A football team has a probability of .75 of winning when playing any of the other four teams in its conference. If the games are independent, what is the probability the team wins all its conference games?

Answers

Answer 1

Answer:

0.3164 = 31.64% probability the team wins all its conference games

Step-by-step explanation:

For each conference game, there are only two possible outcomes. Either the team wins it, or they lose. The probability of winning a game is independent of any other game. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A football team has a probability of .75 of winning when playing any of the other four teams in its conference.

The probability means that [tex]p = 0.75[/tex], and four games means that [tex]n = 4[/tex]

If the games are independent, what is the probability the team wins all its conference games?

This is P(X = 4). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{4,4}.(0.75)^{4}.(0.25)^{0} = 0.3164[/tex]

0.3164 = 31.64% probability the team wins all its conference games


Related Questions

Solve for x:
4(x - 4) + 4 - 10x = 30

Answers

Answer:

-7

Step-by-step explanation:

Answer:

x= -7

Step-by-step explanation:

A cylindrical container of disinfectant wipes with a radius of 1 inch and a height of 10 inches is sold for $3. A two-pack of disinfectant wipes each with the same dimensions is sold for $5. What is the difference in price per cubic inch?
a. $0.01
b. $0.02
c. $0.00
d. $0.09

Answers

Answer:

b. $0.02[tex]/in^3[/tex]

Step-by-step explanation:

Given

[tex]r =1in[/tex]

[tex]h = 10in[/tex]

[tex]Cost_{1pk} =\$3[/tex]

[tex]Cost_{2pk} =\$5[/tex]

Required

The difference in the price per [tex]in^3[/tex]

First, calculate the volume (V) of the cylinder

[tex]V = \pi r^2h[/tex]

[tex]V = 3.14 *1^2 * 10[/tex]

[tex]V = 31.4[/tex]

The unit cost of 1 pack is:

[tex]Unit_{1pk} = \frac{Cost_{1pk}}{V}[/tex]

[tex]Unit_{1pk} = \frac{\$3}{31.4in^3}[/tex]

The unit cost of 2 packs is:

[tex]Unit_{2pk} = \frac{Cost_{2pk}}{2*V}[/tex]

[tex]Unit_{2pk} = \frac{\$5}{2*31.4}[/tex]

[tex]Unit_{2pk} = \frac{\$5}{62.8in^3}[/tex]

The difference (d) is:

[tex]d = |Unit_{2pk} - Unit_{2pk}|[/tex]

[tex]d = \frac{\$3}{31.4in^3} - \frac{\$5}{62.8in^3}[/tex]

Take LCM

[tex]d = \frac{\$6 - \$5}{62.8in^3}[/tex]

[tex]d = \frac{\$1}{62.8in^3}[/tex]

[tex]d = \$0.0159/in^3[/tex]

Approximate

[tex]d = \$0.02/in^3[/tex]

Answer:

b)

Step-by-step explanation:

had it on my quiz also give other dude brainliest.

NO LINKS OR FILES. Explain how to evaluate 5p + (-6) when p = -4. Please give an explanation.

Answers

Answer:

-26

Step-by-step explanation:

5p + (-6)

Let p=-4

5(-4) + (-6)

Multiply

-20 +-6

Add

-26

Answer:

p=-4 which means that you do 5*-4-6 then you apply order of operations by multiplying first then you sub tract, so your answer is -26

Step-by-step explanation:

How do u do parabola

Answers

Answer:

Step-by-step explanation:

Finding the vertex or the end of the shape.

Find the y -intercept, (0,f(0)) ( 0 , f ( 0 ) ) .

Solve f(x)=0 f ( x ) = 0 to find the x coordinates of the x -intercepts if they exist.

Make sure that you've got at least one point to either side of the vertex. ...

Sketch the graph.

What is the value of n in the equation below?
Power with the same base

Answers

you didn’t show a picture :((

HELP ME PLEASE I ONLY HAVE 30 MINUTES

Answers

Dna made up of the same components

Manipulate the radius of the sphere, setting it to different values. in the table below, record each radius you chose and the exact volume of the sphere. Also calculate the decimal value of each volume, and verify that it matches the volume displayed by the tool.

Answers

Answer:

1,9,972

2,6,288

3,12,2304

Step-by-step explanation:

to make salsa andy needs 12 tomatoes and 4 jalapenos if Andy only has 9 tomatoes how many jalapenos should he use to make salsa?

A.1 jalapenos
B.3 jalapenos
C.4 jalapenos
D. 5 jalapenos

please I need this​

Answers

Answer:

B. 3

Step-by-step explanation:

Andy needs 1 jalapeno for every 3 tomatoes so if he only has 9, 9÷3=3

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Answers

Answer:

r =3.4 mm

Step-by-step explanation:

circumference of a circle = 2πr

21.3 = 2*3.14*r

21.3 = 6.28*r

21.3 / 6.28 = r

3.39 = r

3.4 = r

helppppppppppppppppppppppppppppppppp

Answers

Answer:

b. (1, 13).

Step-by-step explanation:

Here's a pic of my work. You can put either equation on the other side of the equal sign, because they both equal Y. therefore, they equal each other.

I think the answer is B

Consumer Reports indicated that the average life of a refrigerator before replacement is 14 years with a standard deviation of 2.5 years. Assume the age a refrigerator is replaced is normally distributed.
A.) State the random variable
B.) What is the probability that someone will keep a refrigerator fewer than 11 years before replacement?
C.) What is the probability that someone will keep a refrigerator more than 18 years before replacement?
D.) What is the probability that someone will replace a refrigerator between 8 and 15 years?
E.) Suppose a company guarantees refrigerators and will replace a refrigerator that breaks while under guarantee with a new one. However, the company does not want to replace more than 5% of the refrigerators under guarantee. For how long should the guarantee be made (rounded to the nearest tenth of a year)?
F.) If it turns out that 40$ of all new refrigerators need to be replaced withing 10.5 years, is there an issue with the manufacturing process? Have some numbers to back up your reasoning.

Answers

Answer:

a.) Average life of a refrigerator

b.) 0.1151

c.) 0.0548

d.) 0.6472225

Step-by-step explanation:

Given that :

Average life before replacement, mean, m = 14 years

Standard deviation, σ = 2 years

A.)

The random variable is the variable which is being measured.

B.) What is the probability that someone will keep a refrigerator fewer than 11 years before replacement?

Fewer than 11 years, P(x < 11)

We need to obtain the Z probability, at P(Z < 11)

The Zscore = (x - mean) / standard deviation

Zscore = (11 - 14) / 2.5 = - 1.2

P(Z < - 1.2) = 0.1151

C.) What is the probability that someone will keep a refrigerator more than 18 years before replacement?

More than 18 years, P(x > 18)

We need to obtain the Z probability, at P(Z > 18)

The Zscore = (x - mean) / standard deviation

Zscore = (18 - 14) / 2.5 = 1.6

P(Z > 1.6) = 0.0548

D.) What is the probability that someone will replace a refrigerator between 8 and 15 years?

P(x < 8)

The Zscore = (x - mean) / standard deviation

Zscore = (8 - 14) / 2.5 = - 2.4

P(Z < - 2.4) = 0.0081975

P(x < 15)

The Zscore = (x - mean) / standard deviation

Zscore = (15 - 14) / 2.5 = 0.4

P(Z < 0.4) = 0.65542

P(Z < 0.4) - P(Z < - 2.4)

0.65542 - 0.0081975 = 0.6472225

Express the area of the entire rectangle.
Your answer should be a polynomial in standard
form. X+6 top x+ 2 side
I will mark the brainliest!

Answers

Answer:

x^2 + 8x + 12

Step-by-step explanation:

The area is in 4 parts:

x * x,

x * 2,

6 * x, and

2 * 6

So it is x^2 + 2x + 6x + 12, or

x^2 + 8x + 12

Answer:

[tex]x^{2}[/tex]+8[tex]x[/tex]+12

Step-by-step explanation:

(x·x) + (6·x) + (x·2) + (6·2)

[tex]x^{2}[/tex]+6[tex]x[/tex]+2[tex]x[/tex]+12

[tex]x^{2}[/tex]+8[tex]x[/tex]+12

:) ur welcome

Using the order of operations, what should be done first to evaluate 62 +10-(-5) (3) -5?
O Subtract 5 from 3.
Divide 10 by -5.
Add 6 and 10.
Evaluate
[tex] {6}^{2} [/tex]

Answers

Answer:

Step-by-step explanation:

Well there are 2 things you can do first.

You can multiply -5 * 3    (which is not a choice)

or you can evaluate 6^2 (which is given -- so this is what you can do first)

A basketball team recently scored a total of 94 points on a combination of​ 2-point field​ goals, 3-point field​ goals, and​ 1-point foul shots.​ Altogether, the team made 52 baskets and 11 more​ 2-pointers than foul shots. How many shots of each kind were​ made?

Answers

Answer:

The team converted 7 3-point shots, 28 2-point shots, and 17 foul shots.

Step-by-step explanation:

Since a basketball team recently scored a total of 94 points on a combination of 2-point field goals, 3-point field goals, and 1-point foul shots, and altogether, the team made 52 baskets and 11 more 2-pointers than foul shots, to determine how many shots of each kind were made, the following calculations must be performed:

19 x 3 + 22 x 2 + 11 x 1 = 57 + 44 + 11 = 112

9 x 3 + 27 x 2 + 16 x 1 = 27 + 54 + 16 = 97

7 x 3 + 28 x 2 + 17 x 1 = 21 + 56 + 17 = 94

Therefore, the team converted 7 3-point shots, 28 2-point shots, and 17 foul shots.

Please select the correct inequality sign.

Answers

Answer:

7.67 > 7.64799

1.5566876 < 1.565687

Find the value of y, in the image below:

Answers

9514 1404 393

Answer:

  125

Step-by-step explanation:

The sum of exterior angles of a convex polygon is 360°. So, y is ...

  y° = 360° -40° -65° -60° -70° = 125°

  y = 125

Ayuda!!! no entiendo lo necesito con procedimiento y cuentas porfavor es urgente !??!!!​

Answers

Answer:

1- El Cerrito el 75% de la población habla una lengua distinta al español, mientras que en El Paseo dicho porcentaje es del 71.42%, con lo cual la diferencia de ambos es de 3.58%.

2- El 60% de los alumnos de 6ºA y el 80% de los alumnos de 6ºB aprobaron matemáticas, con lo cual la diferencia entre ambos grupos fue de 20% en favor del grupo 6ºB.

Step-by-step explanation:

1- Dado que en dos localidades hay habitantes que hablan una lengua distinta al español, de las cuales en El Cerrito son 3 de cada 4 mientras que en El Paseo son 5 de cada 7, para determinar en cuál de las dos localidades hay un número mayor de hablantes de una lengua distinta al español, y determinar la diferencia entre ambas localidades, se deben realizar los siguientes cálculos:

4 = 100

3 = X

3 x 100 / 4 = 75

7 = 100

5 = X

5 x 100 / 7 = 71.42

Por lo tanto, en El Cerrito el 75% de la población habla una lengua distinta al español, mientras que en El Paseo dicho porcentaje es del 71.42%, con lo cual la diferencia de ambos es de 3.58%.

2- Dado que en una escuela del poblado El Cerrito, 18 de los 30 alumnos del grupo 6ºA aprobaron el examen de matemáticas, mientras que en el grupo 6ºB lo hicieron 32 de los 40 alumnos, para determinar qué grupo obtuvo mejores resultados y cuál es la diferencia entre ambos grupos se deben realizar los siguientes cálculos:

30 = 100

18 = X

18 x 100 / 30 = 60

40 = 100

32 = X

32 x 100 / 40 = 80

Por lo tanto, el 60% de los alumnos de 6ºA y el 80% de los alumnos de 6ºB aprobaron matemáticas, con lo cual la diferencia entre ambos grupos fue de 20% en favor del grupo 6ºB.

31) y = 4x ∙ 5x ∙ 6x3 at x = 1. Give your answer exactly as just a(b ± ln c) where a, b, and c are integers.

Answers

Answer:

huuujjjjjjjjjjjjjiiikkkk

Please help I’m in an hour of need

Answers

Answer:

x = 107 degrees

Step-by-step explanation:

A line is 180 degrees so first, find the other angle by doing 180 - 160 which gives you 20 degrees.

The angles of a triangle add up to 180 degrees, so do 180-53-20, which gives you 107 degrees as the value of x.

Identify the variable expression that is not a
polynomial.


Answers

B is your answer

Explanation: It’s the only whole number and a polynomial can not be a whole number but must be an expression.

find the value of x if y=2.5 on the graph of 2x-1=y

Answers

Answer:

2x - 1 = y

2x - 1 = 2.5

Use inverse operations

2.5 + 1 = 3.5

3.5 / 2 = 1.75

2 x 1.75 - 1 = 2.5

x = 1.75


Points plz plz plz awnser​

Answers

Answer:

[tex]\frac{1}{6\\}[/tex]

Explanation:

Probability = [tex]\frac{Number of outcomes}{Total possible outcomes}[/tex]

In this case Number of outcomes is 1, that is 6

And total number of outcomes = 6 (Because there are six sides of a dice)

So the probability = [tex]\frac{1}{6\\}[/tex]

Hope it helps :)

Answer:

i think the answer will be 2

what's a expression of 6 groups of 4​

Answers

Answer:

x=6*4

Step-by-step explanation:

El primer día de la tormenta de nieve hubo 9,2 centímetros de nieve. Durante el segundo día de la tormenta, cayeron otros 18,2 centímetros. Si la nevada total durante la tormenta de nieve de tres días fue de 39,1 centímetros, ¿cuánta nieve cayó el tercer día?​

Answers

Answer:

11.7

Step-by-step explanation:

39.1 - 9.2 = 29.9

29.9 - 18.2 = 11.7

write the next steps​

Answers

Answer:

Two steps:

a) 12345×8+5=98765

b)123456×8+6=987654

If the function for predicting the growth of a population is F = 4.9(1.014)t. Based on the function, which statement accurately describes the growth rate?

A. The population is growing at a rate of 1.4%.
B. The population is growing at a rate of 4.9%.
C. The population is growing at a rate of 0.014%.
D. The population is growing at a rate of 0.14%.

Answers

Answer: B

Step-by-step explanation:

I need anyone’s help please. I will give the best answer brainliest.
Your mom suggested ten different choices for you to eat for dinner over the next week. How many different ways can you choose your dinner?



A. 120
B. 240
C. 720
D. 960
No fake answers or links pls.

Answers

120 different ways can you choose your dinner.

Given that, your mom suggested ten different choices for you to eat for dinner over the next week.

What is a combination formula?

In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter.

The combination formula is [tex]nC_{r} =\frac{n!}{r!(n-r)!}[/tex]

Here, n= number of sample points 10

r= number of sample points in each combination 7

Now, [tex]10C_{7} =\frac{10!}{7!(10-7)!}[/tex]

⇒[tex]10C_{7} =\frac{10!}{7!.3!}[/tex]=120

Hence, 120 different ways can you choose your dinner.

To learn more about the combinations visit:

https://brainly.com/question/13387529.

#SPJ2

Tom works part-time at a theme park. Last week, he worked the following hours. Type the hours Tom worked in hours and minutes into the boxes below. MON: 7 1 4 hours = hours and minutes TUE: 6 3 4 hours = hours and minutes WED: 5 1 5 hours = hours and minutes THU: 6 1 10 hours = hours and minutes

Answers

Answer:

7 hours and 15 minutes

6 hours hours and 45 minutes

5 hours and 12 minutes

6 hours and 10 minutes

Step-by-step explanation:

MON: 7 1/4 hours

= 7 hours and 1/4 hours

1/4 hours = 1/4 × 60 minutes

= 60/4 minutes

= 15 minutes

7 1/4 hours = 7 hours and 15 minutes

TUE: 6 3/4 hours

= 6 hours and 3/4 hours

3/4 hours = 3/4 × 60 minutes

= 180/4 minutes

= 45 minutes

6 3/4 = 6 hours hours and 45 minutes

WED: 5 1/5 hours

= 5 hours and 1/5 hours

1/5 hours = 1/5 × 60 minutes

= 60/5 minutes

= 12 minutes

5 1/5 hours = 5 hours and 12 minutes

THU: 6 1/10 hours

= 6 hours and 1/10 hours

1/10 hours = 1/10 × 60 minutes

= 60/10 minutes

= 6 minutes

6 1/10 hours = 6 hours and 10 minutes

Gopi paid 25% of his salary as tax and spent of his salary on groceries. The remaining amount of Rs.2500 was his savings. Find his salary and the tax amount paid.​

Answers

Answer:

his salary is rs 6000 & his tax amount is rs 1500 :)

Answer:

6000,1500

Step-by-step explanation:

Let Gopi's salary be 'x'

He paid 25% of his salary as tax. = 25% of x = 25x/100 = x/4  

He spent 1/3 of his salary on groceries = x/3

Getting his salary:-

x-x/3-x/4=2500

(12x-4x-3x)/12=2500

5x/12=2500

x=

(2500x12)/5

x=500x12=6000

Tax amount:-

6000x25/100=1500

If I start a trip driving at x mph for a hrs and then go 5 mph slower for the next two hours what is the total distance I traveled? WILL GIVE BRAINLIES T IF ANSWER IS RIGHT!!!!

Answers

Answer:

Step-by-step explanation:

a hours × (x miles)/hour = ax miles

2 hours × (x-5 miles)/hour = 2x-10 miles

total distance = ax + 2x-10 = (a+2)x - 10 miles

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What evidence supports the cartoonists perspective about expectations for children?the happy expression on the childs facethe message on the blackboardthe long list of activities the child givesthe books the children are carrying Countries, or "nation-states" are different from "nations" because nation-states haveQuestion 2 options:a. common traditions and beliefsb. official borders and governmentc. a sense of unity and belongingd. common language and religion Royston is driving to a popular amusement park with his family.Roystons car had gallons of gas at the start of the trip. During the trip, he stopped at a gas station and refueled the car with gallons. If the car consumed gallons of gas during the trip, there are still gallons of gas remaining in the tank. Which of these might affect how an age-of-consent law is interpreted in different states?A. The ages of the concerned partiesB. How often the sexual activity occurredC. The genders of the participantsD. Where the sexual activity occurred x-2+5y*7*6x+89y-6+345 Along with contributing to her positive portrayal of the black race, what does Hurstons use of the Big John de Conquer legend in the beginning of chapter 18 imply? 1. Which interrogative sentence fits the pattern adverb + verb + subject?O A. How is she?O B. Have you left?O C. Which refrigerator broke?O D. Do you know? Compton Company expects the following total sales: Month Sales March $ 37,000 April $ 27,000 May $ 21,000 June $ 32,000 The company expects 70% of its sales to be credit sales and 30% for cash. Credit sales are collected as follows: 25% in the month of sale, 75% in the month following the sale. The budgeted accounts receivable balance on May 31 is: I need the answer plsssss and helllo Process occurs in themitochondrion. Produces CO2 Maintaining a healthy lifestyle though diet and exercise is important A cuboid has 3 different sized faces. The areas of 2 of the faces are 84cm2and 56cm2. The volume of the cuboid is 672cm3. Find the length, width and height of the cuboid and the area of the third face. Help me wit this rq.. 4(1+ 2y) = 12y. Solve for y. why were people more likely to believe hoaxes in the past than they are today Buddhist believe that the end to suffering is contained in the ____ fold path. Which of these changes were created by the Intolerable Acts?Choose all that apply.creating a change in government in all the coloniesenforcing new quartering of British troopsfining all colonists until the Boston Tea Party tea was paid forclosing the Boston Harborputting a military government in place in MassachusettsDONE NaCl and HCl both have chlorine but are different types of bonds. What kind of bonds are each of these? What evidence did you use to determine what types of bonds they are? Which sentence would change this interrogative to an indicative mood?John asked, How did you bake that cake? what is netwon first law of motion