A die is rolled 5 times. What is the probability that 1 occurs twice, 2, 3 and 4 occur once each, and 5 and 6 do not occur (round off to fourth decimal place)

Answers

Answer 1

Answer:

0.0077

Step-by-step explanation:

From the given information;

Each outcome possesses the same probability of 1/6 in a single roll.

The required probability can be estimated by using the multinomial distribution;

Therefore;

[tex]P = \dfrac{5!}{2!\times 1!\times 1!\times\times 1! }\times (\dfrac{1}{6})^2\times (\dfrac{1}{6})\times (\dfrac{1}{6})\times (\dfrac{1}{6})[/tex]

[tex]P = 60\times (\dfrac{1}{36})\times\dfrac{1}{216}[/tex]

P = 0.0077

The required probability = 0.0077     to 4 decimal decimals


Related Questions

Find 2 consecutive odd integers such that the sum of twice the larger integer and the smallest integer is 85.

Answers

Answer: Find an answer to your question Find 2 consecutive odd integers such that the sum of twice the larger integer and the smallest integer is 85.

Step-by-step explanation:

what is the solution to the following equation

Answers

Answer:

x²+5x+7 = 0

comparing above equation with ax² + bx +c

a=1, b = 5, c= 7

then

using quardatic formula

x = -b ±[tex]\sqrt{b^{2} - 4ac[/tex]

        2a

on solving option d is correct answer

Step-by-step explanation:

Need help fast plss will give brainliest to who is correct plss help

Answers

Answer:

A) (-3,-2)

Step-by-step explanation:

answers are

A. 41 degrees
B. 15 degrees
C.90 degrees
D. 83 degrees ​

Answers

Answer:

Step-by-step explanation:

Ok so what you are going to do is  set up and equation where 6x-7=4x-23

you will get x= -8 now plug it in

Find 3 consecutive integers such that the sum of all 3 integers is equal to 4 times the smallest integer minus 9. Please help I need it asap I will appreciate it a lotttt

Answers

Answer:

The three integers are 12,13 and 14

Step-by-step explanation:

Let

x,x+1,x+2 be three consecutive integers.

Out of these, the smallest one is x and largest is x+2 as it comes at last in the integers.

So according to given statement

[tex]x+(x+1)+(x+2) = 4x-9[/tex]

This is a linear equation in one variable, which can simply be solved by using equality properties

[tex]x+x+1+x+2 = 4x-9\\3x+3 = 4x-9[/tex]

Subtracting 4x from both sides

[tex]3x+3-4x = 4x-9-4x\\-x+3=-9[/tex]

Subtracting 3 from both sides

[tex]-x+3-3 = -9-3\\-x = -12\\x = 12[/tex]

The smallest integer is 12.

The other integers are:

x+1 = 12+1 = 13

x+2 = 12+2 = 14

Hence,

The three integers are 12,13 and 14

find the slope and the y-intercept of 7x = 2y-4

Answers

Answer:

Slope: [tex]\frac{7}{2}[/tex]

Y-intercept: (0, 2)

Step-by-step explanation:

7x = 2y - 4

-2y = -7x - 4

y = [tex]\frac{-7}{-2}[/tex] x - [tex]\frac{4}{-2}[/tex]

y = [tex]\frac{7}{2}[/tex] x + 2

The slope is always the coefficient of x and the y-intercept is always the constant. It looks like (0, constant) when written in y-int form.

Answer:

slope (m) is 7/2 (aka 3.5) and y-int is (0,2)

Step-by-step explanation:

I don't really have an explanation, basically rearrange the problem so that to y is on the left but it would be 2y so divide the right side by two. I an explain further in depth if needed

Iman and Mark went out for lunch. Part A: Their food and beverages cost $21.75, and there was a 7% meals tax. How much was the bill? A. $1.52 B. $15.23 C. $23.27 D. $23.49 Part B: After adding a tip, the total lunch cost was $27.19. What percent tip did Iman and Mark leave? A. 25% B. 18% C. 14% D. 10%

Answers

Answer:

C- The total is $23.27

The 7% tax is $1.52

find the product of 7.64​

Answers

Answer:

58.3696

Step-by-step explanation

7.64 *7.64=58.3696

what situation can be modeled using the same equation -4 + 4 equals 0​

Answers

The answer is B because it is at -4 then increases 4 so now it is 0 degrees .

What is the 100th term of the sequence if the first term is 5
and the common difference is 2?

Answers

Answer:

505

Step-by-step explanation:

sn=2a+(n-1)d

2*5+(100-1)5

10+(99)5

505

Which of the following expressions is a factor of the polynomial x2+3/2x-1?
x-1
x-1/2
X-2
x+3/2

Answers

Answer:

the answer is x-1/2

Here see the attachment

84 y is directly proportional to x. Given that y = 144 and x = 12. Find the value of y when x = 7.

Answers

84y = k x X
84 x 144 = 12,096
12,096 = k x 12 Divide by 12 each side
1,008 = k
84 y = 1,008 x 7
84y = 7056 divide by 84 each side

Y = 84

Under certain​ conditions, the average cost of driving a medium sedan in 2012 was ​$0.64 per mile. How much would it have cost to drive such a car 13000 miles in​ 2012?

Answers

Answer:

$8320

Step-by-step explanation:

.64 x 13000

Can someone help me please

Answers

P: -3x, 1y
Z:-3x, -4y
I: -1x, -4y

I really need help, please

Answers

Answer:

C: [tex]\frac{5}{2} + \frac{1}{2} i[/tex]

Step-by-step explanation:

Did this through my TI-89 calculator. ^^

A student has a range of values from 0.000001 to 1,000,000, but limited paper to graph these values on. How might the student be able to graph these results clearly?

Answers

Answer:

logarithmic scale

The student might be able to graph these results clearly by taking the log of the values.

What is logarithm of a number?"Logarithms are the inverse of exponents. ""x is the logarithm of n to the base b if [tex]b^x=n[/tex]"

For given question,

A student has a range of values from 0.000001 to 1,000,000

We need to find the way so that the student will be able to graph these results.

We can write  0.000001 as [tex]1\times 10^{-6}[/tex]

[tex]\Rightarrow 0.000001=10^{-6}[/tex]

and 1,000,000 as [tex]1\times 10^6[/tex]

[tex]\Rightarrow 1,000,000=10^6[/tex]

If we take the log of these range values, then it would be,

[tex]\Rightarrow log(10^{-6})=-6[/tex]

and [tex]log(10^6)=6[/tex]

This means, the student might be able to graph these results clearly by taking the log of the values.

Learn more about logarithm here:

https://brainly.com/question/20785664

#SPJ3

If you can answer this please help!

The parabola of a given quadratic function opens up. What is true about the vertex of that function?
The vertex is the maximum.
The vertex is unaffected.
There is no vertex.
The vertex is the minimum.

Answers

Answer:

D

Step-by-step explanation:

The vertex is a point where the slope is 0 so opening up the vertex is the minimum so option (D) will be correct.

What is a graph?

A graph is a diametrical representation of any function between the dependent and independent variables.

The graph is easy to understand behavior of the graph.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

Vertex is a point where the rate of change or slope of the function is zero.

Since if the slope is zero it means the tangent at that point will be horizontal.

If the parabola opens up then the point where it is changing its direction will be vertex as shown below.

So vertex has a minimum value of y.

Hence "The vertex is a point where the slope is 0 so opening up the vertex is the minimum so option (D) will be correct".

To learn more about graphs,

brainly.com/question/16608196

#SPJ2

Points (-2, 3) and (x, 0) have a slope of 1/5.Find the x coordinate of the point.

Answers

Answer:

x = -17

Step-by-step explanation:

y - y1 = m(x - x1)

y - 3 = 1/5(x - (-2))

y - 3 = 1/5(x + 2)

y - 3 = 1/5x + 0.4

y = 1/5x + 0.4 + 3

y = 1/5x + 3.4

Now we plug in y as 0 to find x

y = 1/5x + 3.4

(0) = 1/5x + 3.4

-3.4 = 1/5x + 3.4 - 3.4

-3.4 = 1/5x times 5

-3.4 times 5 = x

-17 = x

Answer:

x = -17 (Verified Answer) ✅

Step-by-step explanation:

If we know the slope, we can solve for an unknown coordinate. First, let's review how to calculate slope.

Slope = Rise/Run (Change in y/Change in x)

In this case, we know the slope, so we will write out the slope formula. We will use the substitution method to solve this.

m = rise/run

rise = y2- y1 substituting ----> 3 - 0 = 3

run = x2 - x1 substituting ----> -2 - x = run

Now, we can return to the slope formula, as we now have enough information to solve.

1/5 = 3/R

To solve, we simply need to find the equivalent fraction of 1/5. We will use a proportion.

1R = 5 x 3

R = 15

Now that we know R, we can substitute it into the equation for run.

So, we now have:

15 = -2 - x

Subtracting -2 from both sides, gives us x = -17.

Finally, we must check our answer to make sure we are getting the correct slope when we calculate.

m = (3 - 0)/(-2 - -17)

m = 3/15 OR 1/5

Since. this matches the original slope we were given, we can be sure the answer is correct.

Kevin has completed 36% of his running marathon. he has ran 9 miles. How long is the marathon?

Answers

Answer:

25 miles

pls tell if I'm wrong


!! please help timed

If the value of "y" varies directly with "x"
and y = -8 when x = 20, find "y" if x = -4.
Enter the number that belongs in the green box.
Reduce to simplest form.

Answers

Answer:

Step-by-step explanation:

Y= -2/5 x -4/1 so the answer is Y=8/5

Solve plz, this is due Tomorrow!!

Answers

.

Step-by-step explanation:

25) h=11

26). two sides are same = 12cm

27). time = 15 hours

28). veronica travelled = 6+1 = 7 days

29). number of tickets buyed by people each showing : 231

30) ©

A board measures 15 meters in length and is cut into two pieces. One-piece measures 7 meters. Write an equation to find the length of the other piece?
Pls help

Answers

Answer:  7.2 + L= 19.5

help me please? i needa help. am bad at maths.

Answers

Answer:

6/3 or 2 (you should probably write 2 though)

(there’s a couple notes in the pic too that will help you with slopes)

Fill in the blank with a number using digits. 11 x 26 = _____ twenty-sixes *

Answers

Answer:

286

I hope this answer helps you with your algebra

The sales tax in the town where Amanda lives is 9%. Amanda paid $36 in sales tax on a new stereo. What was the price of the stereo?

Answers

Answer:

$400

Step-by-step explanation:

9%= .09

$36÷.09=$400

Answer:

400

9 percent equals .09

36 divided by ,09 equals 400

400 would be your answer

Please help and I’ll mark brainliest if u give a small explanation

Answers

Answer:its 60

Step-by-step explanation:

look at g and put the number thats there on g

Please help i need it done asap
Thank you have a great day

Answers

I did this and I got the last answer
Hope this helps I know for sure it’s right so let me know if you got it right

A new, healthy drink has 160% of the “recommended daily allowance” (RDA) of vitamin J. If the RDA is 40 milligrams, how much vitamin J is in the new health drink?

Answers

Answer:

80

Step-by-step explanation:

Im not really sure just the thingy says that 80 was the right anwser

Answer:

64

Step-by-step explanation:

Sorry I'm really late.

Heidi has $4.55. She needs to buy bolts at the hardware store. Bolts cost $0.13 each.

What division equation and related multiplication equation could Heidi use to find how many bolts she can buy?

Answers

Answer

35

Step-by-step explanation:

4.55/.13=35. Also, Heidi could do 35x13. I hope this helps!

what is the correct evaluation of 15-3x, when x is equal to -2?

-15

21

15

-21​

Answers

Answer:

Step-by-step explanation:

15-3x

15-3(-2)

15+6

21

Answer:

21 is the correct answer

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