You are playing a board game with your little sister. Moves are determined by rolling 2 six-sided dice. The red die tells you the direction of your move, and has 4 faces
that say "forward and 2 faces that say backward." The green die tells you how far to move, and has 1. 1. 2.2.3, and 4 on the faces. On your turn, what is the
probability that you move backward 2 spaces

Answers

Answer 1

Answer: The probability is 1/9.

Step-by-step explanation:

First, let's define the possible outcomes of each dice:

Red: Forward (4 times), Backward (2 times)

Green : {1, 1, 2, 2, 3, 4}

We want to find the probability of moving backward 2 spaces.

Then we need to find the probability of rolling a "backward" in the red dice, and a 2 in the green dice.

First, the probability of rolling a backward in the red dice is equal to the quotient between the number of outcomes that are "backward", and the total number of outcomes in the dice (there are 2 backwards and 6 outcomes in total), this is:

p1 = 2/6 = 1/3.

And the probability of rolling a 2 in the green dice is equal to the quotient between the number of outcomes with a 2, and the total number of outcomes. (The 2 appears two times, and there are 6 possible outcomes):

p2 = 2/6 = 1/3.

Now, the probability of both events happening at the same time is equal to the product of the individual probabilities, then the probability of moving backwards 2 spaces is:

P = p1*p2 = (1/3)*(1/3) = 1/9.


Related Questions

Ludmilla Pavel is paid a commission on all sales over $3,000 a week. Last week she earned a commission
of $420 on sales of $16,000. What rate of commission was she paid to the nearest tenth percent

Answers

Answer:

Since she sold $16,000, she earned commission on $13,000 of it.

So she earned $420 from $13,000

420/13000 = 0.0323 which is 3.23% or 3.2% to the nearest tenth %

10

Step-by-step explanation:

Answer:

3.23% or 3.2% to the nearest tenth %

Step-by-step explanation:

Since she sold $16,000, she earned commission on $13,000 of it. So she earned $420 from $13,000. 420/13000 = 0.0323 which is 3.23% or 3.2% to the nearest tenth %

Suppose 15% of x equals 20% of y. What percentage of x is y?
a) 5 b) 35 c) 75 d) 133 1/5 e) 300

Answers

Answer:

c)15

Step-by-step explanation:

Confirmed by rsm

A percentage is a way to describe a part of a whole. x is 133¹/₃% of y. The correct option is D.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that 15% of x equals 20% of y. Therefore, we can write,

15% of x = 20% of y

(15/100) × x = (20/100) × y

Multiply both the sides of the equation by 100,

(15/100) × x × 100 = (20/100) × y × 100

15x = 20y

x/y = 20/15

Divide both the sides of the equation by 5,

x/y = 4/3

Now, the percentage of x that is y is,

Percentage = (x/y) × 100%

                   = (x/y) × 100%

                   = (4/3) × 100%

                   = 133.33%

                   = 133 ¹/₃ %

Hence, x is 133.33¹/₃% of y.

Learn more about Percentages here:

https://brainly.com/question/6972121

#SPJ2

question below :) i suck at math

Answers

Step-by-step explanation:

You plug g(3) into the equation like this

g(3) = -x - 2

hey ok i need help on this question ive been stuck on it for a couple minutes haha

Answers

Answer:

The side s has a length of 4 and side q has a length of 4[tex]\sqrt{3}[/tex] ⇒ F

Step-by-step explanation:

In the 30°-60°-90° triangle, there is a ratio between its sides

side opp (30°) : side opp (60°) : hypotenuse

       1               :         [tex]\sqrt{3}[/tex]            :        2

In the given triangle

∵ The side opposite to 30° is s

∵ The side opposite to 60° is q

∵ The hypotenuse is 8

→ Use the ratio above to find the lengths of s and q

side opp (30°) : side opp (60°) : hypotenuse

       1               :         [tex]\sqrt{3}[/tex]            :        2

       s               :          q             :        8

→ By using cross multiplication

s × 2 = 1 × 8

∴ 2s = 8

→ Divide both sides by 2

s = 4

The length of s is 4

q × 2 = [tex]\sqrt{3}[/tex] × 8

∴ 2q = 8[tex]\sqrt{3}[/tex]

→ Divide both sides by 2

q = 4[tex]\sqrt{3}[/tex]

The length of q is 4[tex]\sqrt{3}[/tex]

The next section (This is the last five, don't worry xd)
7th grade math
I will give brainliest!
2 = a/6
find the value of a

Answers

Answer:

a = 12

Step-by-step explanation:

Given

2 = [tex]\frac{a}{6}[/tex] ( multiply both sides by 6 to clear the fraction )

12 = a

Answer:

a = 12

Step-by-step explanation:

We can do the inverse of division which is multiplication. 6 x 2 equals 12 and if we substitute 12 for a (12 divided by 6) you get 2 hope that helpss!!!

A taxi company charges $3 per ride plus $1.50 for each mile traveled. Andrea wants to spend no more than $24 on a taxi ride. How many miles can Andrea travel? Select all that apply. PLEASE HELP!!
A. 18
B. 16
C. 14
D. 12
E. 10

Answers

Answer:

losien yo hablo español espero que alguien mas te ayude

Answer:

Your answer would be  C , D, E

Step-by-step explanation

Have a Great day!

EASY QUESTION HELP AND HURRRYYYYY!!!!

Answers

Answer:

d

Step-by-step explanation:

Answer:

D, s=v

Step-by-step explanation:

although its scaled, the angles are equal to each other. pls brainliest im new and never got brainliest before thx appreciate it

What is the slope of this line?

A: - 1/3

B: - 2/3

C: 2/3

D: 1/3

Answers

Answer:

The answer is C. 2/3

Step-by-step explanation:

Answer:

C. 2/3

Step-by-step explanation:

equation for slope: y2 - y1 / x2 - x1

Pick any two exact points from the line. I will use (0, -3) and (3, -1)

The y's for both points are -3 and -1. The x are 0 and 3. Plug that into the equation

-3 - (-1) / 0 - 3

= -3 +1 / 0 - 3

-2/-3

Negatives cancel so it becomes positive

So the slope is 2/3

Pls help! What is mSN ?

Answers

Answer:

ur ugly face

Step-by-step explanation:

ooooooooooooooooooooooooooooooo

Part 1: Given triangle ABC and AC = BC, find a and the side lengths of the triangle. C 6a - 8 4a-2 MathBits.com A B Side BC = Side AC = Part 2: Based off your knowledge of side lengths and triangles, what can you for sure classify the above triangle as Triangle ABC:​

Answers

Answer: a = 2; AC = BC = 10

Step-by-step explanation:

AC = BC => 6a - 8 = 4a - 2

<=> 2a = 6

<=> a = 3

=> AC = 6.3 - 8 = 10

AC = BC => BC = 10

Please finish 13,14,15 please I will give 10 points and brainliest

Answers

Answer:
13. 2.5
14. -2
15. 1.5

Equations:
13. y=2.5x-3
14. y=-2x+1
15. y=1.5x-8

Select the graph of g(x) = |-2х + 6|
can someone tell me if this is right

Answers

Answer:

no

Step-by-step explanation:

the graph should be facing up.

It is a also hi I am lulu

8x+3y=14,2x+y=4. PLz solve this it’s emergency

Answers

Answer:

x=1, y=2

Step-by-step explanation:

1) 8x+3y=14 Original system of linear 2d equations

   2x+y=4

2)     8x+3y=14

   -4 (2x+y) =-4(4)   Multiply second equation by negative four.

3)    8x+3y=14

  +  -8x-4y=-16   Add equations, eliminating x terms

4) -y=-2

     y=2 solve for y

5) 8x+3(2)=14 Substitute solution for y to solve for x

    8x=14-6

    8x=8

       x=1

I'LL GIVE BRAINLIST!! THERES 2 ANSWERS!! PLEASE HELP!! ​

Answers

Answer:

i would go with option 2, just depending on how many pounds u get for $6.58 though.

3x^2 + 2x^2=


6x^3 - 2x^3=


first answer gets brainiest :)

Answers

Answer:

1) [tex]13x^{2}[/tex]

2) [tex]208x^{6}[/tex]

Step-by-step explanation:

(3*3(x)^2) + (2*2(x)^2) = 9x^2 + 4x^2 = 13x^2

(6*6*6(x)^3) - (2*2*2(x)^3) = 216x^3 - 8x^3 = 208x^3

How much larger is 10 7 than 10 3 What operation can we use?

Answers

Answer:

9,999,000

subtraction

Step-by-step explanation:

We can compare numbers using subtraction or division.

A question like "how much larger" usually means a comparison by subtraction. For example, how much larger is 10 than 8. Use subtraction: 10 - 8 = 2. Answer: 2.

A question like "how many times larger" usually means a comparison by division. For example, how many times larger is 30 than 5? Use division: 30/5 = 6. Answer: 6.

Here, the question is "how much larger" not "how many times larger," so we will compare with subtraction.

10^7 - 10^3 = 10,000,000 - 1,000 = 9,999,000

Simple Inequalities:
2 <6
29
Which compound inequality and graph match the given simple inequalities?

Answers

I think it is the first option. hope this helps :)

A carpenter added a diagonal brace to gate. The gate is 8ft. Wide and 10 ft. Tall. How long is the brace

Answers

Answer:

The brace is [tex]2\sqrt{41}[/tex] ft ≅ 12.806 ft long

Step-by-step explanation:

The length of the diagonal of a rectangle can be found using this rule

[tex]d=\sqrt{l^{2}+w^{2}}[/tex] , where

l is its length w is its width

∵ The gate has shaped a rectangle

∵ Its length = 10 ft

∵ Its width = 8 ft

l = 10 and w = 8

∵ The brace is the diagonal

→ By using the rule above

∴ [tex]d=\sqrt{(10)^{2}+(8)^{2}}=\sqrt{100+64}=\sqrt{164}[/tex]

∴ The length of the brace = [tex]2\sqrt{41}[/tex] ≅ 12.806 ft

The brace is [tex]2\sqrt{41}[/tex] 12.806 ft long

5200 at 4% for 3 years ??

Answers

5200 times 1.04 to the power of 3
= 5849.3

Tyler gathered data from 12 recent basketball games about the number of points he scored, the number of points his teammate Nolan scored, and the total number of points his team scored. He displayed the data in two scatter plots.

Does either scatter plot indicate a positive correlation between the variables?

Answers

Answer:

Only plot B

Step-by-step explanation:

Answer:

Only Plot B

Step-by-step explanation:

The points in plot A are randomly scattered, and there is no recognizable pattern. So, this plot indicates no correlation between the points Tyler scored and the points Nolan scored.

In plot B, the total points Tyler’s team scored appear to increase as the points Tyler scored increase. This pattern indicates a positive correlation between the two variables.

So, only plot B indicates a positive correlation.

The reflection of point S across the y-axis is point
. The reflection of point Q across the x-axis and the y-axis is point
, whose coordinates are (
,
).

Answers

Point V
Also point V
(-5,-5.5)

please help me please please nice brainly people pls

Answers

Answer:

I think your answer is B= 12.

Step-by-step explanation:

Its x times 1 .33333 = y

brainliest?

B=12 its x time 1.33333 = y

Hey friends! If u guys wanna help I’d really appreciate it! I’m in need of some help rn lol I’ll give u all my points!!!!!

Answers

Answer: it’s C

Step-by-step explanation:

How many units are there

Answers

Answer:

There are 9 units

Step-by-step explanation:

what is positive 1 plus negative 6

Answers

Answer:

-5

Step-by-step explanation:

When answering these problems, I like to think of dirt stacks. (Weird, but it helps.)

Okay, so you have a stack of dirt one foot off the ground. Then you dig six feet down, including the stack.  Because the stack will be 5 feet into the ground now, the answer is -5.

Two functions are given.
f(x)=-x^2+3x-2
g(x)=-x+1
What is one value for x such that f(x)=g(x)?

Answers

Hi

f(x) = g(x)   if    -x²+3x-2   - ( -x+1) = 0

                      -x² +3x-2 +x-1 = 0

                      -x² +4x -3 = 0

To solve, tou have to use the general method of resolution of a quadratic fonction.  

To determine if it's has a solution in R, let's calculate  Δ

Δ = (4)² - 4 * (1) *(-3)

Δ = 16 +12

Δ= 28  

as Δ≥ 0  so  the function allow two solution within R  

so S 1 =  ( -4 +√28) / 2            S 2 =   (-4 -√28 ) /2

    S1 =   ( -4 + 2√7) /2            S2 =    (-4 - 2√7) /2

    S1 =    (2 (-2 +√7) /2            S2      2 (-2 -√7)   /2

    S1 =    -2 +√7                       S2 =      -2 -√7

So the two function  are equal   twice. one  for   x = -2 +√7  and second x = -2-√7

A farmer sells his com for $320 a metric ton with a small surcharge of $25. His neighbor sells her corn crop for $320 a
metric ton and gives a $20 rebate. Write the cost model equations for both farmers and find the amount of corn that
makes the costs equal.

Answers

jnncjdjjcndncj hdjdjjdjcnekmsmxmenbrjfkekwkdkkrrmfmf

Please help
29.25 + (−47.5)

Answers

Answer:   -18.25 is your answer.

because there is one negative sign so you know your answer negative. So  29.25 + -47.6 = -18.25

Step-by-step explanation:

Karla needs 3.7 pounds of chicken. If each pound of chicken costs $4.50, how much will she need to spend altogether?

Answers

Answer:    $16.65

Step-by-step explanation:3.7*$4.50=$16.65

An ice cream shop is testing some new flavors of ice cream. They invent 25 new flavors for customers to try, and throw out the 13 least popular flavors. The shop makes 80 cartons of each of the remaining flavors. It takes 2 cartons to get one liter(L) of ice cream How much total ice cream is in the cartons?

Answers

Answer:

960 cartons

Step-by-step explanation:

Ice cream shop invented 25 new flavors of the ice cream out of which 13 flavors were discarded by the ice cream shop as they were least popular.

So flavors left = 25 - 13 = 12

The shop made 80 cartons each of 12 flavors so total number of cartons = 12×80 = 960 cartons

Therefore answer will be 960 cartons of remaining flavors

plz mark brainly

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