if Alice and Finn roll two number cubes. Which of the following rules will make the game fair?

1Alice wins if a total of 5 is rolled. Finn wins if a total of 9 is rolled.
2Alice wins if a total of 7 is rolled. Finn wins if a total of 8 is rolled.
3Alice wins if a total of 3 is rolled. Finn wins if a total of 10 is rolled.
4Alice wins if a total of 4 is rolled. Finn wins if a total of 11 is rolled.

Answers

Answer 1

Answer: Option A is correct.

Step-by-step explanation:

Since we have given that

Number of cubes Alice and Finn roll = 2

Sum of dices has outcome of  7 as the highest probability.

So,when, we move away from the probability gets equal.

Let A: Event of getting a total of 5.

Let B : Event of getting a total of 9.

So, [tex]A=\{(2,3),(3,2),(4,1),(1,4)\}[/tex]

And [tex]B=\{(5,4),(5,4),(6,3),(3,6)\}[/tex]

so, Probability of getting event A and B respectively.

[tex]P(A)=\frac{4}{36}=\frac{1}{9}\\\\and\\\\P(B)=\frac{4}{36}=\frac{1}{9}[/tex]

So, the game will make fair as both have equal possibility to win.

Hence, Option A is correct.

Answer 2

Answer:

Alice wins if a total of 5 is rolled. Finn wins if a total of 9 is rolled.

Step-by-step explanation:


Related Questions

luna ray has 1 orange pick for every 2 green picks. how many green picks does luna have if she has 12 total picks.

Answers

luna has 8 green picks

Answer:

8 green

Step-by-step explanation:

orange: green

1 :2

1+2 = 3 so she has 3 total picks

12/3 =4

So we need to multiply by 4

1*4 : 2*4    total pick 3*4

4:8  12 total picks

4 orange  8 green   12 total

The team score in a basketball game depends on the number of baskets scored in the game
A. Score(game), or S(g)
B. Score(basketball), or S(b)
C. Game(score), or G(s)
D. Team(score), or T(s)

Answers

Answer:

B is the answer, hope this helps.



Final answer:

The subject of this question is Mathematics. The dependent variable in a basketball game is the team score, represented by option D: Team(score), or T(s).

Explanation:

The subject of this question is Mathematics. The question is asking about the dependent variable in a basketball game, which is the team score. The team score depends on the number of baskets scored in the game, represented by option D: Team(score), or T(s).

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Evaluate the expression when x = 32 and y = 2.

x/4y

1/16
16/21
2
4

Answers

Put the values of x and y to the expression:

[tex]x=32,\ y=2\\\\\dfrac{x}{4y}=\dfrac{32}{(4)(2)}=\drac{32}{8}=4[/tex]

Answer:

4

Step-by-step explanation:

agent burn transferred classified files from the CIA Mainframe into his flash drive the drive had 36.5 megabytes on it before the transfer and the transfer happened at a constant rate after 125 seconds there were 549 megabytes on the drive the drive had a maximum capacity of 1000 megabytes. What was the speed of the transfer

Answers

Answer:

see below  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

549 - 36.5 = 512.5mb were trf

512.5/125 = 4.1mb per second

Answer:

Step-by-step explanation:

The speed of the transfer was 4.1 megabytes per second. It took the drive 235 seconds to be completely full.

Please help my mother is yelling at me to go to bed

Answers

Answer:

a) 26

b) 48

c) 54

d)74

Step-by-step explanation:

and negative divided by a negative is postitive right? yes, then it is just simple division

In the game "let's make a meal," there are 10 covered dishes to choose from: 2broccoli,2cake,2 carrot,1chicken,2fish,and 1 meatloaf

What is the probability of choosing a vegetable

A:4/5
B:1/2
C:1/10
D:2/5

Answers

Answer:

D:2/5

Step-by-step explanation:

There are 4 vegetables to choose from; 2 broccoli and 2 carrots.  

This is out of 10 covered dishes.

This gives the probability 4/10, which simplifies to 2/5.

Answer : The correct option is, (D) [tex]\frac{2}{5}[/tex]

Step-by-step explanation :

Probability : It is defined as the extent to which an event is likely to occur. That means, it is measured by the ratio of the favorable outcomes to the total number of possible outcomes.

[tex]\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of favorable outcomes}}[/tex]

Total favorable outcomes are, 2 broccoli, 2 cake, 2 carrot, 1 chicken, 2 fish, and 1 meat loaf = 10

Favorable outcomes of choosing a vegetable are, 2 broccoli and 2 carrot

Number of favorable outcomes of choosing a vegetable = 4

Total number of outcomes = 10

[tex]\text{Probability}=\frac{\text{Number of favorable outcomes for a multiple of 3}}{\text{Total number of favorable outcomes}}[/tex]

[tex]\text{Probability}=\frac{4}{10}[/tex]

[tex]\text{Probability}=\frac{2}{5}[/tex]

Therefore, the probability of choosing a vegetable is, [tex]\frac{2}{5}[/tex]

The parent function `f(x) = root (3)(x - 1)` is transformed to `g(x) = root (3) (-x-1).` Which graph correctly shows the functions f(x) and g(x)?

Answers

Answer:

C

Step-by-step explanation:

f(x) = ∛(x-1) has a positive slope everywhere. Graphs A, C, D all have f(x) properly shown.

g(x) = f(-x), so is a reflection of f(x) across the y-axis. Only graph C shows this properly.


Answer:

The answer is C (my colors are reversed)

Step-by-step explanation:

I would never have been able to guess the syntax of this question (that it was a cube root for one thing) and am posting my answer only so you can choose the answer of SQDF as Brainliest.

Having found out the syntax, Desmos can reproduce the graph and that will give you the answer.

Red: f(x) = cube root(x - 1)

Blue: g(x) = cube root(-x - 1)

Does (6 , -3) make the equation y=-2x true ?

Answers

Answer:

No

Step-by-step explanation:

Note that:

(x , y) = (6 , -3) ∴ x = 6, y = -3

Plug in 6 for x in the equation, and -3 for y.

y = -2x

(-3) = (-2)(6)

Simplify. Multiply.

(-3) = (-12)

-3 ≠ -12 ∴ (6 , -3) is not a solution for y = -2x

~

Answer:

False

Step-by-step explanation:

(6,-3)  means x=6 and y=-3

Substitute into the equation

y= -2x

-3 = -2(6)

-3 = -12

This is false

write down an expression for the nth term of the following sequence, 7, 16, 25, 34, 43

Answers

Answer:9n-2


Step-by-step explanation:

1st = 9*1-2= 7

2nd = 9*2-2= 16

3rd = 9*3-2= 25

4th = 9*4-2 = 34

...

The nth term of the sequence 7, 16, 25, 34, 43, which is an arithmetic sequence with a common difference of 9, is given by the expression 9n - 2.

The sequence given is 7, 16, 25, 34, 43. To find the nth term expression of this sequence, first, we can observe the pattern that each term increases by 9. Therefore, the sequence is an arithmetic sequence. We can use the formula for the nth term of an arithmetic sequence, which is [tex]a_n = a_1 + (n - 1)d[/tex], where [tex]a_1[/tex] is the first term and d is the common difference.

The first term a1 is 7, and the common difference d is 9. So, the nth term is:
[tex]a_n = 7 + (n - 1) \times9[/tex]
To simplify, it will be:
[tex]a_n = 7 + 9n - 9a_n = 9n - 2[/tex]. This is the expression for the nth term of the given sequence.



Simplify.

4(x − 5) + 2(y + 6) − 10


A) 4x + 2y − 18
B) 4x + 2y + 18
C) 4x + 2y − 9
D) 6xy − 15

Answers

Answer:

2y+4x-18

Step-by-step explanation:

4(x-5) +2(y + 6) -10

4x-20+2y+12-10

4x+2y-18

Final answer:

The expression 4(x-5) + 2(y+6) - 10 simplifies to 4x + 2y - 18 using the distributive property and combining like terms. Answer choice (A) is the correct one.

Explanation:

To simplify the expression 4(x - 5) + 2(y + 6) - 10, you need to use the distributive property. This property allows you to multiply a number outside of a bracket with each term inside the bracket.

First, distribute 4 into (x - 5) which gives you 4x - 20. Then distribute 2 into (y + 6) which gives you 2y + 12. Now, you have 4x - 20 + 2y + 12 - 10

Combine like terms by adding or subtracting them. In this case, -20, +12 and -10 are like terms. When you add these together, you get -18. So, the simplified expression becomes 4x + 2y - 18. Therefore, answer choice (A) is correct.

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solution to 3x = 156

Answers

Answer:

x=52

Step-by-step explanation:


Answer:

52

Step-by-step explanation:

156 divided by 3= 52

3*52=156

Each sheet cake requires 3 cups of flour and 2 cups of sugar. If a bakery has 75 cups of flour and 75 cups of sugar, how many sheet cakes can be made?

Answers

Answer: 25


Step-by-step explanation: Flour: 75 divided by 3 equals 25. The sugar does not matter in this situation but there will be 25 cups of sugar left if you want to know. Hope this helps!


Answer:

25 sheets

Step-by-step explanation:

Each sheet cake requires 3 cups of flour and 2 cups of sugar.

A bakery has 75 cups of flour and 75 cups of sugar.

Each sheet needs flour = 3 cups

75 cups of flour can make sheet = [tex]\frac{75}{3}[/tex]

                                                      = 25 sheets

for 25 sheets we need sugar =  25 × 2 = 50 cups of sugar

There are more amount of sugar than we need.

Therefore, 25 sheets can be made by 75 cups of flour.

517x82= what is the anser

Answers

Answer:

The answer is 42394

The answer to your question is 42,394

the temperature drops -9/10 every hour how much will it change in 3/2 hours

Answers

Answer:

0.45

Step-by-step explanation:

Ok so you start with -0.9. You need to find how much it will change in an hour and 30 minutes. So you subtract -0.9 from -0.9 and you'd get 0. Now, we have to subtract half of -0.9 (because 30 minutes is half an hour). Half of -0.9 is -0.45. Subtract 0 by -0.45 and you get 0.45.

Answer:

It varies 0,45. For 1,35 - 0,9 = 0,45

Step-by-step explanation:

-9/10 = -0,9

3/2 = 1,5

1h    -------   -9/10

1,5h ---------   x

x = 1,5 * -0,9

x = -1,35

Which of the following best describes the relationship between (x + 1) and the polynomial -3x3 - 2x2 + 1?

A.
(x + 1) is a factor.

B.
It is impossible to tell whether (x + 1) is a factor.

C.
(x + 1) is not a factor.

Answers

Answer:

(C) (x+1) is not a factor

Step-by-step explanation:

To show that x+1 is not a factor, in other words to show that the polynomial cannot be written as a product

[tex](x+1)\cdot(some\,\,quadratic)=-3x^3-2x^2+1[/tex]

it suffices to test that x=-1 is not a root of the original cubic:

[tex]-3x^3-2x^2+1|_{x=-1}=-3(-1)^3-2(-1)^2+1=2\neq 0[/tex]

which is hereby shown and the option (A) is out.

Option (B) is non-sense.

Option (C) is the correct answer.

After applying the Factor Theorem, we find that substituting -1 into the polynomial [tex]-3x^3 - 2x^2 + 1[/tex] does not yield zero; hence, (x + 1) is not a factor, option C.

The student has asked whether (x + 1) is a factor of the polynomial [tex]-3x^3 - 2x^2 + 1[/tex]. To determine if (x + 1) is indeed a factor, one could perform polynomial division or apply the Factor Theorem. According to the Factor Theorem, (x + 1) is a factor if and only if substituting -1 for x in the polynomial yields zero. Substituting, we get:

[tex]-3(-1)^3 - 2(-1)^2 + 1 = 3 - 2 + 1 = 2[/tex]

Since the result is not zero, (x + 1) is not a factor of the polynomial. So, the correct answer to the student's question is option C: (x + 1) is not a factor.

you buy 3 pairs of pants for $19 each and 5 shirts for $10 each. which of the following is a good estimation of how much money you spent?

A. 110
B. 150
C. 190
D. 230
E. 270

Answers

Answer:

110

Step-by-step explanation:

cause you would have to multiply the you bought to the cost of them and you add those two totals together

Answer:110

Step-by-step explanation:

19times3=575times10=5057+50=107estimation is 110

A shop has 15% sale. Originally a computer cost £275. How much does the computer cost in the sale?

Answers

15%×£275=£41.25
£275-£41.25=£233.75

Answer:

  = 233.75

Step-by-step explanation:

To find the discount, we multiply the original price by the percent off

discount = 275* .15

               = 41.25

To get the sale price, take the original price and subtract the discount

sale price = 275-41.25

               = 233.75

PLEASE HELP MEH!

I've literally been stuck on this question for 4 hours, tried to get help from my dad, tried to get help from Khan Academy. NOTHING IS WORKING! IF SOMEONE CAN HELP I WILL MARK BRAINLIEST. I need to solve for x and y which is blank.

Answers

Answer: x=72, y=26


Step-by-step explanation:

Since a line is 180°, we can do:

2x+10+y=180

2x+y=170

Since a triangle is 180° also, we can do:

x+y+82=180

x+y=98

If we subtract x+y=98 from 2x+y=170, we get:

2x+y=170

x+y=98

x=72

If we insert x=72 into x+y=98, we get:

72+y=98

y=26

We can check our answer by inserting x=72 and y=26 into x+y+82=180

72+26+82=180

98+82=180

180=180

Mark the points (10, 14), (15, 11.11), and (10, 8.22). Enter the coordinates in the input window, if you wish. Then connect the points to form a triangle. Part A Measure the lengths of the sides of the triangle and record them in the table.

Answers

Answer:

The points form a equilateral triangle of side 5.78 units.

Step-by-step explanation:

The length of the sides of the triangle is calculated using the distance formula.

The distance between the points (x₁,y₁) and (x₂,y₂) is

[tex]d= \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

Now,

AB = [tex]\sqrt{(11.11-14)^{2}+(15-10)^{2}}=\sqrt{8.3521+25} = \sqrt{33.3521}=5.78[/tex]

BC = [tex]\sqrt{(8.22-11.11)^{2}+(10-15)^{2}}=\sqrt{8.3521+25} = \sqrt{33.3521}=5.78[/tex]

CA =  [tex]\sqrt{(8.22-14)^{2}+(10-10)^{2}}=5.78[/tex]

The length of the sides of the triangle is 5.78. All the sides are equal in length. It is an equilateral triangle.


Kiera used place value and the distributive property to find the product of 12 and 597. Her work is shown below. 12(597) = 12(500 + 90 + 7) = 12(500) + (90)(7) = 6000 + 630 = 6,630 What is Kiera’s error?

Answers

Answer:

(90)(7) ⇒ the error was multiplying 90 and 7.


Step-by-step explanation:

12(597) = 12(500 + 90 + 7)

            = 12(500) + (90)(7)

             = 6000 + 630

                = 6,630

The part in bold shows where the error is. It was not correct to multiply 90 and 7.

The process was to proceed as follows:

12(597) = 12(500 + 90 + 7)

            = 12(500) + 12(90) + 12(7)

             = 6000 + 1080 + 84

                = 7,164

Answer: Kirera did not multiply each added by 12.

A volume of the triangular block is 4 cubic inches, what is the approximate length of y? Round to the nearest tenth of an inch

Answers

Answer:


2.8 inches will be the approximate length of the y.

Step-by-step explanation:

volume = 1/2 x A x C x H = 4 cubic inches

Because the volume of the triangular block is 4 cubic inches.

Formula:  

A x C = Base x Height


Answer:

2.8 in

Step-by-step explanation:

7. Multiply the binomials: (x - 9)(x + 2)
a. x^2 - 7x - 18
b. x^2 - 11x - 18
c. x^2 - 7x + 18
d. x^2 + 7x - 18

Answers

Answer:

the answer is a. x^2-7x-18

first you distribute the x in the first equation getting you x^2 +2x, then you distributed the -9 getting -9x-18. you then put those together, x^2+2x-9x-18. Finally you simplify to x^2-7x-18


Harper fills pots each with 4 liters of water how many liters of water does he pour into the pots?

Answers

Answer:

12 liters of water

Step-by-step explanation:

3 times 4 =12 liters

Answer:

12 liters

Step-by-step explanation:

You have 3 pots and 4 liters in each so you would multiply these two numbers and you will get 12:

3 × 4 = 12

Find the square root of 15129 by division method

Answers

[tex]\underline{\ \ \ \ \ \ 123}\\1\ \ \ |15129\\\underline{\ \ \ \ \|1}\\22\ |\ 51\\\underline{\ \ \ \ |\ 44}\\243|\ \ 729\\\underline{\ \ \ \ \ |\ 729}\\.\qquad\ \ \ 0[/tex]

[tex]\sqrt{15129}=123[/tex]


[tex]\begin{array}{c|c}15129&3\\5043&3\\1681&41\\41&41\\1\end{array}15129=3\cdot3\cdot41\cdot41=3^2\cdot41^2\\\\\sqrt{15129}=\sqrt{3^2\cdot41^2}=\sqrt3^2}\cdot\sqrt{41^2}=3\cdot41=123[/tex]

[tex]Used:\\\\\sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}\\\\\sqrt{a^2}=a\ for\ a\geq0[/tex]

I need the answer ASAP!!

Answers

Answer:

40

Step-by-step explanation:

15 divided by 3 is 5 and since it is 5 per hour 8 times 5 is 40

Answer:

$40

Step-by-step explanation:

So if Logan's rate is $15/3 hours = $5 per hour,

Then $5 × 8 hours = $40 in total.


Hope this helps! Have a nice day!

Find the height of a soup can if the area of the label is 302 square centimeters and the radius of the can is 4 centimeters

Answers

[tex]\bf \textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ SA=302\\ r=4 \end{cases}\implies 302=2\pi (4)(h+4) \\\\\\ 302=8\pi (h+4)\implies \cfrac{302}{8\pi }=h+4\implies \cfrac{302}{8\pi }-4=h\implies 8.016\approx h[/tex]

Wrens did jenni are reading the same book.wren is on page 17 and reads 6pages every night .jeeni is on page 13 and reads 8 pages evernigjt period. After how many nights will they have read the same number of pages, how many pages will that be

Answers

Answer:

After 2 nights they would have read the same amount of pages. That is 29 pages.

Step-by-step explanation:

1.      6x+17=13+8x                          Put the problem in to a equation

2.      6x+17=13+8x                         Subtract 8x from both sides

        -8x         -8x  

3.      -2x+17=13                                Subtract 17 from both sides

            -17   -17  

4.      -2x=-4                                     Divide by -2

         -2   -2

5.      x=2                                         x=2                                                                                                                                      

A mortised traveled 311 miles on 12 gallons of gas to the nearest tenth how many miles can the motorist travel on one gallon of gas

Answers

Answer:

25.9 miles

Step-by-step explanation:

To find out how far he can go on one gallon of gas, we divide miles by gallons.

311 miles/ 12 gallons

25.91666666 miles per gallon

So on one gallon of gas, he can go 25.9166666666 miles

Rounding to the nearest tenth.

25.9 miles


please help 20 points.
Marco went to the library. He checked out 6 movies. The rest of the items he checked out were books. He checked out a total of 17 items. How many books did he check out?

Use the variable b to represent the number of books Marco checked out.

Which equation represents this situation and its solution?

6b = 17; b = 23
b + 6 = 17; b = 11
b + 23 = 17; b = 6
23b = 17; b = 6

Answers

Answer:

the second one is your answer



Solve the inequality and express your answer in interval notation. x^2+8x+5<0

Answers

Answer:

-7.32 < x < -0.68  0r -4-√11 < x < √11 - 4

Step-by-step explanation:

The given inequality is x^2 + 8x + 5 < 0

Here we cannot factorize, so we need to use the quadratic formula to find the solution.

The quadratic formula x = [tex]\frac{-b  +/- \sqrt{b^2 - 4ac)} }{2a}[/tex]

Here a = 1 , b = 8 and c = 5

Plug in these values in the formula, we get

x = -8 ± √(8)^2 - 4*1*5)  ÷ 2(1)

x = (-8 ±√44)/2

x = (-8 ±2√11)/2

x = -4 ± √11

There are two values for x.

x = -4 + √11 and x = -4-√11

√10 = 3.16

So x = -4 + 3.32        and x = -4 - 3.32

                             

x =-0.68                   and   x = -7.32

This means

-7.32 < x < -0.68  0r -4-√11 < x < √11 - 4

Thank you.

Answer:

[tex]-4-\sqrt{11} <[/tex] x [tex]-4+\sqrt{11}[/tex]

Step-by-step explanation:

We are given the following quadratic inequality by applying the quadratic formula to solve it (since it can not be factorized) and then express it in an interval notation:

[tex]x^2+8x+5<0[/tex]

We know the quadratic formula:

[tex]x=\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]

Putting in the values to get:

[tex]x=\frac{-8+-\sqrt{8^2-4(1)(5)} }{2(1)} \\\\x=\frac{-8+-\sqrt{44} }{2}[/tex]

[tex]x=-4-\sqrt{11} , x=-4+\sqrt{11}[/tex]

Therefore, the interval notation for the given quadratic inequality for x will be:

[tex]-4-\sqrt{11} <[/tex] x [tex]-4+\sqrt{11}[/tex].

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