Rrightarrow a=\dfrac{2}{-3}[/tex]

Now

[tex]\\ \rm\Rrightarrow a+2[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{2}{-3}+2[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{2-6}{-3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{-4}{-3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{4}{3}[/tex]

Answer:

7/3

Step-by-step explanation:

5 - 3(2a+1) = -4 + 10

=> 5 - 6a + 3 = 6

=> 5 - 6 + 3 = 6a

=> 2 = 6a

=> 6a = 2

=> a = 2/6

=> a = 1/3

a + 2

1/3 + 2

=> 1/3 + 6/3

=> 7/3

Anton joined a golf club. He pays an annual membership fee of $895 and greens fee of $30 each time he plays golf. Last year he paid $2,065 as a total golfing fee. How many games did he play? Write and solve the equation.

Answers

So last year Anton paid $2,065 as a total golfing fee, that’s one year. Anton pays an annual membership fee of $895, that means he pays $895 each year for membership fee.
So subtract $895 from $2,065, you get $1,170 left.
Now every time Anton plays golf, he pays $30 for greens fee, he will be spending $30 each time he play.
So we would use division here, $1,170 divided by $30, you get 39.
Anton played 39 games last year.

The sum of a number and 3 is 6 less than twice that number.

Solve

Answers

Answer:

there are two operation end modes [ = , < ]

so, it remains an expression

Step-by-step explanation:

let the number be x :

[tex] \{(n + 3) = 6 \} < 2n[/tex]

The solution of the written expression, ''The sum of a number and 3 is 6 less than twice that number'' is 9.

Here,

The written expression, ''The sum of a number and 3 is 6 less than twice that number''.

We have to solve this expression.

What is Mathematical expression?

An expression consists of one or more numbers or variables along with one more operation.

Now,

Let a number is x.

By the given written expression, we can write the mathematical expression as,

x + 3 = 2x - 6

By solving;

x + 3 = 2x - 6

3 + 6 = 2x - x

9 = x

x = 9

Hence, the value of written expression is x.

Learn more about the mathematical expression visit:

https://brainly.com/question/1859113

#SPJ2

88.98 to the nearest tenth​

Answers

Answer:

89 is the answer

Step-by-step explanation:

88.98

= 89

9514 1404 393

Answer:

  89.0

Step-by-step explanation:

One way to round a number is to add half the place value you're rounding to, then truncate at the desired place value.

Here, we want to round to a tenth (0.1), so we first add half that value:

  88.98 + 0.05 = 89.03

Now, we throw away all digits after the tenths place.

  89.0 . . . . our rounded value

What is the best measurement to eastimate the volume of a juice box

Answers

1 : you would use a graduated cylinder . 2 : , you would use a yard stick or maybe a ruler if you are not able to find one. You can also use a meter stick.

Devaughn is 6 years younger than Sydney. The sum of their ages is 46 . What is Sydney's age?

Answers

52

if im wrong, sorry

if im right, yay

a long distance runner ran 10,000 meters in 28mins.work out his speed in (a)meters/min B. meters/sec​

Answers

answer:

Times it or multiply to get 2800000 then It should be B meter's by seconds.

Step-by-step explanation:

13. The following describes the incidence of mumps in the
United States from 1984 to 2004. From 1984 to 1985, there was
no change in the incidence of mumps, staying at about 1 case
per 100,000 people. Then there was a spike in the incidence of
mumps, which reached a peak of about 5.5 cases per 100,000
in 1987. Over the next year, there was a sharp decline in the
incidence of mumps, to about 2 cases per 100,000 people in
1988. Then, from 1988 to 1989, there was a small increase to
about 2.5 cases per 100,000 people. This was followed by a
gradual decline, which reached a minimum of about 0.1 case per
100,000 in 1999. For the next five years, there was no change in
the incidence of mumps. Sketch a graph of the function.
no
DIE
Incidence of mumps
(cases per 100,000 people)
0

Answers

Graphs can be created by inputting data in MS Excel and choosing a chart type that represents the type of data to display

Please find attached the required graph of the function of the Incidence of mumps (cases per 100,000 people)

The known data for the incidence of mumps is presented in the following table;

[tex]\begin{array}{|c|cc|}Year&&Incidence \ of \ Mumps \ per \ 100,000 \ People\\1984&&1\\1985&&1\\1987&&5.5\\1988&&2\\1989&&2.5\\1999&&0.1\\2004&&0.1\end{array}[/tex]

The data from the above table can be entered in MS Excel and a graph can be plotted as follows;

Enter the above data into Excel as shown in the above tableSelect all numerical values by clicking in the top left corner, hold down the right mouse click and drag to the bottom left cornerSelect the Insert option from the Options menuIn the Charts group, click on the down arrow beside the icon for the Insert Scatter (x, y), or Bubble ChartSelect Scatter with Straight Lines and Markers

Please find attached the required graph created with MS Excel

Learn more about plotting graphs here:

https://brainly.com/question/20623868

Evaluate the expression

Answers

Step-by-step explanation:

this is correct answer thank you

I give brainlist helPPPPPP

Answers

Answer:

Step-by-step explanation:

25.57, 123/5, 49/2, 241/10

g The weight of golden hamsters follows a normal distribution with a mean weight of 4.3 ounces and a standard deviation of 0.25. What is the probability that a randomly chosen hamster weighs less than 4.4 ounces

Answers

Let X be the random variable representing the weight of a hamster. Transform X to Z, which follows the standard normal distribution. We have

P(X < 4.4) = P((X - 4.3)/0.25 < (4.4 - 4.3)/0.25) = P(Z < 0.4) ≈ 0.6554

A prisoner is planning to escape from prison! The prison s gate consists of horizontal and vertical bars that are spaced one unit apart so the area of each hole between the bars is 1 x 1. The prisoner manages to remove certain bars to make some bigger holes. Determine the area of the largest hole in the gate after the bars are removed in java

Answers

Answer:

2

Step-by-step explanation:

what is the length of an arc subtended by an angle of 1.25 radians in a circle with a diameter of 24 cm?​

Answers

Answer:

15 cm.

Step-by-step explanation:

Recall that the arc-length of a circle is given by the formula:

[tex]\displaystyle s = r\theta[/tex]

Where r is the radius and θ is the measure of the central angle in radians.

The circle has a diameter of 24 cm, so its radius is 12 cm.

And its central angle is 1.25 radians. Hence, the arc-length will be:

[tex]\displaystyle s = \left(12\right)\left(1.25\right) = 15\text{ cm}[/tex]

In conclusion, the arc-length for a circle with a diameter of 24 cm subtended by a central angle of 1.25 radians is 15 cm.

-8b+x evaluate the expression 1B equals five and X equals -7

please help

Answers

Answer:

-47

Step-by-step explanation:

Can anyone help me out with this? (recursive formulas)

Answers

Step-by-step explanation:

[tex]b(1) = 4[/tex]

Since this is an arithmetic sequence, notice that if you subtract b(1) (i.e., 4) from b(2)(i.e., 22), you get 18. Likewise, if you subtract b(2) from b(3) you also get 18. Therefore,

[tex]b(n) = b(n-1) + 18[/tex]

Multiply
(s - 5)(2s + 7)
(s - 5)(2s +7)=[ (Simplify your answer.)

(Answer quickly)

Answers

Answer:

Step-by-step explanation:

f: s*2s = 2s^2

o: s*7 = 7s

i: -5*2s = -10s

L: -5*7 = - 35

Combine

2s^2 - 3s - 35

A new car has a list price of ​$28,500 . Suppose that the dealer markup on this car is 10%. What is the​ dealer's cost?

Answers

Answer: 25650

Step-by-step explanation: 10% of 28500 is well 2850

28500-2850=25650

(if only i could get good rates on my car)

each of the figure below is made of the unit square which of the following figure has the maximum perimeter
6 question pls

Answers

Answer:

c is the answer

Plzzz helppppp!!!!!!! 20+PTS and brainliest!!!!!!!!!!!!!!!
Please show work!!!!!!!!!!!

Answers

Refer to the equation y=mx+c

union and intersection of sets

Answers

Answer:

The union of two sets contains all the elements contained in either set (or both sets). The union is notated A ⋃ B. The intersection of two sets contains only the elements that are in both sets. The intersection is notated A ⋂ B.

Answer:

Union

The union of a set A with a B is the set of elements that are in either set A or B. The union is denoted as A∪B. For example, if A is the set {♢,♡,♣,♠} and B is the set {△,♡,♠}, then A∪B={♢,♡,♣,♠,△}.

Intersection

Intersection of two given sets is the largest set which contains all the elements that are common to both the sets. To find the intersection of two given sets A and B is a set which consists of all the elements which are common to both A and B. The symbol for denoting intersection of sets is '∩'.

5. (09.06 MC)
The graphs of the polar curves r = sin e-2 and r = cos(20 + 3) are shown.
Find the area of R, which is the region inside r = sin 6-2, but outside r = cos(20 + 3). (10 points)
31.416
12.566
15.708
0 25.133

Answers

Answer:

12.566

Step-by-step explanation:

A = ∫1/2(r)^2dtheta from a - b = 0 to 2π

∫1/2(sin^2theta-4sintheta+4)dtheta

[9/4theta+2costheta-1/8sin2theta] from 0 to 2π…

when you solve this you get 14.137 without taking out the cos(2theta+3)

4. Tabatha is dining out at Mandee's and decides to get an order of curly fries,
chicken fingers, and a coca-cola. The total cost of the food with sales tax came to
$18.61. If Tabatha decides to give the cashier a 20% gratuity (tip), what does her
total bill come to?

Answers

$22.33
I would find 10% of 18.61
18.61 = 1.86 and multiply by 2 and add to 18.61

The sum of three times a number, x, and 12

Answers

Answer:

the number of the x is 5 and the number of the Y is 10

Step-by-step explanation:

school

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