I have 120 blocks. Each block is one of 2 different materials, 3 different colors, 4 different sizes and 5 different shapes. No two blocks have exactly the same all four properties. I take two blocks at random. What is the probability that these two blocks have exactly two of these four properties the same?

Answers

Answer 1

Answer: 0.54

Step-by-step explanatio;

We would have three in common out of 4 characteristics (4 out of 4 is not possible). There are 4 possible ways to share 3 out of 4 characteristics.

Denoting the characteristics as {M,C,Si,Sh} so P(B2={1,1,1,0}|B1={1,1,1,0}) is the probability that box 2 shares its first three characteristics with box 1 given that box one has characteristics

We now have

P(B2 has 3 elements in common with B1)=P(B2={1,1,1,0}|B1={1,1,1,0})xP(B1={1,1,1,0})+P(B2={1,1,0,1}|B1={1,1,0,1})xP(B1={1,1,0,1})+P(B2={1,0,1,1}|B1={1,0,1,1})xP(B1={1,0,1,1})+P(B2={0,1,1,1}|B1={0,1,1,1})xP(B1={0,1,1,1})

P(B2 has 3 elements in common with B1)=(4x5x24+3x4x30+2x3x40+1x2x60)1120x119= 0.084

which is close enough to the value from the simulation code (modified to count the number of 3-ties)

Now, I use the same reasoning to compute:

P(B2 has 2 or more elements in common with B1)=(19x20x6+11x12x10+9x10x12+14x15x8+7x8x15+5x6x20)1120x119= 0.54

Answer 2

Equation: (2-1)((3-1)+(4-1)+(5-1)) + (2)((3)+(4)) + (12) = 35 with a total of 119 possibilities.

answer: 35/119


Related Questions

what is the value of the expression x-3y when x = 6 and y = 12

Answers

Answer:

-30

Step-by-step explanation:

Plug in the values of x and y: 6 - 3(12)3(12) = 3 × 12 = 36Plug 36 in: 6 - 366 - 36 = -30

I hope this helps!

Last week, you finished Level 2 of a video game in 32 minutes. Today, you finish Level 2 in 28 minutes?

Answers

Is this a question or it’s not?

WILL MARK BRAINLIEST. Can someone help me wit des 4 questions? SHOW UR WORK FOR EACH QUESTION
1.) 5(2x+6)=8x+48
2.) -3(8+3h)=5h+4
3.) 2(y-6)=3(y-4)-y
4.) 8x-4=2(4x-4)

Answers

Answer:

1. [tex]x[/tex] = 9

2. [tex]h[/tex] = 2

3. Infinitely Many Solutions

4. No solution

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

1.) 5(2[tex]x[/tex] + 6) = 8[tex]x[/tex] + 48

Step 1: Expand.

10[tex]x[/tex] + 30 = 8

Step 2: Subtract 30 from both sides.

10[tex]x[/tex] = 8

Step 3: Simplify 8[tex]x[/tex] + 48 − 30 to 8[tex]x[/tex] + 18.

10[tex]x[/tex] = 8

Step 4: Subtract 8[tex]x[/tex] from both sides.

10[tex]x[/tex] − 8

Step 5: Simplify 10[tex]x[/tex] − 8[tex]x[/tex] to 2[tex]x[/tex].

2[tex]x[/tex] = 18

Step 6: Simplify [tex]\frac{18}{2}[/tex] to 9.

[tex]x[/tex] = 9

2.) −3(8 + 3[tex]h[/tex]) = 5[tex]h[/tex] + 4

Step 1: Expand.

−24 − 9[tex]h[/tex] = 5

Step 2: Add 24 to both sides.

−9[tex]h[/tex] = 5

Step 3: Simplify 5[tex]h[/tex] + 4 + 24 to 5[tex]h[/tex] + 28.

−9[tex]h[/tex] = 5

Step 4: Subtract 5[tex]h[/tex] from both sides.

−9[tex]h[/tex] − 5

Step 5: Simplify −9[tex]h[/tex] − 5[tex]h[/tex] to −14[tex]h[/tex].

−14[tex]h[/tex] = 28

Step 6: Divide both sides by −14.

[tex]h[/tex] = [tex]-\frac{28}{14}[/tex]

Step 7: Simplify [tex]\frac{28}{14}[/tex] to 2.

[tex]h[/tex] = 2

3.) 2([tex]y[/tex] − 6) = 3([tex]y[/tex] − 4) − [tex]y[/tex]

Step 1: Expand.

2[tex]y[/tex] − 12 = 3

Step 2: Simplify 3[tex]y[/tex] − 12 − [tex]y[/tex] to 2[tex]y[/tex] − 12.

2[tex]y[/tex] − 12 = 2 − 12

Step 3: Since both sides equal, there are infinitely many solutions.

Infinitely Many Solutions

4.) 8[tex]x[/tex] − 4 = 2(4[tex]x[/tex] − 4)

Step 1: Expand.

8[tex]x[/tex] − 4 = 8

Step 2: Cancel 8[tex]x[/tex] on both sides.

−4 = −8

Step 3: Since −4 = −8 − 4 = −8 is false, there is no solution.

No solution

~I hope I helped you! Good luck :)~

A vertical line passes through the point (–3, 5). Which point is also on this line? *
2 points
Captionless Image
(0, 0)
(5, –3)
(–3, –4)
(–1, 5)

Answers

The answer is -3,-4 because if the line is vertical the x axis stays the same which is -3 so this is the only correct answer

Answer:

-3 -4

Step-by-step explanation:

I
8. Classify 8 as a perfect square, a perfect cube, both, or neither.

Answers

Answer:

It's a perfect cube, but not a perfect square.

Step-by-step explanation:

2^3 = 8, meaning 8 is a perfect cube. But since 2^2 = 4 and 3^2 = 9, and 8 is in between, 8 is not a perfect square.

I hope this helped.

I need help! As soon as possible please?

Answers

Answer:

-13834.65819

Step-by-step explanation:

here you go

-13834.65819
Hopefully this helps

help I forgot how to do these questions

Answers

A x > 10 is the answer

Fred and Matt are playing basketball. If x represents the points Matt ended with, and 3x represents the points Fred ended with, what does that tell you about the relationship between Matt and Fred’s points?

Answers

It tells you that Fred has three times the score more than Matt.

This is because Matt has x points, Fred tops Matt by 3x points.

1. Given f(x) = 3x – 2 what is f (2x)?

Answers

Answer:

6x-2

Step-by-step explanation:

help please! click on pic.

Answers

Answer:

x=63

y=27

Step-by-step explanation:

to find x

180-117=63

to find y

90-63=27

please mark brainliest if correct

Answer:

x=63, y=27

Step-by-step explanation:

x is part of a line with 117, so you would do 180-117 to find x. Then you do 90-63 to find y, which is 27.

David has two jobs. He earns $8 per hour babysitting his neighbor's children and he earns $11 per hour working at the coffee shop. If David worked 15 hours at the coffee shop, write an inequality to represent the number of hours, x, babysitting that David will need to work to earn a minimum of $200. Use the inequality to find the number of full hours he must babysit to reach his goal of $200.

Answers

Answer:

The number of full hours he must babysit to reach his goal of $200 is 5 hours

Step-by-step explanation:

Let x be the no. of hours he must babysit to reach his goal of $200.

Cost for working 1 hour at coffee shop = $11

Cost for working 15 hour at coffee shop = [tex]11 \times 15=165[/tex]

Cost for working 1 hour babysitting = $8

Cost for working x hour babysitting = 8x

We are supposed to find the number of full hours he must babysit to reach his goal of $200.

165+8x=200

8x=200-165

[tex]x=\frac{200-165}{8}[/tex]

x=4.375

Hence The number of full hours he must babysit to reach his goal of $200 is 5 hours

Question 9(Multiple Choice Worth 1 points) (01.06 LC) Solve x -5y = 6 for x.​

Answers

the answer is x = 6 + 5y

Is -4 – -8 positive or negative?

Answers

Answer:

positive

Step-by-step explanation:

because that's how math works

PLEASE HELP I AM BEING TIMED!!!

Statment: Find the measure of the angle indicated by 19x+5

Options: 130
50
80
100

Answers

Answer:

100

Step-by-step explanation:

These two angles are corresponding which means they add up to 180.

so... 19x+5+(16x)=180

If you simplify...

35x+5=180

Then solve for x...

35x=175

x=5

Then take that 5 and fill it into 19x+5...

19(5)+5

95+5=100

1. What are the equation and slope of the line shown on the grid?

Answers

Answer:

y=2/5x-2

Step-by-step explanation:

The main equation you will need for this is y=mx+b

First, you have to find the slope. the equation for that is

-2-0 = -2  (y)

0-5= -5   (x)

A good way to remember this is rise over run or y is always over x

Slope = 2/5 (The negatives cancel out)

The great thing about this is that they have already given you your "y" intercept or "b" which is -2

If the angle ABC=60 and angle ABD=2x+4 and angle DBC=x-10, slove for x.

Answers

Answer:

x = 46 via Angle Addition postulate (2x+4 = 60 + x-10 )

Step-by-step explanation:

so a machine makes 80 copies in 2 1/2 min how many copies does it make in 0.25 min

Answers

Find copies per minute:

80 / 2.5 = 32 copies per minute.

Multiply copies per minute by total minutes:

32 x 0.25 = 8 copies

WORTH 20 POINTS PLZ HELP FAST IM TIMEDLinda has two glasses of apple juice. Glass A has 40 grams of juice at 25 °C. Glass B has 40 grams of juice at 40 °C.

Which of the following steps will make the kinetic energy of the molecules of the juice in both glasses equal?

Add 15 grams of juice at 25 °C to Glass A
Add 15 grams of juice at 40 °C to Glass B
Decrease the temperature of juice in Glass A by 20 °C
Increase the temperature of juice in Glass A by 15 °C

Answers

Answer:

20 Glass A

70 Glass B

Step-by-step explanation:


Where can we put parentheses in 45 – 22 +9 to make it equivalent to 14?
Choose 1 answer.
45 – (22 +9)
(45 – 22) +9

Answers

Answer:

45 – (22 + 9)

Step-by-step explanation:

45 – (22 + 9)  = 45 - 31 = 14

(45 – 22) + 9 = 23 + 9 = 32

Answer:

45 – (22 + 9)

45 - (22+ 9 )
45 - 31
14

A runner sprints 100m at 8m/s what is time?

Answers

Answer:

12.5 sec

Step-by-step explanation:

distance = speed x time

distance / speed = time

100/8 = 12.5

12.5seconds

hope this helps

brainliest plz?

x

True or False: In order to solve the equation below, you would add 6 to each side then
multiply by 8 on each side.
g/8- 6 = -12

Answers

I believe you would add 6 to both sides then divide by 8 instead of multiplying

On Monday Jim had -$20 in his bank account. On Tuesday Jim had -$60 in his bank account. What was the change in Jim's account?

Answers

80 if im not mistaking bc 60 +20 is 80

Answer:40

Step-by-step explanation:

Find the linear equation with
Slope= 2/3

y-intercept = 1

Answers

Answer:

I believe the answer would be using the form of y= mx+b, b is y intercept and slope is m. It would end up looking like y= 2/3x+1

Step-by-step explanation:

I think this is how a linear equation looks like but I'm a little rusty. If you have notes it probably says what I already stated. Good luck! :)

¿Como se llama la figura que esta debajo?

Answers

Donde esta la figura no lo veo

Is 2/3 x 5/8 the same as 5/8 x 2/3 explain.

Answers

Answer:

2/3 x 5/8 = 5/8 x 2/3 is True

Step-by-step explanation:

Simplify the following: Left-Hand

2/3×5/8

2/3×5/8 = (2×5)/(3×8):

(2×5)/(3×8)

2/8 = 2/(2×4) = 1/4:

5/(3×4)

3×4 = 12:

Answer: 5/12

___________________________

Simplify the following: Right-Hand

5/8×2/3

5/8×2/3 = (5×2)/(8×3):

(5×2)/(8×3)

2/8 = 2/(2×4) = 1/4:

5/(4×3)

4×3 = 12:

Answer: 5/12

A bag contains 20 counters. 12 of the counters are green. A counter is picked at random. What is the probability that it is green? Give you answer as a fraction.

Answers

Answer:

12/20 since the counter of green is of 12 out of 20 to be drawn.

Help me please and thanks

Answers

The answer will be A

Answer:

Step-by-step explanation:

A.

X is greater than negative eight and less than eight and the dots are marking the numbers on the number line

y+x=10
2x=4y-2
Solve of systems of equations

Answers

Answer:

{y,x}={  

3

11

​  

,  

3

19

​  

}

Step-by-step explanation:

Which number is rational?
√2
10
016

Answers

16 I think is a rational number

x/25 > 5

Answer must be simplified

Answers

Answer:

x > 125

Step-by-step explanation:

Step 1:

x ÷ 25 > 5        Equation

Step 2:

x > 5 × 25      Multiply 25 on both sides

Answer:

x > 125

Hope This Helps :)

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