Mathematics College

uppose that a single die with 8 sides (numbered 1, 2, 3, ... , 8) is rolled twice. What is the probability that the sum of the two rolls equals 5

Answers

Answer 1

Answer:

1/16 = 0.0625 = 6.25% probability that the sum of the two rolls equals 5.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Die with 8 sides

This means that the total number of outcomes is [tex]T = 8^2 = 64[/tex]

Outcomes in which the sum of the two rolls is 5:

(1,4), (4,1), (2,3), (3,2)

4 desired outcomes, so [tex]D = 4[/tex]

What is the probability that the sum of the two rolls equals 5?

[tex]p = \frac{D}{T} = \frac{4}{64} = 0.0625[/tex]

1/16 = 0.0625 = 6.25% probability that the sum of the two rolls equals 5.

Answer 2

The probability that the sum of the two rolls equals 5 is 1/16

What is probability

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

Given a single die with 8 sides (numbered 1, 2, 3, ... , 8) is rolled twice, the total outcome will be:

Total outcome = 8^2

Total outcome = 64

For the sum of two rolls, the expected outcome will be:

E = {(1, 4), (4, 1), (3, 2), (2, 3)}

n(E) = 4

Pr(sum of the two rolls is 5) = 4/64

Pr(sum of the two rolls is 5) = 1/16

Hence the probability that the sum of the two rolls equals 5 is 1/16

Learn more on probability here; https://brainly.com/question/24756209

Related Questions

y = 3x +4
y = -2
A method by solving systems of equations by adding or subtracting to eliminate a variable

Answers

Plug in -2 for y then solve for x. The answer should be x= -2

Figure D'E'F'G'is a dilation with center (0,0) of figure DEFG. What is the scale factor? Enter your answer in the box.

Answers

The scale factor is 4.

Important information:

Figure D'E'F'G' is a dilation with center (0,0) of figure DEFG. Scale factor:

From the given figure it is clear that:

DG = 2

D'G' = 8

The scale factor is:

[tex]k=\dfrac{D'G'}{DG}[/tex]

[tex]k=\dfrac{8}{2}[/tex]

[tex]k=4[/tex]

Therefore, the scale factor is 4.

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https://brainly.com/question/19896181

Tally marks are always
recorded in bunches of
(4 5 1 2)

Answers

Answer:

what is the ?

Step-by-step explanation:

Answer:

Step-by-step explanation:

24 = 2w - 10 Solve for w, simplify your answer as much as possible

Answers

Answer:

the answer is 17

Step-by-step explanation:

2w-10=24

10+24=34

34/2=17

so w=17

Answer:

w=17

Step-by-step explanation:

y = 2x + 4 and y = 3x
+ 2

Answers

2x+4=3x+2
2x=3x-2
-1x=-2
X=2
Hope this helps!

Mhanifa please help I need this done ASAP! I will mark brainliest. I don’t want people putting random answers! Thanks Mhanifa for all the help you give :) random answers will be reported y’all so you ain’t gonna get away with it!

Answers

Answer:

A. Obtuse isoscelesD. Right scalene

Step-by-step explanation:

Triangle 1

This is isosceles as 2 sides marked equal and it has 135° angle which is obtuse as is between 90° and 180°

Correct option is

A. Obtuse isoscelesTriangle 2

This is right triangle and all sides have different lengths.

Correct option is

D. right scalene

determine whether ABCD is a parallelogram The vertices are A(-2,3) , B(3,2), C(2,-1) and D(-3,0)

Answers

Answer:

Yes, this is a parallelogram

Step-by-step explanation:

I need help please i really need it (14 points)

Answers

Answer:

point b

Step-by-step explanation

piont b can go to piont e

Answer:

Step-by-step explanation:

Go through each point and see which ones works:

Are 6(n + 3) - 4 and 6n + 14 equivalent expressions?

Answers

Answer:

yes

Step-by-step explanation:

because if you multiply 6 and n it is 6n and 6 x 3 are 18 but subtract 4 and it is correct

yes, they are because they both have a sum of 20

what is the slope of the line that passes through the points (5,9)and (-3,9).

Answers

Answer:

[tex]\displaystyle m=0[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (5, 9)

Point (-3, 9)

Step 2: Identify

x₁ = 5, y = 9

x₂ = -3. y = 9

Step 3: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{9-9}{-3-5}[/tex][Slope] [Fraction] Subtract: [tex]\displaystyle m=\frac{0}{-8}[/tex][Slope] [Fraction] Divide: [tex]\displaystyle m=0[/tex]

Tara wants to draw rectangles that each have an area of 24 square inches. The length and width of each rectangle are whole numbers of inches.

Answers

Answer:

it could be the width is 8 and the length is 3

Step-by-step explanation:

3 x 8= 24 hope this helps

The price listed for 4 dinner plates at a home store is $23.88. What amount will Jane need to pay, if she decides to purchase 10 such dinner plates?

Answers

If you want to answer this, then you’ll first have to figure out how much money the one plate costs. So you would divide $23.88 by 4 and the number you get is how much they paid for one plate.

Next you would have to take the number you get from the division problem and multiply that by 10. That will give you your answer for how much she will need to pay.

Work:
$23.88 / 4 = 5.97
5.97 x 10 = 59.70

She needs to pay $59.70 for the plates.

Louis wants to carpet the rectangular floor of his basement. The basement has an area of 4,335 square feet. The width of the basement is
3/5 its length. What is the length of Louis's basement? The length is blank feet.

Answers

Answer:

The length of Louis's basement is 85 feet.

Step-by-step explanation:

The area of the basement, A = 4,335 square feet

The width of the basement is 3/5 its length.

Let length be l.

Width = (3/5)l

The area of the basement is given by :

[tex]A=l\times b\\\\4,335 =l\times \dfrac{3}{5}l\\\\4,335 =\dfrac{3}{5}l^2\\\\l^2=\dfrac{4,335 \times 5}{3}\\\\l=\sqrt{\dfrac{4335\times5}{3}}\\\\l=85\ ft[/tex]

So, the length of Louis's basement is 85 feet.

The graph shows the relationship between sugar and water in a fruit punch recipe.
Write an equation to represent the graph in terms of y and x.
(PLEASE HELP ME)

Answers

Answer:

Step-by-step explanation:

The answer will be 42

Need help! (5 3/4 1 5/6) - 6 7/12

Answers

Answer:

Step-by-step explanation:

7/12 / 3/10 = 35/

= 1 17/

≅ 1.9444444

What is the probability of rolling a six on a fair die?

Answers

Answer: 1/6

Step-by-step explanation: To find the probability of rolling a six,

let's use our ratio for the probability of an event.

number of favorable outcomes / total number of outcomes

Since only one side of a die has a six on on it, the number of favorable

outcomes for rolling a six is 1 and since there are six sides to a die and it's

equally likely that the die will landy on any of these sides, the total number

of outcomes is 6.

So the probability of rolling a six is 1/6.

Help&EXPLAIN

Don’t use for points or will be reported and I’ll take the points back

Answers

Answer:

A. obtuse

Step-by-step explanation:

This is because in an obtuse angled triangle one of its angle is greater than 90° and here angle RQS = 112° which is greater than 90°, so it's a obtuse triangle.

Answer:

A. obtuse triangle

Step-by-step explanation:

the degree of RQS is greater than 90º

Answer please I would appreciate it :)

Answers

Answer:

136 units²

Step-by-step explanation:

5x7=35

6x7=42

1/2(4)(6)=12

35+35+42+12+12=136

All the answers you need is at the top

Answers

Answer:

I don't know if you need help, but the answer to the question in the picture is indeed A. :)

Sam traveled 56 miles in 8 hours. If he traveled at the same rate on the next day,how far can he go the next day,how far could he go in 14 hours.

Answers

Answer:

Step-by-step explanation:

56 miles/(8 hours) = 7 miles/hour

14 hours × 7 miles/hour = 98 miles

help me pliss
which one is supposed to be correct?

Answers

A is the answer I think

i am pretty sure it is A

Find the area of the composite figure. First, find the area of the triangle. 3 cm Triangle Area = [?] cm2 6 cm Rectangle Area = [] cm2 9 cm Total Area of Composite Figure = [ ] cm2 Enter

Answers

Answer:

The area of the triangle is 9 and the area of the regtangle is 54 so when you add them you will get 63 i hope it will help!

What the expression is?

Answers

Answer:

Step-by-step explanation:

Answer:

The answer is 29

Given the statement ΔQRS ≅ ΔXYZ, list all congruent parts you can conclude about the two triangles. Explain.

Answers

Answer:

Side QR is congruent to Side XY.

Side RS is congruent to Side YZ.

Side SQ is congruent to Side ZX.

Angle Q is congruent to Angle X.

Angle R is congruent to Angle Y.

Angle S is congruent to Angle Z.

Step-by-step explanation:

Side QR is congruent to Side XY because triangle QRS is congruent to triangle XYZ and each point of a triangle is in corresponding order with a point of the other triangle. For example, Q matches up with X since they both are listed first in their respective sequence.

Find the pattern. What numbers come next?
61, 54, 47, 40,

Answers

Answer:

Step-by-step explanation:

It's decreasing by 7

The relation is the descending the series by 7 and the next term is 33.

We have to determine, find the pattern and what numbers come next

We have given that, 61, 54, 47, 40.

What is the series?

A series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other.

61-54=7

54-47=7

47-40=7

So the next term is

40-7=33

Therefore the relation is the descending the series by 7 and the next term is 33.

To learn more about the series visit:

https://brainly.com/question/25870256

PLS HELP ASAP GIVING BRAINLIEST

PLZPLZPLZPLZPLZPL

Answers

1.5 im sorrry again if im wrong:(

Step-by-step explanation:

im sorry if i am wrong

Answer:

178.64 square cm

Step-by-step explanation:

5.8 x 8.8 x 2 = 102.08

8.8 x 8.7 = 76.56

76.56 + 102.08 =

178.64

Hope that helps!

Amber bought 3 kg of walnuts for $6.75 per kg and 4 kg of almonds for $8.69 per kg. She gave the cashier a $100 bill. What should Amber get back in change?

Answers

She should get $44.59 back in change

3(6.75) + 4(8.79) = 20.25 + 35.16 = 55.41

100 - 55.41 = $44.59

- 2x – 117 = = 10x + 59

Answers

Answer:

[tex]\huge\boxed{x=-\dfrac{44}{3}=-14\dfrac{2}{3}}[/tex]

Step-by-step explanation:

[tex]-2x-117=10x+59\qquad|\text{add 177 to both sides and subtract}\ 10x\ \text{from both sides}\\\\-2x-10x-117+117=10x-10x+59+117\\\\-12x=176\qquad|\text{divide both sides by (-12)}\\\\\dfrac{-12x}{-12}=\dfrac{176}{-12}\\\\x=-\dfrac{176:4}{12:4}\\\\x=-\dfrac{44}{3}[/tex]

Hi can someone help me out. This is due by the end of the day.

Answers

4/10 = 2/x

simplify 4/10 into 2/5

2/5 = 2/x

now to prove it algebraically, cross multiply
2x = 10
x = 5

the answer is c

Mrs. Jordan participates in a math contest. She completes each question in 1/2
a minute. How long does it take Mrs. Jordan to complete 12 questions?

Answers

it takes mrs. jordan 24 minutes to complete 12 questions.

if she completes each question in 1/2 a minute, then:

1/2 / 12 questions = 24 minutes.

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