Alice and Bob each choose a number uniformly (and independently) from the interval [0, 10]. What is the probability that the absolute value of the difference between their two numbers is less than 1/4

Answers

Answer 1

Answer:

The probability is zero (0)

Step-by-step explanation:

Given;

interval of numbers to be chosen = 0, 1, 2, 3 , 4, 5, 6, 7, 8, 9 , 10

total possible outcome = 11

The possible numbers whose absolute difference is greater than ¹/₄ includes the following;

(0,1), (1,2), (2,3), (3,4), (4,5), (5,6), (6,7), (7,8), (8,9), (9,10), (10,0)

The probability of this = 11 / 11 = 1

The probability that the absolute value of the difference between their two numbers is less than 1/4

[tex]P(less \ than \ \frac{1}{4} ) = 1 - P(greater \ than \ \frac{1}{4} )\\\\P(less \ than \ \frac{1}{4} ) = 1 - 1 \\\\P(less \ than \ \frac{1}{4} ) = 0[/tex]


Related Questions

A bakery sells two kinds of baked goods: cookies and pie slices. A cookie costs 12 ani a pe sites $4. In one day, the store sold 34 baked goods for a total of $114. How many cookies die itey sele? How many pie slices did they sell? Write a system of equations and solve.​

Answers

Answer:

uhhhhhhhhhhhh what does this say?

help please i made it worth a lot of points

Answers

Answer:

[tex] \dfrac{4m^2n}{3p} [/tex]

second choice

Step-by-step explanation:

Deal with the numbers first, then with each set of equal variables.

Use the rule a^m/a^n = a^(m - n)

4/3 cannot be reduced, so the number part remains 4/3.

m^4/m^2 = m^2

n^3/n^2 = n^1 = n

p^3/p^4 = p^-1 = 1/p

Now put it all together:

[tex] \dfrac{4m^2n}{3p} [/tex]

second choice

[tex]\\ \sf{:}\longrightarrow \dfrac{4m^4n^3p^3}{3m^2n^2p^4}[/tex]

a^m/a^n=a^m-n

[tex]\\ \sf{:}\longrightarrow \dfrac{4}{3}m^{4-2}n^{3-2}p^{3-4}[/tex]

[tex]\\ \sf{:}\longrightarrow \dfrac{4m^2np^{-1}}3}[/tex]

[tex]\\ \sf{:}\longrightarrow \dfrac{4m^2n}{3p}[/tex]

Factor
3x2- 2x - 5

*(3xpower of 2 -2x-5)**

Answers

Answer:

16

Step-by-step explanation:

3×2-2×-5=

6-(-10)=

6+10=

16

Solve -2/3x > 8 or -2/3x < 4.

{x | x > -12 or x < -6}
{x | -12 < x < -6}
{x | x < -12 or x > -6}

Answers

Answer: Choice C

{x | x < -12 or x > -6}

=========================================================

Explanation:

Let's solve the first inequality for x.

(-2/3)x > 8

-2x > 8*3

-2x > 24

x < 24/(-2)

x < -12

The inequality sign flips when we divide both sides by a negative value.

Let's do the same for the second inequality.

(-2/3)x < 4

-2x < 4*3

-2x < 12

x > 12/(-2)

x > -6

The conclusion of each section is that x < -12 or x > -6 which points us to choice C as the final answer.

Side note: The intervals x < -12 and x > -6 do not overlap in any way. There's a gap between the two pieces. We consider these intervals to be disjoint. The number line graph is below.

Sumas y restas de polinomios

Answers

Creo que es -13/2 -35y/4

write an equation in slope-intercept form for the line with y-intercept −8 and slope 1/3.

Answers

Answer:

y = x/3 - 6

Step-by-step explanation:

yeah-ya......... right?

In 2000, the moose population in a park was measured to be 650. By 2010, the population was measured to be 750. Assume the population continues to change exponentially. Find a formula for the moose population, P(x), where x is the number of years after 2000

Answers

Answer:

650 * (1.01)ˣ = P(x)

Step-by-step explanation:

One formula for exponential growth is

a*bˣ, where x represents time, a represents the initial amount, and b represents the growth rate. We have 650 as our initial amount because x is the number of years after 2000, and there are 650 moose in 2000. Then, we have

650 * b¹⁰ = 750 because, after 10 years, the moose population is 750. Solving for b, we have

750/650 = b¹⁰

(750/650)^(1/10) = b

= 1.01441296377 (can round this to 1.01)

Therefore, after x years, the moose population can be represented by the equation

650 * (1.01)ˣ

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

9.81925> rounding up, final answer is x= 9.8

Jamal wrote that 9 – 8.4 = 6.

Answers

9−8.4=6

0.6≠6

False

I don't know...

Answer:

0.6 his answer is false.

Step-by-step explanation:

...

The map shows the location of four places in a city:

Coordinate grid shown from negative 6 to positive 6 on the x-axis and negative 6 to positive 6 on the y-axis. A point labeled School is shown on ordered pair 2, 4. A point labeled Library is shown on ordered pair negative 3, 5. A point labeled City Park is shown on ordered pair negative 3, negative 4. A point labeled Museum is shown on ordered pair 2, negative 5.

Anna's house is in the same quadrant as the museum. Which of the following could be the coordinates of Anna's house?

(1, 4)
(−1, 4)
(1, −4)
(−1, −4)

Answers

Using quadrant concepts, it is found that the coordinates of Anna's house could be at (1,-4).

The signal rules for the quadrants of a point (x,y) are as follows:

First quadrant: x > 0, y > 0.Second quadrant: x < 0, y > 0.Third quadrant: x < 0, y < 0.Fourth quadrant: x > 0, y < 0.

In this problem, the museum is in the fourth quadrant, which is the same as Anna's house, hence, since it is needed x positive and y negative, the coordinates of Anna's house could be at (1,-4).

You can learn more about quadrants at https://brainly.com/question/25900520

Help a bro outttttttt

Answers

Answer:

15

Step-by-step explanation:

pick any 2 sides

3x+6=6x-3

+3

3x+9=6x

-3x

9=3x

/3

x=3

3*9x=27

27-12=15

A movie theater charges ​$7.00 for adults and ​$2.00 for senior citizens. On a day when people paid for​ admission, the total receipts were ​$1225. How many who paid were​ adults? How many were​ seniors?

Answers

Answer:

7.00+2.00=9.00

2.00-7.00=5.00

Please Help I am giving many points!

Answers

Answer:

D

Step-by-step explanation:

n = 5

an = 176

an = a1*x^(n -1)

a5 = a1 * x^4 = 176

a7 = a1 * x^6 = 704

a7/a6 = a1 * x^6 / a1*x^4 = 704 / 176

Cancel out a1

x^6/x^4 = 704/176      Divide numerator and denominator by 176

x^2 = 4                        Take the square root of both sides

x = 2 or - 2

176 = a1 * x^4

176 = a1 * 16

a1 = 11

a1 is going to be 11 whether x is 2 or minus 2.

hi mallllll. hehehe

once again its [tex]a_{1} = -11[/tex]

2/8 and 1/2 write < or >

Answers

Answer:

0.5 > 0.25

Step-by-step explanation:

2/8 = 1/4 = 0.25

1/2 = 0.5

Answer:

<

Step-by-step explanation:

1/2 equals more than 2/8.

Because if u simplify 2/8 it would equal 1/4 which is less than 1/2.

Can someone solve this question ~
[tex] - 6 \: log_{3}(x - 2) = - 24[/tex]
[tex]ɴᵉᵉᵈ \: ɢᵉⁿᵘⁱⁿᵉ \: ᴀⁿˢʷᵉʳ[/tex]

Answers

[tex]\huge \sf༆ Answer ༄[/tex]

The value of x is ~

[tex] \sf \: 83[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve ~

[tex] \sf \: - 6 log_{3}(x - 2) = - 24[/tex]

[tex] \sf \: log_{3}(x - 2) = \dfrac{ - 24}{ - 6} [/tex]

[tex] \sf \: log_{3}(x - 2) = 4[/tex]

[tex]x - 2 = {(3)}^{4} [/tex]

[tex]x - 2= 81[/tex]

[tex]x = 81 + 2[/tex]

[tex]x = 83[/tex]

You're welcome spammy ~

The value of x from the given expression is 5

Laws of logarithm

Given the logarithm expression

[tex]-6log_3(x-2)=-24[/tex]

According to the law of logarithm, if [tex]log_ab=c, \ hence \ b= a^c[/tex]

Applying this law to the given question, we can see that:

[tex](x-2)^{-6}=3^{-24}\\(x-2)^6=3^{24}\\(x-2)^6=3^6\\[/tex]

Cancel out the exponents to have:

x - 2  = 3

x = 2 + 3

x = 5

Hence the value of x is 5

Learn more on logarithm here; https://brainly.com/question/25710806

I need help with a quiz

A rectangular prism has a volume of 960 cubic units. The area of the base is 80 square units. What is the height of the prism?

Answers

Answer: the area of the base will be multiplied by 4, since it will be changed from LW to

(2L)(2W) = 4LW

So, apply that to finding the new volume.

If the rectangular prism has a volume of 960 cubic units. Then the height of the prism will be 12 units.

What is the volume of the rectangular prism?

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as

V = L x W x H

A rectangular crystal has a volume of 960 cubic units. The region of the base is 80 square units.

The height of the prism will be given as,

960 = 80 x H

H = 960 / 80

H = 12 units

If the rectangular prism has a volume of 960 cubic units. Then the height of the prism will be 12 units.

More about the volume of the rectangular prism link is given below.

https://brainly.com/question/21334693

#SPJ2

The instructions for mixing a powdered cleaner and water state that you should mix 3 ounces of powder in a 14 quart pal 3/4 full of water. To obtain a mixture of equal strength and a mop bucket containing 28 gallons of water requires how many ounces of powder

Answers

Answer:

this doesn't make sense

Step-by-step explanation:

A 2ft-by-2ft square is divided into smaller squares and portions are shaded. What is the area of the shaded portion?

Answers

Answer:

1.5 ft^2

Step-by-step explanation:

Since the length is divided into 4 parts,

Length of a small square = 2/4

= 0.5 ft

Hence,

Area of 1 small square = (0.5)(0.5)

= 0.25 ft^2

Area of shaded portion = Area of 6 small squares

= 6(0.25)

= 1.5 ft^2

Step-by-step explanation:

The area of the shaded cubes is 3 square feet.

What is a square?

A square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is given side²

We have,

Since the 2 ft-by-2 ft square is divided into 16 smaller squares, each smaller square has an area of:

(2/4)ft = 0.5ft.

Now,

Out of the 16 smaller squares, 6 smaller cubes are shaded.

Since each smaller cube occupies the space of one of the smaller squares, the total area of the shaded cubes is 6 times the area of one of the smaller squares.

The area of the shaded cubes is:

6 x 0.5ft² = 3ft²

Thus,

The area of the shaded cubes is 3 square feet.

Learn more about squares here:

https://brainly.com/question/22964077

#SPJ2

PLEASE HELP!!!
True or false
3(x-2) and 3x-6 are
equivalent

Answers

Answer:

true!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

True.

Step-by-step explanation:

They are equivalent expression because if you distribute the 3 in 3(x-2), you will get the same expression as 3x-6.

3(x-2) =

(3*x) - (3*2) =

3x - 6

Hope this helps.

help me out please
and i need a step by step explanation

Answers

Answer: 1 + (-1) + (-4) = -4

Step-by-step explanation:

By counting how many chips there are, you can get the following:

1 positive chip + 1 negative chip + 4 negative chips, which is

+1                      +          -1              + 4 x -1

= 1                     -1                           -4

= -4

b. What is the area of the surface of Crater Lake?

Give a step by step explanation

Answers

Answer: 23.76 miles

Step-by-step explanation:

You are basically finding the perimeter for question a

given that perimeter is [tex]\pi[/tex]d

Subsitute the values

So perimeter = [tex]\pi[/tex] x 5.5 = 5.5 [tex]\pi[/tex] miles = 17.28 miles (2.d.p)

For question b, the area of the surface of Crater lake is finding its area

Given that area of a circle is [tex]\pi r^{2}[/tex]

Substitute the values

Because 5.5 is the diameter, to find the radius, divide by 2 to get 2.75

Area = 2.75^2 x [tex]\pi[/tex] = 7.5625[tex]\pi[/tex] = 23.76 miles^2 (2.d.p)

Express as a trinomial.
(x + 6) (2x + 8)

Answers

Answer:

2x² + 20x + 48

Step-by-step explanation:

(x+6)(2x+8)

(x)(2x) + (x)(8) + (6)(2x) + (6)(8)

2x² + 8x + 12x + 48

2x² + 20x + 48


Question 6
You have been asked to set up chairs for the school concert.
The first row will have 10 seats, and each additional row has 4
seats more than the previous row. /(10 pts)
What is the total number of chairs needed to set up 25 rows?

Answers

Answer:

1500

Step-by-step explanation:

we can do simple triangle numbers to do this. 4 more seats per row. we take 10 which is the first row and add the last row which 110 because 4*25 rows is 100 more. now we can half the rows to 12.5 and multiply that by the 120 and we get 1500 and we are done

Add: (g2 – 4g4 + 5g + 9) + (–3g3 + 3g2 – 6)

Answers

Step-by-step explanation:

you can always combine terms with the same base term and exponent.

I always recommend to sort the different categories and sequence them, with the highest exponent first.

(g² - 4g⁴ + 5g + 9) + (-3g³ + 3g² - 6)

-4g⁴ + g² + 5g + 9 - 3g³ + 3g² - 6

-4g⁴ - 3g³ + 4g² + 5g + 3

I always compare this with a merger of two galaxies. there are just a few actual collisions and mergers of individual star systems and bodies. mostly the different bodies just mix together into a new, larger galaxy.

The two lines graphed below are not parallel. How many solutions are there to the system of equations?

○ A. Zero

○ B. Two

○ C. Infinity many

○ D. One​

Answers

Answer: d. one

Explanation: the solution of two lines on a graph is where they intersect.

Marian sells handmade aprons at a local co-op. The wholesale cost of the materials for one apron is $12.99. If she sells the aprons for $25.00, what is the percent of markup? Round to the nearest percent.

Answers

Answer:

92%

Step-by-step explanation:

dnc

someone please help me!

GIVING BRAINLIST TO FIRST RIGHT ANSWER

Answers

Answer:

A. The mean is increased by 3

Step-by-step explanation:

2 + 9 + 11 + 10 + 3 + 5 + 4 + 12 = 56/8 = 7

2 + 9 + 11 + 10 + 3 + 5 + 4 + 12 + 34 = 90/9 = 10

10 - 7 = 3

what is the explanation

Answers

Answer:

the explanation of wot

Step-by-step explanation:

If you give an explanation of something, you give details about it or describe it so that it can be understood.


Which equation is modeled on the number line below?

Answers

Answer:

A

Step-by-step explanation:

You have two increments of -5, so you know that 2 x -5 = -10. You know it is negative 10 because it is going to the left.

Hope this helps!

Which equation below compares the amount of medicine, S, in Sofia’s system with the amount of medicine, L, in Lexi’s system? L = 16 x S S = 16 x L L = 4 + S S = 4 + L

Answers

Answer:

L=16xS

Step-by-step explanation:

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