In a certain board game, a 12-sided number cube showing numbers 1–12 is rolled. If 4 such number cubes are rolled, what is the probability that at least 1 number cube will show a number 8 or larger?

Answers

Answer 1

The probability that at least 1 number cube will show a number 8 or larger is 0.83.

What is a binomial distribution in probability?

In an experiment with two possible outcomes, the likelihood of exactly x successes on n repeated trials is known as the binomial probability (commonly called a binomial experiment). The binomial probability is

[tex]n^C_xp^xq^{n - x}.[/tex]

Given, In a certain board game, a 12-sided number cube showing numbers 1 to 12 is rolled.

So, Numbers that are 8 or larger is 8, 9, 10, 11, 12.

Now, The probability(p) of getting a number 8 or larger P(X ≥ 8) = 5/12.

hence q = 1 - p = 7/12.

Therefore, If 4 such cubes rolled the probability that at least 1 number cube will show a number 8 or larger is,

P(X≥ 8) = [tex]^4C_1(\frac{5}{12})(\frac{7}{12})^4+^4C_2(\frac{5}{12})^2(\frac{7}{12})^2+^4C_3(\frac{5}{12}^3)(\frac{7}{12})^1+^4C_4(\frac{5}{12})^4(\frac{7}{12})^0[/tex].

P(X≥ 8) = 4(0.41×0.115) + 6(0.173×0.34) + 4(0.072×0.58) + 1(0.030×1).

P(X≥ 8) = 0.283 + 0.35 + 0.167 + 0.030.

P(X≥ 8) = 0.83 or 83% chance.

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Related Questions

PLEASE SHOW YOUR WORK.


Shawn designs a rectangular garden as shown below. He will design both rock sections to have the same width (x).


The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7). Shawn incorrectly says the area can also be found using the expression 30x + 7.


Describe the error in Shawn’s expression. As part of your explanation, find the difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression.

Answers

Answer:

a) Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7

b) The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as

98 square feet

Step-by-step explanation:

The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7). Shawn incorrectly says the area can also be found using the expression 30x + 7.

The correct area =

15(2x + 7).

= 30x + 105 square feet

The error in Shawn’s expression is

= 15(2x + 7)

= 30x + 7 square feet

Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7

The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as

30x + 105 square feet - 30x + 7 square feet

= 30x + 105 - (30x + 7)

= 30x - 30x + 105 - 7

= 98 square feet

What is the solution for -3w-4=w+4

Answers

Answer:

uhh

Step-by-step explanation:

carrot?

the answer is to this question is w=-2

4.3 m to centimeters

Answers

Answer: 430 cm

Step-by-step explanation:

Answer:

430 cm

Step-by-step explanation:

43 multiplied by 10 is 430

50 points! Right answers will get brainliest! Random answers will be reported

Answers

Answer:

Hope it helps u

Step-by-step explanation:

When rotating a point 270 degrees counterclockwise about the origin our point A(x, y) becomes A'(y,-x). This means, we switch x and y and make x negative,

hence A(2,1) so after 270 degree counter clockwise rotation the A  become,

A(1, -2)

Please brain-list the answer thanks.....

1 2 hopefully this helps

Helpppppppppp. plsssss.Struggling :(

Answers

Answer:

68°

Step-by-step explanation:

22°+68°=90° ......

1) The bakers at Healthy Bakery can make 290 bagels in 10 hours. How many
bagels can they bake in 23 hours? What was that rate per hour?

Answers

Answer:

667 bagels in 23 hours

29 bagels per hour

Step-by-step explanation:

We first find the unit rate in bagels per hour.

(290 bagels) / (10 hours) = 29 bagels/hour

Now we find the number of bagels made in 23 hours.

23 hours * 29 bagels/hour = 667 bagels

3. Ivan has completed 45% of his walk.
He has already walked 9 km. How much farther does he have left to walk?​

Answers

Answer:

11

Step-by-step explanation:

The required distance left to the walk will be 11 km.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

Let the total distance of the walk would be x km

As per the given information, the required solution would be as:

⇒ 45% of x = 9

45%  is expressed as 45/100 in fractional form

⇒ (45/100)x = 9

45/100  is expressed as 0.45 in decimal form

⇒ 0.45x = 9

⇒ x = 9/0.45

⇒ x = 20

So the total distance of the walk is 20 km

Since he has already walked 9 km.

So, he has left to the distance of the walk = 20 - 9 = 11 km

Therefore, the required distance left to the walk will be 11 km.

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Can you help? I really need help​

Answers

Answer:

5. find x= 32

6. find < C = 23

find c =

find a =

Sorry wish I could help more I need to learn more about this chapter in math.

f(x) = 2x + c
g(x) = cx + 7
fg(x) = 4x + d
C and d are constants.
Work out the value of d.

May someone help me pleaseeee

Answers

Answer:

c=2, d=16

Step-by-step explanation:

The value of c is 2 and value of d is 16 when f(x) = 2x + c, g(x) = cx + 7 and fg(x) = 4x + d

What is a function?

A relation is a function if it has only One y-value for each x-value.

Given,

f(x) = 2x + c...(1)

g(x) = cx + 7..(2)

fg(x) = 4x + d..(3)

We need to find the values of c and d

fg(x) = 2(cx+7) + c

Apply distributive property

fg(x) =2cx+14+c...*

Now compare * with equation 3

2cx=4x

2c=4

Divide both sides by 2

c=2

and 14+c=d

Substitute c in above equation

14+2=d

d=16

Hence, the value of c is 2 and value of d is 16 when f(x) = 2x + c, g(x) = cx + 7 and fg(x) = 4x + d

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what are the relative max and min. of this graph?

Answers

Relative Max is 6

Relative Min is -8

Amanda is decorating you new house. She found a table at Pottery Barn for $425. If the table is 45% off, what will it cost?

Answers

the table would be $233.75

Over the summer Marty reads 4 times as many pages as the number of pages Nelson and Jennifer read combined Marty reads 1,860 pages and Nelson reads 240 pages

Answers

She reads 4 timws as many pages as them together so you add the number of pages they eead them mhltiply it by 4 (1860+240)4=8400

Could somebody please help me with these?? It's due tomarrow

Answers

Example for Table 1:

y = x + 6

So if X=-8

1st Row -8+6=-2

2nd Row -4+6=2

3rd Row -2+ 6=4

4th Row -9+6=-3

5th Row 2+6=8

So for any table, the X in the table rule is the X that you are working on.

Answer:

i got you:

1) -2, 2, 4, -3, 8

2) 37, -3, 29, -67, -75

3) -36, 4, -4, -20, -12

4) -10, 6, -4, 8, 4

5) -2, 18, -16, 6, -10

6) -4, -15, 2, 0, -6

7) -25, 23, 5, 29, 11

8) 24, 38, -60, 3, 10

9) 2, 4, 9, -1, -3

10) -14, -8, -15, -10, -16

11) 9, 18, -21, -3, -24

12) -10, 35, -73, 71, -19

hope that helps

Step-by-step explanation:

1.) What is m<1? You don’t have to show work it is optional

Answers

I think it’s 150. Hope this helps

Brian can iron 3 shirts in 5 minutes. If Brian irons at a constant rate, how many shirts can he iron in 30 minutes? WILL GIVE BRANLIEST

Answers

Answer:

18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

30/5 = 6

6 * 3 = 18

BRAINLIEST FOR THE CORRECT AWNSER!! What is the measurement of

Answers

Easy the answer is D I remember doing that question

I doubled checked the correct awnser is D

I will give you 15 points

Answers

Answer: A, D

Step-by-step explanation:

What are the answers to these questions

Answers

F(-1)=2
F(2)=-1
F(3)=-3



The f(x) part is the input and the stuff after is the output

Can you guys please help me!!

Answers

32 it’s as simple as 4(5) + 12

Answer:

a. 32

b. 32

Step-by-step explanation:

a. 12 + 4y

They gave us the value of "y" which is "5", and substitute that into the expression.

12 + 4y

12 + 4(5)

12 + 20

32

b. 4 (y + 3)

They gave us the value of "y" which is "5", and substitute that into the expression.

4 ( y + 3 )

4 ( 5 + 3)

Distributive property (multiply what is in the parenthesis by what is out of it (4))

4 * 5 + 4 * 3

20 + 12

32

Hope this helped!

Have a supercalifragilisticexpialidocious day!

The graph of p = 400 and the graph of p = 50s - 200 intersect at the point (12,400). If the equation p = 50s - 200 represents the profit, p, based on s sales, what does the intersection best represent? Show work.

Answers

Answer:

This shows that the profit for 12 sales is 400

Step-by-step explanation:

If both graphs intersects then;

p = p

400 = 50s - 200

50s = 400+200

50s = 600

s = 600/50

s = 12

Substitute s =12 into p = 50s-200

p = 50(12) - 200

p = 600-200

p = 400

Hence the intersection (s, p) is (12, 400)

This shows that the profit for 12 sales is 400

ILL GIVE BRAINLIEST AND EVERYTHING ELSEEE HELP

Answers

Answer:

The Second One

Step-by-step explanation:

Commutative Property

What is the percentage of sugar in the syrup made of 10 kg of water and 2 kg of sugar. Thx yall :D

Answers

percentage of sugar is : 2/12 = 0.166 rounds to 0.17 = 17%

Find the slope of the following graphs.

A. 2/3
B. 3/2
C. 3
D. - 2/3

Answers

Answer:

Answer is A

Step-by-step explanation:

The slope of the shown line passing through points (3,2) and (0,0) is 2/3. The answer is option A.

Given the points (3,2) and (0,0), we can calculate the change in y and change in x as follows:

Change in y = 2 - 0 = 2

Change in x = 3 - 0 = 3

Now, we can substitute these values into the slope formula:

Slope = (change in y)/(change in x) = 2/3

Here, the line has a positive slope, indicating that as x increases by 1, y increases by 2/3.

This means that the line is ascending from left to right, sloping upwards.

Therefore, the slope of the line passing through points (3,2) and (0,0) is 2/3.

Hence, the answer is option A.

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Below are two parallel lines with a third line intersecting them.

Answers

Answer:

77

Step-by-step explanation:

180-103=77

Simplify Using the Distributive Property –(3a2 + 5a - 4)​

Answers

Answer:

[tex]-3a^2 - 5a + 4[/tex]

Step-by-step explanation:

N/A

Answer:

-3a2 -5a +4

Step-by-step explanation:

since there us a negative at the front, the sign/ operations change

Select all of the expressions that represent an `8\%` increase compared to `x`.

Answers

Answer:

1.08X

X+0.08X

(1+.08)X

Step-by-step explanation:

What is m∠DEF?
Enter your answer in the box.

There is a triangle DEF in which side DE is congruent to side EF and G is the midpoint of the side DF. Segment EG intersect the side DF at point G. The measure of angle DEG is (3y+4) degrees and the measure of angle FEG is (5y-10) degrees.

Answers

Answer:

m<DEF = 8y - 6

Step-by-step explanation:

Given that: DEG = [tex](3y +4)^{o}[/tex], and FEG = [tex](5y-10)^{o}[/tex].

The given triangle is an isosceles triangle with sides DE ≅ DF.

But,

m<DEF = DEG + FEG

            =  [tex](3y +4)^{o}[/tex] + [tex](5y-10)^{o}[/tex]

            = 3y + 4 + 5y - 10

            = 8y - 6

m<DEF = 8y - 6

Therefore, the measure of < DEF is 8y - 6.

*starts crying from happiness*❤️❤️❤️❤️❤️❤️❤️❤️❤️

Answers

Step-by-step explanation:

Write an equation of the line that passes through the pair of points. (−4, −2), (4, 0)

Answers

Answer:

y = 1/4x-1

Step-by-step explanation:

Ok first, you need to find the slope:

0+2 = 2=1

4+4 = 8=4

Slope: 1/4

y=1/4x+b

Now you need to find the y intercept which is b. For that you can take a coordinate pair and substitute it in the equation to find b.

I will use (4,0)

0=1/4 X 4 + b

0=x+b

minus x on both sides. x=1

-1=b

An equation of the line that passes through the pair of points

(- 4, - 2), (4, 0) is  y + 2 = (1/4)(x + 4).

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, A  line that passes through the pair of points. (−4, −2), (4, 0).

We also know slope(m) = (y₂ - y₁)/(x₂ - x₁) = (0 + 2)/(4 + 4) = 1/4.

So, the equation of a line in point-slope form is y - y₁ = m(x - x₁).

∴ y + 2 = (1/4)(x + 4).

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John and Robin like to collect stones. John has n stones, and Robin has 68 stones. Together they have a total of 98 stones, Write an equation to describe this situation. ​

Answers

Answer:

n+68=98 find n (n=30)

Step-by-step explanation:

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