Consider rolling dice and getting a total of 8. Find the probability if two dice are rolled. (Enter the value of probability in decimals. Round the answer to three decimal places.) (You must provide an answer before moving to the next part.)

Answers

Answer 1

Answer:

[tex]Pr = \frac{2}{9}[/tex]

Step-by-step explanation:

Given

A roll of two dice

Required

Probability of getting a sum of 8

First, we list out the sample space

[tex]S =\{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6),(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6), (3, 1) (3, 2) (3, 3)[/tex][tex](3, 4) (3, 5) (3, 6), (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6),(5, 1) (5, 2) (5, 3) ,(5, 4) ,(5, 5) ,(5, 6),[/tex]

[tex](6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)\}[/tex]

The total is:

[tex]n(S) = 36[/tex]

From the sample space, the outcomes that give a sum of 8 are:

[tex]Sum =\{(2, 6), (3, 5),(4,4),(5,3),(6,2)\}[/tex]

The total is:

[tex]n(Sum) = 8[/tex]

So, the probability is:

[tex]Pr = \frac{n(Sum)}{n(S)}[/tex]

[tex]Pr = \frac{8}{36}[/tex]

[tex]Pr = \frac{2}{9}[/tex]


Related Questions

The triangle shown below has an area of 40 units. Find the missing side.
8 and 9 are both sides (help meeee)

Answers

The answer is 10

Because the formula for area of a triangle is b x h/2 so you would 8 *10 which would be 80 then you would divide 80 by two and then you would get your answer.

What is the answer to this ?

Answers

Answer:

the answer is 180

Step-by-step explanation:

The answer is 180.

I hope this helps

54 divided by u = 9.

Answers

Answer:

6 = u

Step-by-step explanation:

54 / u = 9

We have to isolate "u" all by itself;

54 = 9*u

54 / 9 = u

6 = u

Hope this helps!

Answer:

6

Step-by-step explanation:

We need to find of u value such that , 54 divided by u = 9. Converting it into equation ,

Equation :-

→ 54/u = 9

→ 1/u = 9 × 1/54

→ 1/u = 1/6

u = 6

Hence the required answer is 6.

Your mom hands you a stack of utensils to set the table for a dinner party for nine people. If each place setting includes three utensils, how many utensils did your mom hand you? Use the equation = 3 to solve.
a. x=3
b. x=1
c. x= 27
d. X= 9​

Answers

Answer:

C. x= 27

Step-by-step explanation:

What is the sum of 4 x 10 and 3 x 10 written in standard form?

Answers

the sum is 70 seventieth 70th

Answer:

Step-by-step explanation:

Add together the multipliers 4 and 3 to get 7; then we have 7*10,  or 70.

help is very much appreciated!

Answers

Answers:

VolumeSurface area

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

Explanation:

The volume is the amount of stuff that a container can hold on the inside, while the surface area is the amount of stuff that goes on the outside of the container (eg: the amount of paint or wallpaper). In the case of wallpapering a room, we're actually doing the inner walls rather than the outside walls; however, it's the same concept. The surface area only deals with the surface and we want to find out how much area we have to cover. That way we can know how much wallpaper to buy. For problem 1, he needs to know the volume so he can find out how much trash each can would be able to hold. The greater the volume, the larger the bin. For instance a small wastebasket would have a small volume compared to a large waist high heavy duty trash container.

2. The cost of a bicycle is * 2895. Find the cost of 1486 bicycles,
. A truck can carry 6785 kg of goods. How much can 759 trucks carry?​

Answers

Answer:

4,301,970

5,149,815

Step-by-step explanation:

The cost of a bicycle is 2895

Therefore the cost of 1486 bicycles is

= 2895×1486

= 4,301,970

A truck can carry 6785 kg of food

Therefore the amount in which 759 truckj can carry can be calculated as follows

= 6785×759

= 5,149,815

z^2+x-x: use x=3, and z=-2

Answers

Answer:

31 and 4

Step-by-step explanation:

Find a polynomial f(x) of degree 3 that has the following zeros. -5, 8, 2 Leave your answer in factored form

Answers

Answer:

f(x) = (x+5)(x-8)(x-2)

Step-by-step explanation:

If we know the zeros, the polynomial is of the form

f(x) = (x-a)(x-b)(x-c)  where a,b,c are the zeros

f(x) = (x - -5)(x-8)(x-2)

f(x) = (x+5)(x-8)(x-2)

Answer:

f(x) = (x + 5)(x - 8)(x - 2)

Step-by-step explanation:

Given a polynomial with zeros x = a , x = b , then the corresponding factors are

(x - a) and (x - b)

The polynomial is a product of the factors, that is

f(x) = (x - a)(x - b)

Here the zeros are x = - 5, x = 8, x = 2, then corresponding factors are

(x - (- 5)), (x - 8), (x - 2) , that is

(x + 5), (x - 8), (x - 2) and the polynomial is

f(x) = (x + 5)(x - 8)(x - 2)

Plz help me well mark brainliest if correct

Answers

C
Hope that helped
Sorry if it’s wrong

The sum of Paul and Steve's ages is 61. Steve is one year older than Paul. How old is Steve?

Answers

Answer:

62 year old is he is right

Answer:

Step-by-step explanation:

let the paul age be x

and steve age also be x+1

x+1+x=61

2x+1=61

2x=61-1

x=60/2

x=30

so steve is 31 years.

Emelia pays $24 to rent a boat at the lake for up to 6 hours she constructs the inequality and number line below to represent the number of hours x she can use the boat

Answers

Answer:

She has an initiall amount of 6 hours, so if T is the amount of time that passed since she rented the boat, the inequality that describes this system is:

0≤ T ≤ 6

This means that she can use the boat from 0 hours to 6 hours, here we are allowing the intermediate values because, of course, she can return the boat earlier than in the given time.

From this we have that the maximum time left that she has can be written as:

x + T = 6

so if T = 3h, meaning that 3 hours passed, she has:

X + 3 = 6

x = 6 - 3 = 3

3 hours left.

Step-by-step explanation:

The sides of an isosceles triangle have lengths of 10, 10, and 4. Find the measures of the base angles.

Answers

Answer:

The base angles measure 78.46 degrees to the nearest hundredth.

Step-by-step explanation:

Applying the Cosine Rule:

10^2 = 10^2 + 4^2 - 2.4.10cosX     where X is a base angle.

cos X = (100 - 100 - 16)/ (-80)

cos X = -16/-80

cos X = 0.2

X = 78.463 degrees

please tell me where to graph this!! (include if i open circle or not please) (NO FILE ANSWER!!!)

Answers

Answer:

1.Make the circle open

2.put the dot on 5

3. change direction

Step-by-step explanation:

A solid dot on a number line graph indicates that the given number should be included as a possible solution, whereas an open dot indicates that the given number cannot be a solution. For example, if you graph x > 7, you place an open dot at 7.

Have a nice day! :-)

Answer:

closed circle on 3 with line pointing right

Step-by-step explanation:

the number can be greater than or equal to 3 so it means that includes 3 so closed circle on 3 and then it points right towards the bigger numbers because it can be greater than 3

carol rolled a dice 150 times she rolled a six 39 time

Answers

Answer:

nice

Step-by-step explanation:

whats the rest of the problem or is it just that she rolled a dice

Solve for x
2
х
al
2

Answers

Answer:

4/5 = x

Step-by-step explanation:

2/5  = x/2

Using cross products

2*2 = 5x

4 = 5x

Divide by 5

4/5 = 5x/5

4/5 = x

Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]

[tex] \frac{2}{5} = \frac{x}{2} [/tex]

Use the cross multiplication method.

[tex]2 \times 2 = x \times 5 \\ 4 = 5x \\ \frac{4}{5} = x[/tex]

Answer = [tex] \frac{4}{5} [/tex]

A riddle for the day
I am less than 7 tens and more than 4 tens I am a odd number if you add both my digits you will get 11 which number am I?
47
65
67
74

Answers

Answer:

two of them are possible which one is the correct

Two of them are correct i dont know

The band must decide when to meet for a practice. The possible days are Tuesday or Wednesday. The possible times are 3, 4, or 5 p.m.

Write the sample space to represent all of the options. How many options are there?

Answers

Answer:

There are 6 options, sample space is below.

Step-by-step explanation:

The band has 2 days to pick from. For each day, they have three different options for times. 2 days x 3 times = 6 options.  Therefore, the sample space is: (usually this would be a picture, with arrows. search it )

for Tuesday: 3, 4, or 5

for Wednesday: 3, 4, or 5

Joe is recording the percentages he earned on each quiz In his math class. Here are his results for the last 7 quizzes. 72, 82, 65, 67, 80, 81, 67 Find the range of the data set.​

Answers

The answer is 16 because u need to subtract the largest and the lowest

Plz help me well mark brainliest!!


What is the surface area of the prism in square feet?

9 square feet
24 square feet
26 square feet
O 52 square feet

Answers

Answer:

SA = 52 ft²

Step-by-step explanation:

The opposite faces of the prism are congruent , then

SA = 2(3 × 2) + 2(2 × 4) + 2(3 × 4)

     = 2(6) + 2(8) + 2(12)

     = 12 + 16 + 24

     = 52 ft²

Answer:

52

Step-by-step explanation:

Surface area = sum of faces areas

SA of a rectangular prism = 2 ( lw + wh + lh )

where l = length, w = width and h = height

The prism has the following dimensions

l = 3

h = 4

w = 2

That being said we want to plug in these dimensions into the formula

SA = 2 ( 3*4 + 4*2 + 2*3 )

3*4=12

4*2=8

2*3=6

SA = 2 ( 12 + 8 + 6 )

12 + 8 + 6 = 26

SA = 2(26)

SA = 52

solve the triangle please

Answers

Answer:

b

Step-by-step explanation:

b

Okay can somebody please me fast with this problem

Answers

Answer:

3

Step-by-step explanation:

I don't know plz correct me If I'm wrong

Also brainliest?

Step-by-step explanation:

skakisjsjsjjajabbajaj

HELP ME!! 1+3+5+....+97+99

Answers

use photo math or mathpapa

the table shows the total number of apples pears and oranges in a fruit basket. Which statement represents the relationship between the total pieces of fruit and the number of pears in the basket

Answers

Answer:

A. There is four times as much total fruit as pears.

Sara is planning on fully renovating her kitchen. She figures that this will cost a total of $25,750. If Sandra already has $21,400 saved up, what annual interest rate
compounded semiannually would Sara need to earn in order to have the required
funds if she invests her money for 2.5 years?

Answers

Answer:

She needs an annual interest rate of 7.54%.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

She figures that this will cost a total of $25,750.

This means that [tex]A = 25750[/tex].

Sandra already has $21,400 saved up

This means that [tex]P = 21400[/tex].

Semianually compunding, 2.5 years.

This means that [tex]n = 2, t = 2.5[/tex]

What interest rate?

We have to find r. So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]25750 = 21400(1 + \frac{r}{2})^{2*2.5}[/tex]

[tex](1 + 0.5r)^5 = \frac{25750}{21400}[/tex]

[tex]\sqrt[5]{(1 + 0.5r)^5} = \sqrt[5]{\frac{25750}{21400}}[/tex]

[tex]1 + 0.5r = (\frac{25750}{21400})^{\frac{1}{5}}[/tex]

[tex]1 + 0.5r = 1.0377[/tex]

[tex]0.5r = 0.0377[/tex]

[tex]r = \frac{0.0377}{0.5}[/tex]

[tex]r = 0.0754[/tex]

0.0754*100% = 7.54%

She needs an annual interest rate of 7.54%.

1,2,2,4,8,32,? what comes next?

Answers

Answer:

64

Step-by-step explanation:

1 x 2 = 4

4 x 2 = 8

8 x 2 = 32

32 x 2 = 64

Answer:

256

Step-by-step explanation:

1, 2, 2, 4, 8, 32

this is how the pattern works;

1*2 = 2

2*2 = 4

2*4 = 8

4*8 = 32

8 * 32 = 256  by calculator

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

30

you can easily find out the answer by multiplying 2/3 by 10 on both the numerator and denominator to get 20/30 which is the amount of people that like the chip flavor. the other 10 is the people that don't like it.sorry if I gave you a stroke but 20 people like the chip and 10 people don't so theres 30 people in total

What is the same ration of 2/3

Answers

Answer:

4/6

Step-by-step explanation:

Answer:

4/6

Step-by-step explanation:

Can someone please help.

Answers

Answer:7-10

Step-by-step explanation:

In this question it is asking what is the biggest change in the temperature that happened "next to the other one" on the table

And the change from 7-10 is the highest change that is "next to each other"

Find all six trigonometric ratios for the triangle shown. Show all work. In order to enter
mathematical text, click "Insert" and then "Equation".
20

15

Answers

Answer:

use the required formulas please !
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