A tennis match requires that a player win three of five sets to win the match. If a player wins the first two sets, what is the probability that the player wins the match, assuming that each player is equally likely to win each set

Answers

Answer 1

Using it's concept, it is found that there is a 0.875 = 87.5% probability that the player wins the match.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, these following outcomes result in the player winning the match:

Wins the third set, with 0.5 probability.Loses the third set but wins the fourth, each with 0.5 probability.Loses the third and fourth sets but wins the fifth, each with 0.5 probability.

Hence, the probability that he wins the match is given as follows:

p = 0.5 + 0.5² + 0.5³ = 0.875.

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Related Questions

Please Help Me With These Problems!!
4. The front wheels on DeMarius’ car are divided into sectors of equal area. The radius of each wheel is 8 inches. The area painted blue is twice the area painted green. The area painted green is half the area painted red. What is the area painted red on one of the front wheels? Round your answer to the nearest hundredth.

5. The rear wheels of DeMarius’ car complete 4/5 of a rotation for every full rotation of a front wheel. What is the radius, in feet, of a rear wheel on the car? Write your answer as a simplified fraction.

6. DeMarius’ original design for his car used rear wheels with a radius of 12 inches. What is the measure of the central angle of this rear wheel such that the arc length is equivalent to that of a full rotation of the rear wheel that is actually used on DeMarius’ car?

Answers

The area painted red on one of the front wheels on DeMarius’ car will be 80.42 inches².

How to calculate the area?

From the information given, the The front wheels on DeMarius’ car are divided into sectors of equal area and the radius of each wheel is 8 inches. The area will be:

= 2/5 × πr²

= 0.4 × 3.14 × 8²

= 80.42 inches²

The radius, in feet, of a rear wheel on the car will be:

r1(2π) = r2(2π)

8(2π) = r2(8/5)(2π)

16 = r2(8/5)

r = 5/8 × 16

r = 10 inches

r = (5/6) feet

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jim has a dog. jim buys 6 bags of dog biscuits. there are 27 biscuits in each bag of dog biscuits. jims dog eats 5 dog biscuits each day. has jim brought enough dog biscuits for 4 weeks. you must show how you got your answer

Answers

Answer:

i will give it to you

Step-by-step explanation:

that's it for you dear

The relationship between food purchased and food eaten by dogs can be written as, 162 biscuits ≥ 80 biscuits

What is multiplication?

The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the components that are multiplied are referred to as the factors.

First, let's calculate the total number of dog biscuits that Jim has bought:

= 6 bags × 27 biscuits per bag

= 162 biscuits

Next, let's calculate how many biscuits the dog will eat in 4 weeks:

= 4 weeks × 5 biscuits per day

= 20 biscuits per week

20 biscuits per week × 4 weeks = 80 biscuits

So, Jim has bought 162 biscuits and his dog will eat 80 biscuits in 4 weeks. This means that Jim has brought enough dog biscuits for his dog for 4 weeks.

162 biscuits ≥ 80 biscuits

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Just need the answer fast pls help

Answers

[tex]\bold{ANSWER:}[/tex]
OPTION D

[tex]\bold{EXPLANATIONS:}[/tex]

Answer:

Answer is D. [tex]\frac{121}{49}a^8b^2[/tex]

Step-by-step explanation:

We expand the powers.

[tex]\frac{11}{7}^2*(a^4)^2*(b)^2\\\frac{11}{7}*\frac{11}{7}*(a^4)(a^4)*(b*b)\\\frac{121}{49}*(a^8)*(b^2)[/tex]

when doing variable power you add them together.

a^4*a^4=a^(4+4) , b^1*b^1=b^(1+1)

PLEASE HELP!!

BRAINLIEST

Answers

Answer: 26 + 13 + 26 + 13 + x =180

Step-by-step explanation:

Name the polynomial by degrees and the number of
terms.
7x^4+ 7x^3 +10x

Answers

Answer:

Fourth-degree trinomial

Step-by-step explanation:

7x⁴ + 7x³ + 10x

There are three terms, and the biggest degree (exponent) is 4. Therefore, this is a fourth-degree trinomial.

Note:

A polynomial with one term: monomialA polynomial with two terms: binomialA polynomial with three terms: trinomialA polynomial with four or more terms: polynomial

Hope this helps!

What is the measure of ∠3?
Question 2 options:

56°

73°

51°

107

Answers

Answer: The Answer for part 1 is 73 The answer for part 2 is 51

I hoped this helped also (im only 14 so if u see this ur doing great)

Step-by-step explanation:

The most concise notation to use to define function parameters x and y as double is __________. Group of answer choices

Answers

Answer is double x,y

the diameter of a semicircle is 24.6 feet. What is the semicircles radius?

Answers

Answer:

12.3 feet

Step-by-step explanation:

all you have to understand is that a radius is half the diameter....

24.6/2=12.3

( what’s the better deal ) please help me with this, i’ve been trying for a long time

Answers

Answer:

Brand A is the better deal!

Step-by-step explanation:

Let's start by comparing.

We know brand B has the following cost: 5 ounces = $3.75

10 ounces $7.50 and 16 ounces = $12

Now check the graph.

6 ounces cost $3

12 ounces cost $6

20 ounces cost $10

I don't think we need to look any further but brand A is the better deal!

+
Write the equation of a line that passes through the points Which equations represent a line that passes through
shown in the table.
the points given in the table? Check all that apply.
y
B. y-2=-6(x + 10)
y-2=-1(x+10)
-10
2
y-1--2(x +4)
-4
1
y=-6x - 58
8
y=-x+
1
14
y=-2x+5
4
-1 -2
6

Answers

Answer:

2. y - 2 = -1/6(x + 10)

3. y - 1 = -1/6(x + 4)

5. y = -1/6x + 1/3

Step-by-step explanation:

hope this helps!

QUESTION 13
An art student wants to enlarge a triangle with the sides 8, 8, and 14 cm. The new
triangle will have a measurement of 21 cm on its longest side. How long will the
other sides be on the new triangle?
O 12 cm
O24 cm
O 15 cm
21 cm

Answers

Answer:

12 c.m. and 12 c.m.

Step-by-step explanation:

model/actual = scale factor (same thing for dilation)

21/14 = 3/2

3/2*8 =4*3 =12

Predict the number of purple jellybeans in a bag of 200 jellybeans if a random sample of 25 resulted in 4 purple jellybeans.

Answers

Answer:

I am going to say 182

Step-by-step explanation:

Which line will have no solution with the parabola y – x 2 = x2?

Answers

Step-by-step explanation:

y = –3x –3

y = –2x –3

y = 2x –3

y = 3x –3

Answer:

the correct answer is C.) y = 2x -3

Step-by-step explanation:

edge 2022

x^2-5x-6
X^2+3x-40
x^2-7x-30

Answers

Assuming that these are seperate equations:

Problem 1: x^2-5x-6Problem 2: x^2+3x-40Problem 3: x^2-7x-30

GROUPING (TOPIC)

Problem 1:

1) Use the sum-product pattern.

- 5x - 6

x² + x - 6x - 6

2) Common factor from the two pairs.

x² + x - 6x - 6

x (x + 1) - 6 (x + 1)

3) Rewrite in factored form.

x (x + 1) - 6 (x + 1)

(x - 6) (x + 1)  ----> Answer

Problem 2:

1) Use the sum-product pattern.

x² + 3x - 40

x² + 8x - 5x - 40

2) Common factor from the two pairs.

x² + 8x - 5x - 40

x (x + 8) - 5 (x + 8)

3) Rewrite in factored form.

x (x + 8) - 5 (x + 8)

(x - 5) (x + 8) ----> Answer

Problem 3:

1) Use the sum-product pattern.

- 7x - 30

x² + 3x - 10x - 30

2) Common factor from the two pairs.

x² + 3x - 10x - 30

x (x + 3) - 10 (x + 3)

3) Rewrite in factored form.

x (x + 3) - 10 (x + 3)

(x - 10) (x + 3) ----> Answer

Cheers,

ROR

A group of doctors are conducting an experiment to test a new nutritional supplement. they randomly selected 600 subjects, assigning 300 subjects to receive the supplement and 300 subjects to receive a placebo. the doctors are unaware of which subjects are assigned to each treatment group. this experiment is because know which treatment group each subject is in.

Answers

This experiment is neither the subject nor the researcher because knows which treatment group each subject is in.

What is an experiment?

A scientific procedure undertaken to make a discovery, test a hypothesis, or demonstrate a known fact.

A group of doctors are conducting an experiment to test a new nutritional supplement they randomly selected 600 subjects, assigning 300 subjects to receive the supplement and 300 subjects to receive a placebo.

The doctors are unaware of which subjects are assigned to each treatment group. this experiment is neither the subject nor the researcher because know which treatment group each subject is in.

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Help!! I need the answer quick. Im really bad at fractions-

Answers

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]

Let's evaluate ~

[tex]\qquad \tt \dashrightarrow \:6 \frac{5}{8} + 4 \frac{3}{4} [/tex]

[tex]\qquad \tt \dashrightarrow \: \frac{53}{8} + \frac{19}{4} [/tex]

[tex]\qquad \tt \dashrightarrow \: \frac{53 + 38}{8} [/tex]

[tex]\qquad \tt \dashrightarrow \: \frac{91}{8} [/tex]

[tex]\qquad \tt \dashrightarrow \: 11\frac{3}{8} [/tex]

given:

[tex]6 \frac{5}{8} + 4 \frac{3}{4} [/tex]

to find:

the simplest form.

solution:

[tex] \frac{53}{8} + \frac{19}{4} [/tex]

[tex] = \frac{(53 \times 4) + (19 \times 8)}{8 \times 4} [/tex]

[tex] = \frac{212 + 152}{32} [/tex]

[tex] = \frac{364}{32} [/tex]

[tex] = 11 \frac{3}{8} [/tex]

Rafael has a bag of marbles, there are 5 green marbles, 6 red marbles, and 4
5
white marbles. Rafael picks a marble out of the bag without looking. What is the
probability of P(red n white)?

Answers

The probability of getting red marble from the consider withdrawal of a marble is 0.107 approximately.

How to calculate the probability of an event?

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

Given that:

The bag contains:

5 green marbles,6 red marbles,45 white marbles.Rafael draws one marble at random

Since he draws one marbel, thus, only one colored marble would come out.

Let we suppose we've to find P(red marble coming out).

Then, if we take:

E = event of Rafael drawing a red marble,

then E can be done in 6 ways as there are 6 red marbles to choose from.

Also, withdrawal of 1 marble (of any color) can be done in (5+6+45 = 56) 56 ways.

Thus, we get:

[tex]P(E) = P(\text{Choosing a red marble}) = \dfrac{6}{56} = \dfrac{3}{28} \approx 0.107[/tex]

Thus, the probability of getting red marble from the consider withdrawal of a marble is 0.107 approximately.

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Researchers at a drug company are testing the duration of a new pain reliever. The drug is normally distributed with a mean duration of 240 minutes (4 hours) and a standard deviation of 40 minutes. The drug is administered to a random sample of 10 people. (Round means, standard deviations, and z-scores to the nearest hundredth, if necessary.)

Answers

The population mean of the sampling by the researcher is 240, the standard deviation is 40 and the z score is -2.

What is a mean?

It should be noted that the mean is the average of the numbers that are given in a population. The z score is -2 as it measures the relationship between the means.

The probability that the drug will wear off between 200 and 220 minutes will be:

= P(Z < -1.58) - P(Z < -3.16)

= 0.0571 - 0.0008

= 0.0563.

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the rectangular prism dimensione are in feet (ft). what is the volume, in cubic feet, of the rectangular prism?

Answers

Answer: 160

Step-by-step explanation: The formula for a rectangular prism is (Base)(Width)(Height). The length is 10 and the height and width are both 4 because it is a square.

People with heart arrhythmia are known to have a resting pulse rate of 110 with a standard deviation of 5. With a new
experimental treatment, a group of 100 patients who suffer from heart arrhythmia has a resting pulse rate lowered to
108. Does this provide significant evidence that the experimental medication is effective at reducing resting pulse rate?
A. Yes, the test value is in the rejection region
B. No, the test value is not in the rejection region
C. Yes, the test value is not in the rejection region
OD. No, the test value is in the rejection region

Answers

The answer will be option A Yes, the test value is in the rejection region.

What is Z-score?

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

here the formula will be

[tex]Z=\dfrac{X-\mu}{\dfrac{\sigma}{\sqrt {n}}}[/tex]

[tex]Z=\dfrac{100-110}{\dfrac{5}{\sqrt{100}}}[/tex]

[tex]Z=-20[/tex]

Z critical value =-1.645

Z calculated> Z critical value so we will reject.

Hence the answer will be option A Yes, the test value is in the rejection region.

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(3 + root 3) (2+root 2) answer pls

Answers

Answer:

6+(3 root2)+(2 root3)+ root6

Step-by-step explanation:

good luck

-(3/4)+1 7/8 divided by 1/2 =n

Answers

first off, let's convert the mixed fraction to improper fraction and then proceed, let's notice that by PEMDAS or order of operations, the multiplication is done first, and then any sums.

[tex]\stackrel{mixed}{1\frac{7}{8}}\implies \cfrac{1\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{15}{8}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{3}{4}~~ + ~~\cfrac{15}{8} \div \cfrac{1}{2}\implies -\cfrac{3}{4}~~ + ~~\cfrac{15}{8} \cdot \cfrac{2}{1}\implies -\cfrac{3}{4}~~ + ~~\cfrac{15}{4} \\\\\\ \cfrac{-3+15}{4}\implies \cfrac{12}{4}\implies 3[/tex]

The equation v=68t represents the number of views v for a video after t hours. Identify the independent and dependent variables.

Answers

Answer(s):

Dependent variable: vIndependent variable: t

What is the dependent variable of an equation?

The dependent variable of an equation is the variable that is completely isolated on one side.

What is the independent variable of an equation?

The independent variable is the variable that is not isolated. The independent variable can either have a cooeficient or has some operation (+ - × ÷) included on that side of the equation.

Determining the independent and dependent variable

In this equation, we can see that "v" is completely isolated on one side and "t" has a cooeficient of 68. Thus, the dependent variable is "v" and the independent variable is "t".

HELP PLEASE FOR PRE-ALGEBRAIC

Answers

Answer:

Your answer is Vertical.

Step-by-step explanation:

Please help!!! Eitan randomly selected volcanoes to travel to and study. After traveling, he had seen 13 cinder cone volcanoes,
18 shield volcanoes, and 6 stratovolcanoes.

Answers

Answer:

cinder cone: estimated probability = 0.35

shield: estimated probability = 0.49

stratovolcano: estimated probability = 0.16

Step-by-step explanation:

Given that he had seen 13 cinder cone volcanoes, 18 shield volcanoes, and 6 stratovolcanoes.

So the total number of volcanoes are 13 + 18 + 6 = 37

So the estimated probability of Cinder cone is \frac{13}{37}\approx 0.35

37

13

≈0.35

The estimated probability of Shield is \frac{18}{37}\approx 0.49

37

18

≈0.49

The estimated probability of Stratovolcano is \frac{6}{37}\approx 0.16

37

6

≈0.16

Below is the completed table

50pt:
You have 25 Hot Wheels vehicles. Your Hot Wheels race track has 5 lanes. What is the least amount of races needed to find the fastest Hot Wheels vehicle? What is the least amount of races needed to find the Top 3 fastest Hot Wheels vehicles?

Answers

5 is the least you need to find the fasted car

HELP PLS HURRY!!!!!!

Answers

Answer:

The median of the data is 6

The Lower Quartile is 2

The upper quartille is 3

The mimimum value is 15

The maximum value is 9

The area of the regular hexagon is 10.4 in.2. a regular hexagon has side lengths of 2 inches and an area of 10.4 inches squared. an apothem is shown. what is the measure of the apothem, rounded to the nearest tenth of an inch? 1.3 in. 1.7 in. 2.0 in. 3.4 in.

Answers

Answer:

  (b)  1.7 in

Step-by-step explanation:

The area of a regular polygon in terms of perimeter and apothem is given by the formula ...

   A = 1/2Pa

For a hexagon, the perimeter is 6 times the side length, so this becomes ...

  A = 1/2(6s)a = 3sa . . . . . for side length 's' and apothem 'a'

__

Solving for the apothem, we find ...

  a = A/(3s)

For the given values of area and side length the apothem is ...

  a = 10.4/(3·2) = 1.733... ≈ 1.7 . . . inches

The apothem, rounded to tenths, is 1.7 inches.

Answer:

1.7 in.

Step-by-step explanation:

E2020 Geometry B!! :3

ruben is buying bricks for a project. he knows that 5 bricks weigh 26 1/4. he wants to know the weight of 24 bricks

Answers

Answer:

the weight of 24 bricks is :

[tex]124\frac{4}{5}[/tex]

Step-by-step explanation:

[tex]26\frac{1}{4} =26+\frac{1}{4} =\frac{26\times 4}{4} +\frac{1}{4} =\frac{105}{4}[/tex]

It is clear that there is a proportional relationship between the number of bricks and their weights then :

[tex]\frac{26\frac{1}{4} }{5} =\frac{x}{24} \Longrightarrow \frac{\left( \frac{105}{4} \right) }{5} =\frac{x}{24} \Longrightarrow \frac{26}{5} =\frac{x}{24}[/tex]

[tex]\Longrightarrow x=\frac{26\times 24}{5} =\frac{624}{5} =124\frac{4}{5}[/tex]

help me im from VietNam

Answers

Answer:

Step-by-step explanation:

Adding and subtracting expressions:

a) M + (5x² -2xy) = 6x² +9xy - y²

                      M = 6x² + 9xy - y² - (5x² - 2xy)

Remove the parenthesis by mulplying each term of 5x² - 2xy by (-1) as (-1) is outside the parenthesis

                           = 6x² + 9xy - y² - 5x² + 2xy

Combine ( add or subtract) like terms.

                           = 6x² - 5x² + 9xy + 2xy - y²

                           = x² + 11xy - y²

Hint: Like terms have same variable with same power.

Here, like terms are (i) 6x² and (-5x²)  (ii) 9xy and 2xy

b)               (3xy - 4y²) - N = x² - 7xy + 8y²

                   3xy - 4y²       = (x² - 7xy + 8y²) + N

3xy - 4y² - (x² - 7xy + 8y²) = N

3xy - 4y² - x² + 7xy - 8y² = N

3xy + 7xy -4y² - 8y² -x²   = N

          10xy -12y²  - x²     = N

Answer: N =  10xy - 12y² -x²

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