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

Evaluate the exponent expression for a = –2 and b = 3.

Answers

Answer:

The choose B) -9/8

Step-by-step explanation:

[tex] \frac{ - 2a ^{ - 3 } {b}^{2} }{a} \\ \frac{ - 2( - 2)^{ - 3} {3}^{2} }{ - 2} \\ \frac{ - 2(9)}{ - 2( - 8)} = - \frac{9}{8} [/tex]

I hope I helped you^_^

Answer:

- 9/8

Step-by-step explanation:

-2a^-3b^2/a where a = -2 and b = 3

-2(-2)^-3(3)^2/(-2)

-2(- 1/8)(9)/(-2)

-2(- 9/8)/(-2)

9/4/(-2) or…

2.25/(-2)

-1.125 or - 9/8

The graph of a linear function passes through the points (-
3, -4) and (2, -1)
Find the slope of this function?

Answers

Answer:

3/5

Step-by-step explanation:

y2 - y1 / x2 - x1

-1 - (-4) / 2 - (-3)

3/5

3/5 is the slope.

If an atom has 12
positively-charged
protons and 12
negatively charged
electrons, what is its
total charge?

Answers

Answer:

if both the electron and proton have the same number then the charge of an atom is neutral because each proton executes each neutron

What is this expression in simplified form?

Answers

Answer:

B is answer.

Step-by-step explanation:

B is answer.

The answer is B you multiply -6 times 3 to get -18 and 2 times 5 is 10

Based on your observations, what is the relationship between a linear pair and supplementary angles?

Answers

Answer:

linear pairs add up to 360 degrees and so does supplementary angles

Answer:

If two angles form a linear pair, then the angles are also supplementary.

Step-by-step explanation:

The projected worth (in millions of dollars) of a large company is modeled by the equation w = 241(1.03) The variable t represents the number of years since
2000. What is the projected annual percent of growth, and what should the company be worth in 2012?

Answers

B 333 mil because 241 would be b

Answer:

I do this program too, do you have any apps/websites that help with this program??

Step-by-step explanation:

Can Anyone help me with this, please? :00

Answers

Answer:

Option C is your answer

Step-by-step explanation:

please mark as brainlyest

Help find the measure of of the angle A,
Angle b
Angle c
Angle d
Angle e
Angle f
Angle g
Use degrees.

Answers

Answer:

160 degrees

Step-by-step explanation:

starting with the 110 degrees angle. the unnamed angle to the right of the 110 degrees is simply the complement of 110 to 180 degrees = 70 degrees.

then B is actually 180 - 90 - 70 = 20 degrees

and then A is the complementary angle of these 20 degrees to 180 degrees = 160 degrees.

- Three times the quantity two decreased by x is nine.

Answers

Step-by-step explanation:

3(2-x)=9

this is the answer to the statement

The expression three times the quantity two decreased by x is nine is - 1

A quantity two decreased by x can be expressed thus :

(2 - x)

Multiplying the quantity by 3 :

3(2 - x)

The expression can be written Mathematically as thus : 3(2 - x) = 9

The expression can be expanded further as :

3(2 - x) = 9

6 - 3x = 9

Collect like terms

-3x = 9 - 6

-3x = 3

x = (3 ÷ -3)

x = - 1

Therefore, the expression equates to - 1

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What is the equation of a line parallel to y=1/3x-4 that passes through (9,8)?

Answers

Step-by-step explanation:

Given line y=1/3x-4

slope of given line m=1/3

Slope of required line :

m=1/3

As lines are parallel then slope of lines are equal.

Using point slope form:

y-y1=m(x-x1)

p(x1,y1)=(9,8)

y-8=1/3(x-9)

3y-24=x-9

x-3y-9+24=0

x-3y+15=0

Note:if you need to ask any question please let me know.

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

Find the unit rate. 7 square foot in - hour

Answers

i need more info. Is this the whole question?

Someone help me please!!!

Answers

Answer:

Second one

Step-by-step explanation:

By is postive and C is positive so there wouldn't be any negatives or minus signs

Answer:

The Second One!

Step-by-step explanation:

What is the value of the expression when n = 3?
-2 n(5 + n-8-3n)
12
24
42
ОО
54

Answers

I’m trying to figure this out too

Answer:

The value = 54

Step-by-step explanation:

–2n(5+n–8–3n) = –2(3)(5+3-8-3(3)) = –6(5+3-8-9)=–30–18+48+54=54

I hope I helped you^_^

Nine times the difference of a number and 4 is the same as the product of 2 and the same
number plus 10. What is the number?

Answers

Answer:

x = 8

Step-by-step explanation:

9(x - 4) = 2(x + 10)

9x - 36 = 2x + 20

7x = 56

x = 8

Please mark as brainliest :)

The ________ is the actual population of individuals, or clusters, from which a random sample will be drawn.

Answers

The SAMPLING FRAME is the actual population of individuals, or clusters, from which a random sample will be drawn.

I need help with this problem.

How do I do it?

Answers

Answer:

20

Step-by-step explanation:

For the area of a rectangle we use A = L* W

We know area or A = 420

and we know length or L = 21

Now we need to find the width or W

(420) = (21) * W

Divide both sides of the equation by 21 to isolate the variable.

That leaves us with:

W = 20

In the Cartesian coordinate system, the x-akis is horizontal.

A.True
B. False

Answers

Answer:

A. True

Step-by-step explanation:

In the Cartesian coordinate system, the x-axis is the horizontal line while y-axis is the parallel line.

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

The leaning tower of Pisa is approximately 179 ft in “height” and is approximately 16.5 ft out of plumb. Find the angle at which it deviates from the vertical.

Answers

The angle at which the leaning tower of Pisa deviates from the vertical is approximately 5.31 degrees.

To find the angle at which the leaning tower of Pisa deviates from the vertical, we can use the concept of tangent function.

First, we need to calculate the distance that the top of the tower is displaced from the vertical axis. This can be done using the Pythagorean theorem, which states that the displacement (d) is equal to the square root of the height of the tower (h) squared plus the amount the tower is out of plumb (p) squared:

d = √(h² + p²)

d = √(179² + 16.5²)

d = 180.14 ft

Next, we can use the tangent function to find the angle of deviation (θ):

tan(θ) = p/h

tan(θ) = 16.5/179

θ = tan⁻¹(16.5/179)

θ ≈ 5.31 degrees

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Divide.
10.12 105 so yeah help

Answers

Answer:

0.0001012

Step-by-step explanation:

I have explained the solution on paper step by step! but I am typing this to get the solution. to 20 characters

Find a2 and a3 for the geometric sequence 4, a2, a3, 108.

Answers

9514 1404 393

Answer:

  a2 = 12

  a3 = 36

Step-by-step explanation:

Terms of a geometric sequence have a common ratio. If we call that ratio r, then we have ...

  a2 = 4r

  a3 = (a2)r = 4r^2

  108 = (a3)r = 4r^3

  27 = r^3 . . . . . . . . . . . divide by 4

  3 = r . . . . . . . . . . cube root

__

  a2 = 4(3) = 12

  a3 = 12(3) = 36

Does this scatter plot show a positive trend, a negative trend, or no trend?

Answers

Answer:

This shows no trend.

Step-by-step explanation:

Answer:

No Trend

Step-by-step explanation:

The scatter plot is everywhere and there is no pattern within it therefore it has no trend.

Hope it helps

what is the median of the number 10 12 13 15 16 19 25?

Answers

Answer:

15 is the middle number

Step-by-step explanation:

BECAUSE IF YOU COUNT FROM THE LEFT AND RIGHT AND WHICH NUMBER APPEARS IN THE MIDDLE IS YOUR MEDIAN

Answer:

15

Step-by-step explanation:

this asks for the median, and not the mean value.

please notice that these 2 values are often if not mostly different from each other.

the median just defines the middle of the value interval, so that half of the different values are left, and half are right of that median value.

here we have 7 values. do we find one, so that 3 other values are smaller, and 3 other values are bigger than that ?

that is 15.

10, 12, 13 are smaller.

16, 19 and 25 are bigger.

so, 15 is the median.

I will mark as brainliest:)

Answers

Answer:d

Step-by-step explanation:

Jenna’s monthly monetary income is $1,200. Her total spending last month was $1,400. Why would Jenna need a budget?

Answers

Answer:

Because her spending exceeds her monthly income, Jenna needs a budget to avoid spending money she does not have.

Step-by-step explanation:

Jenna need a budget because her monthly income are less than the spending amount.

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Jenna’s monthly monetary income is $1,200.

And, Her total spending last month was $1,400.

Here, We have;

⇒ 1200 < 1400

Thus, Jenna need a budget because her monthly income are less than the spending amount.

Therefore, Jenna need a budget because her monthly income are less than the spending amount.

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make d the subject of the formula h= d/3 + 2

Answers

Answer:

d= 3h-6

Step-by-step explanation:

h= d/3+2

h-2= d/3

d= 3(h-2)= 3h-6

Answer:

d = 3h - 6

Step-by-step explanation:

[tex]h = \frac{d}{3} + 2[/tex]

subtract 2 on all sides :

[tex](h) - 2 = (\frac{d}{3} + 2) - 2 \\ \\ h - 2 = \frac{d}{3} [/tex]

multiply 3 on all sides:

[tex](h - 2) \times 3= \frac{d}{3} \times 3 \\ \\ 3(h - 2) = d[/tex]

open bracket:

[tex]d = 3h - 6[/tex]

Last week Zurina worked the following days and times:

Day 1: 4 hours, 15 minutes
Day 2: 5 hours, 0 minutes
Day 3: 6 hours, 45 minutes

Find Zurina's total time worked in decimal hours. (4 points)
14.45
15.60
16.00

Answers

Answer:

46 hours and 5 minutes she worked

Answer is 15.60

we can say 4h and 15 min is 4.15

4.15 + 5.00 + 6.45 =

15.60

so the answer would be B

please mark me as a brainliest:)

1.A pile of 15 boxes is 3 metres high. What is the depth of each box?

2.An angle measuring 60 degrees is measured as 62 degrees. What is the percentage error correct to 3 significant figures?

solve all for brainiest

Answers

Answer:

#1

The depth of each box:

3 m / 15 = 300 cm / 15 = 20 cm

#2

The error is:

62 - 60 = 2 degrees

The percentage error:

2/60*100% = 3.33% (3 sf)

Answer:

#1

1 m = 100 cm

3 m = 3 × 100 = 300 cm

Depth of one box = 300/15 = 20 cm

#2

Percentage error = Error/Real measure × 100

(62 - 60)/60 × 100

2/3 × 5

10/3

3(in significant figures)

Restaurant​ A's chicken salad contains the same number of grams of fat as the chicken salad of restaurant C. Restaurant​ B's chicken salad contains 8 more grams of fat than restaurant​ A's chicken salad. If the total amount of fat in all three salads is 77 ​grams, find the number of grams of fat in each salad.

Restaurant​ A's chicken salad has grams of fat.
Restaurant​ B's chicken salad has grams of fat.
Restaurant​ C's chicken salad has grams of fat.

Answers

Answer:

Restaurant A and C: 23 grams of fat

Restaurant B: 31 grams of fat

Answer:

Restaurant A's chicken salad has  7.7 grams of fat.

Restaurant​ B's chicken salad has  61.6 grams of fat.

Restaurant​ C's chicken salad has  7.7 grams of fat.

Step-by-step explanation:

Restaurant A = C

Restaurant B = 8 × Restaurant A

Total Grams of Salad = 77

Let Reataurat A and C be x

and Reataurant B be 8x

so

A + B + C = 77

x + 8x + x = 77

2x + 8x = 77

10x = 77

x = 77 ÷ 10

x = 7.7

Restaurant A's chicken salad has  7.7 grams of fat.

Restaurant​ B's chicken salad has  61.6 grams of fat.

Restaurant​ C's chicken salad has  7.7 grams of fat.

If u want to crass check so

7.7 + 61.6 + 7.7 =

69.3 + 7.7 =

= 77

7. After 8 months, Joellen has lost 75 pounds. This is a 30% decrease in her starting weight. Find
her starting weight.

Answers

Answer:

Started 100% = x pounds

30% = 75 pounds

x= 75*100÷30= 250 pounds

Starting Weight = 250 pounds

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

30% = 75 pounds

100% = 250 pounds

The starting weight was 250 pounds.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

30% decrease = 75 pounds

Starting weight = 100%

Now,

30% = 75

Multiply 100/30 on both sides.

100/30 x 30% = 100/30 x 75 pounds

100% = 10/3x 75 pounds

100% = 10 x 25 pounds

100% = 250 pounds

Thus,

The starting weight was 250 pounds.

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