Let A be the event that there are at least two fives among the four rolls. Let B be the event that there is at most one five among the four rolls. Find the probabilities P(A) and P(B) by finding the ratio of the number of favorable outcomes to the total (i.e., P(A) = #A #Ω and P(B) = #B #Ω ).

Answers

Answer 1

Answer:

P(A) = 31/1296

P(B) = 125/1296

Step-by-step explanation:

Here, we want to find P(A) and P(B)

Let’s start with A

In a roll of a die, the probability that there will be a 5 is 1/6

The probability of not having a 5 is therefore 1-1/6 = 5/6

So out of four rolls , we want to find the probability of having at least two fives

This means there could be 2, 3 or 4 fives;

For two fives;

We have 2 fives and two non-fives

= (1/6 * 1/6 * 5/6 * 5/6) = 25/1296

For 3 fives;

we have 3 fives and 1 non five

= 1/6 * 1/6 * 1/6 * 5/6 = 5/1296

For 4 fives;

= 1/6 * 1/6 * 1/6 * 1/6 = 1/1296

So the probability of at least two fives is;

1/1296 + 5/1296 + 25/1296 = 31/1296

Event B is the probability that there is at most one five among the four rolls

That means there are 3 non fives and 1 five

P(B) = 1/6 * 5/6 * 5/6 * 5/6 = 125/1296


Related Questions

What is the slope of a line perpendicular to the line whose equation is
2x+12y=−192. Fully reduce your answer.

Answers

Answer:
Mperpendicular=6
Pls mark me brainliest

The slope of a line would be -6 which is perpendicular to the line whose equation is 2x+12y=−192.

What is the slope of the line?

The slope of a line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

We have to determine the slope of a line perpendicular to the line whose equation 2x + 12y = −192.

First, we have to find the slope of the given line

The equation of the line which is given as

2x + 12y = −192

12y = −192 - 2x

Divided by 12 both sides of the above equation to get the slope-intercept form

y = - (1/6)x - 16

Here the slope of the line (m) = -1/6

So the slope of the line perpendicular to the line will be: 1/m = 1/(-1/6) = - 6.

Learn more about the Lines here:

brainly.com/question/14511992

#SPJ2

If h(x) = 20 +5, find h(2)

Answers

Answer:

I think the answer is 50

Step-by-step explanation:

thats how i learned in school i dont remember tho

Area of the circle. Leave your answer in terms of pi.

Answers

Answer:

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679

Step-by-step explanation:

by google

List the values in ascending order.
43%.
2 3
is

Answers

Answer:

1. 2/3 = 66.66%2. 43%

Thank you ☺️


Hiiii Please help!!!
m/n(x), x≠

Answers

When we evaluate the quotient functions, (mn)(x) for x = -3

(mn)(-3) = 9 and (m/n) (x), x ≠ 0

How did we evaluate the quotient function?

To evaluate the quotient function (mn)(x) for x = -3, we  substituting x = -3 into the function mn(x).

This gives us (mn)(-3) = m(-3) × n(-3) = (-3)² × (-3) = 9.

We then need to evaluate (m/n)(x), x ≠ 0.

This is done by dividing the function m(x) by the function n(x). This gives us (m/n)(x) = m(x) / n(x) = x^2 / x = x. However, this expression is undefined when x = 0, because division by zero is undefine

Find more exercises on quotient function;

https://brainly.com/question/31065639

#SPJ1

ANSWER IT ANSWER IT!

Answers

Answer:

A perfect square means that all side are EXACTLY equal. I hope this helps!

Step-by-step explanation:

In number theory, a perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. For instance, 6 has divisors 1, 2 and 3, and 1 + 2 + 3 = 6, so 6 is a perfect number

How do solve 31 = 5 - 2(3x+4) - x. It can be a fraction.​

Answers

x = 34 over -7
first you distribute, then you combine like terms, then get x by itself and then divide but in this problem you keep it in a fraction.

1
What is m∠GEF?
A 55°
B 110°
C 125°
D 235°


2 Decide if each statement about angle measures in a triangle is true or false.
Choose True or False for each statement.


please help I need an answer now, please

Answers

M g is 125 beachside if you move g and. V

Answer:

I'm pretty sure its 125... I remember getting asked this question and it was right. (i am not completely sure if it's right)

Step-by-step explanation:

The American Academy Dermatology says that hair grows about 6 inches per year. How much hair can you expect to grow after 3 years, given that you do not get any haircuts.

Answers

About 18 inches / 1 foot and 6 inches

If hair grows about 6 inches every year, and we want to find out how much will grow in 3 years, we multiply.

6 x 3 = 18 inches

Then we can simplify it because there are 12 inches in a foot

18/12 = 1 6/12

Model the following situation with an equation or inequality statement.

Twice a number is one.

Answers

Answer:

2x=1

Step-by-step explanation:

Use x for "a number"

x times 2 = 1

2x=1

which solves for 0.5 or 1/2

2x = 1

yea umm her answer was correct! i checked!

-2x+m=5d
solve for m.​

Answers

Answer:

m=2x+5d

Step-by-step explanation:

M=d+2x
Pls mark brainliest

The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (a) What is the probability that you wait longer than one hour for a taxi? (b) Suppose that you have already been waiting for one hour for a taxi. What is the probability that one arrives within next 10 minutes? (c) Determine xx such that the probability that you wait more than xx minutes is 0.10. (d) Determine xx such that the probability that you wait less than xx minutes is 0.90. (e) Determine xx such that the probability that you wait less than xx minutes is 0.50

Answers

Answer: a)0.025 b)0.63 c)23 d)1.053 e)6.93

Step-by-step explanation:

E(x)= 10

It is a continuous random variable, so calculating for ✓, we have

10=E(x)1/✓

✓=1/10=0.1

1)P(x>60)=1-F(60)=e^0.1x60=0.0025

2) Employing lack of memory property, we have, P(X<70|X>60)=P(X<10)= F(10)=1-e^-0.1x10= 0.63

3) for 0.1, x= -1/0.1 ln0.1= 23

4) for 0.9, x= -1/0.1 ln 0.9= 1.053

5) for 0.5, x -1/0.1 ln 0.5= 6.3

When
When 7 is subtract from three times a certain number the result is 28 what is the number

Answers

Answer:

x=49

Step-by-step explanation:

you replace the unknown with a variable (x)

you subtract 7 three times, so it x-7-7-7=28 or x-21=28

you add 21 to both sides, then you get x=49

And electronics store chain sells headphones The company is about to introduce a new headphones model that is expected to sell very well across its various stores. The projected revenue and cost functions for the headphones are R(x)=-0.25x+25x and c(x)= -17+90. What is the profit function

Answers

Answer:

[tex]P(x) = -0.25x^2 + 42x - 90[/tex]

Step-by-step explanation:

Given

[tex]C(x) = -17x + 90[/tex]

[tex]R(x) =- 0.25x^2 + 25x[/tex]

Required

Determine the profit function.

Profit function is calculated as thus:

[tex]P(x) = R(x) - C(x)[/tex]

So, we have:

[tex]P(x) = -0.25x^2 + 25x -(-17x + 90)[/tex]

[tex]P(x) = -0.25x^2 + 25x + 17x - 90[/tex]

[tex]P(x) = -0.25x^2 + 42x - 90[/tex]

Help me :( please omg this is to hard for me

Answers

Answer:

The answer is 39.

Step-by-step explanation:

bc^2 + a / c

=(9)(4)^2 + (12) / (4)

=(9)(4*4) + (12) / (4)

=(9)16 + (12) / (4)

=144 + 12 / 4

=156 / 4

=39

Answer:

327

Step-by-step explanation:

when the variables are together multiply

so

9×4=

36

36²=

1296

1296+12=

1308

1308÷4=

327

hope this helps!

Ajay says that if you take a square number and multiply it by its
square root, you will always end up with a cube number.
Show that Ajay is correct.

Answers

Example: What is 3 squared?

3 Squared== 3 × 3 = 9

"Squared" is often written as a little 2 like this:

This says "4 Squared equals 16"

(the little 2 means the number appears twice in multiplying, so 4×4=16)

Square Root

A square root goes the other direction:

3 squared is 9, so a square root of 9 is 3

It is like asking:

i give new question for not so many points. 44+4

Answers

Answer:

48

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

44+4=48

yeah basic answer

hi pls help! i'll give brainliest +30 points

Answers

Answer:

Option 3

Step-by-step explanation:

Because only the constant is changed.

Patricia bought 21 loaves of bread for $16.59.
including tax. How much does each loaf of bread
cost??

Answers

Answer:

Each loft was $0.70 cents?

Step-by-step explanation:

$16.59/ 21 =$0.70

I just read the including tax part. How much was the tax?

Answer:

$.84

Step-by-step explanation:

16.59 * .06 = .9954

.9954 + 16.59 = 17.5854

17.5854 / 21 = .8374

.8374 rounded to the nearest hundredth is .84

Lucy invested $19,000 in an account paying an interest rate of 3% compounded annually. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 8 years?

Answers

Answer: 24100

Step-by-step explanation:

The money in the account after 8 years is $24068.631.

Given that, principal=$19000 and the rate of interest=3%.

What is the formula to find the compound interest?

The formula to find the compound interest is CI=A-P.

Where, A=Amount that is [tex]A=P(1+\frac{r}{100} )^{n}[/tex], P=principal.

Now, [tex]A=19000(1+\frac{3}{100} )^{8}[/tex]

=19000[tex](1.03)^{8}[/tex]

=19000×1.26677008139

=$24068.6315464

=$24068.631

Therefore, the money in account is $24068.631.

To learn more about compound interest visit:

https://brainly.com/question/21270833.

#SPJ5

Hello I need help with my school question. Here it is. Estimate.
73
×
64 And it’s not 4,672. I tried that

Answers

Hi, I just rounded it to the nearest tenths and I got 4200

MATH EXPERTS OUT THERE I NEED YOUR ASSITANCE!!!!PLEASE SHOW YOUR WORK ITS DUE RIGHT NOW!!!
1. The county fair charges $1.25 per ticket for the rides. Jermaine bought 25 tickets for the rides and spent a total of $43.75 at the fair. Jermaine spent his money only on ride tickets and fair admission. The price of the fair admission is the same for everyone. Use y to represent the total cost and x to represent the number of ride tickets.
(a) Define your variables.
(b) Write a linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission.
(c) Explain your answer to Part 1b.
.
.A line goes through the points, (8,9) and (-2,4).
What is the slope of the line? Show your work.
Write the equation of the line in point-slope form. Show your work.
Write the equation of the line in slope-intercept form. Show your work.
.
.
Line A is represented by the equation, y=1/4 x+5.
Write in slope-intercept form the equation of a line that is parallel to Line A and passes through the point, (8,-2). Show your work.
Write in slope-intercept form the equation of a line that is perpendicular to Line A and passes through the point, (4," 1"). Show your work.
Answer:

Answers

a) x = 25 tickets

   y = 43.75 - Total cost

   a = admission cost

b/c) 1.25(25)+a=43.75

   31.25+a=43.75

   43.75-31.25=12.50 cost of admission

   12.50+31.25=43.75 total cost at the country fair.

(8,9) and (-2,4)

equation would be y = 1/2x+5

(do the work its a lot there can be videos found online)

nfadkjnbvjkn I'm busy i hope this helped

HEY CAN ANYONE PLS ANSWER DIS RQ!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

substitiuting the values repectively gives you the answer for the other.

This graph represents −2x+y=4.

Which ordered pair is in the solution set of −2x+y≥4?



(2, −1)

(−2, −1)

(−2, 1)

(2, 1)

Answers

Answer:

-2,1

Step-by-step explanation:

Answer:

the answer is (-2,1)

What is the probability of
rolling a 6?
Simplify the fraction
Enter the number that belongs in the green box.

Answers

Answer:

1/6

Step-by-step explanation:

There are 6 different outcomes when rolling a fair dice.

You can roll a:

1

2

3

4

5

or

6

There is one outcome we want. Probability=number of desirable outcomes/total number of options.

1= number of desired outcomes

6-=total number of outcomes

1/6

Help pls am confused ​

Answers

Answer:

Oww no

hope that will help you

What is the greatest four-digit multiple of 18?


Please help me

Answers

Answer:

9990.

Step-by-step explanation:

Look at the words.
effect principle decent accept
What makes these words difficult to spell?
A. They all end in a silent -e.
B. They all have a silent consonant.
C. They all have doubled consonants.
D. They all are commonly confused words.

Answers

Answer:

Your answer is: I would say C) They all have doubled consonants.

Step-by-step explanation:

Hope this helped : )

They are all commonly confused words. Makes these words difficult to spell. The sentence "effect principle decent accept". Thus, option (d) is correct.

What are words?

The term words referred to the combination of the letters. The words are the always in to define the meaning. The letters are arranged in the proper manner of the spellings are in the correct format. The words are the arranged in proper manner in the creation of the sentence. The words are the noun and the pronoun.

According to the sentence, was the based on the commonly confused words. The words are the always commonly as the confused because each word is a different meaning as the similar spelling.

As a result, the commonly confused words are word difficult to spell. Therefore, option (d) is correct.

Learn more about on words, here:

https://brainly.com/question/28611

#SPJ2

Six more than four times a number is equal to eight added to three times the same number. Find the number

Answers

6+4x=8+3x

-3x     -6

x=2

the number is 2


Which table is correct for y = -3/2X + 5

Answers

Answer:

we need the tables.

Step-by-step explanation:

Other Questions
We enjoy ______ family dinner on Sunday evenings.Seleccione una:a.haveb.hadc.to haved.having At the time the United States Constitution was ratified, all women and poor men could not vote. The Constitution also ratifed slavery. Do these facts hurt its legacy? Explain In trapezoid EFGH, EF and HG are the bases. Point J is the midpoint of EH and point K is the midpoint of FG . EF=3x+2 , HG=7x2 , and JK=15 .What is the value of x? simplify 7/9/14(7/9 over 14) (this is 7th grade work) What effect did victory in the War of 1812 and the Treaty of Ghent have on Native Americans?A. secured their land claims east of the Mississippi RiverB. open lands in the Great Lakes region to U.S. settlementC. compelled most Native Americans to migrate north to British CanadaD. led Native Americans to form a confederation to resist U.S. expansion Which of the following relations is a function?{(3,-3), (3, -6), (3,-4)}{(10,-9), (7, -1). (10.-9)}O{(-6, -6), (-1, -1), (-6, -8)}{(1, -6), (-2,-2), (1, -1)} 11. Given a polynomial P(x) = x-4x-5x is one of the zeroes.a) Factorise P(x) completelyb) Sketch the graph of P(x)C)Find the domain and range. what are you guys doing for Halloween lol I honestly am not feeling it this year Using the image in the previous question, calculate the amount of force that the truck applied to the car if the truck was accelerating at a rate of 5 m/s21. What formula would you use?2. Calculate the force of the truck hitting the car, use the correct unit for force: 3. Which law of motion supports your answer? 1. GUACAMOLE Eli is making guacamole. He uses 2 tablespoons of cilantro for every 3 avocados. At this rate, how many tablespoons of cilantro will he need for 9 avocados?2. MARBLES The ratio of blue marbles to white marbles in a bag is 4 to 5. At this rate, how many blue marbles are there if there are 15 white marbles?3. FERTILIZER Ellie must mix 6 tablespoons of plant food for every 2 gallons of water. If she has 6 gallons of water, how much plant food should she use?4. STRAWBERRIES At a local fruit stand, Luisa spends $3.96 for 2 pounds of strawberries. How much can she expect to pay for 4 pounds of strawberries?5. POGO STICK On her pogo stick, Lula made 24 hops in 30 seconds. At this rate, how many hops will she make in 50 seconds?6. TESTS On a test, Matilda answered 12 out of the first 15 problems correctly. If this rate continues, how many of the next 25 problems will she answer correctly?7. SOCCER The Hawks soccer team won 12 out of 14 games. If this rate continues, how many games will they win if they play a total of 21 games?8. VEGETABLES At a harvest, 16 ears of corn are being picked for every 18 peppers. If 9 peppers have been picked, how many ears of corn have been picked?9. CONSTRUCTION At a road work site, 20 cones are placed along 50 feet of road. How many cones are placed along 35 feet of road? who won the battle of the American and British revolution and why. Which method would you use to solve the following equation? FIND THE DISTANCE BETWEEN EACH PAIR OF POINTS. ROUND TO THE NEAREST TENTH. (-4, 5) (4, 0) Using f(x) = 3x + 4 find f(3) What motivates both Fortunato and the narrator? A car decelerates uniformly from 24 m/s to 18 m/s in 3.0 seconds. How far does it travel during this time? please help me!!! Its due Thursday What is the major differences between using machineweights and free weights?Free weights allow you to choose the weight you want to liftand are more available to use when working out at your localgym. Machine weights don't require a spotter, however doesnot give you a full body workoutFree weights require more coordination, strength, andbalance than machine weights. Machine weights isolatesyou to one muscle group while free weights require you touse other muscle groups to assist in the lifting process. 9.Isasamgasuliraningkinahaharapnatinayangpagkalulongsamasasamangbisyo.KamakailanaynaisabatassaPilipinasang"NationwideSmokingBan."Ibigayangiyongsaloobinhinggilsanasabingbatassapamamagitanngpagsulattungkol sa mbinubuo ng dalawang talatanang sanaysaypangungusap. (2 puntos)talata na may tatlo o apat na asap please Plz help really need it.