Grace and her friends are playing a game that uses two dice. Each die is a tetrahedron - a four‐sided shape with each side an equilateral triangle. Each side of the die contains one of the digits 1, 2, 3, or 4.


a. Create the sample space of all possible outcomes if you were to roll the two dice

simultaneously. List the digit on the first die first and the digit on the second die

second (i.e. 1,1; 1,2; and so on.)

b. What is the theoretical probability that the sum of the two numbers on a roll will

be five?

c. If Grace and her friends were to roll the two dice 100 times, how many of the

100 times could they expect to roll the same number on each die? (In other

words, the outcome would be 1,1 or 2,2 or 3,3 or 4,4.)


WILL GIVE BRAINLIEST! Please no jokes or links :)

Answer:

4.5

Step-by-step explanation:

the median is the middle number

You take the middle values, 4 and 5, and add them together. Then divide the sum of the values, 9, and then divide by 2.

Answer should be 4.5

Answer:

Follow my directions:

Step-by-step explanation:

Your Slope-Intercept Form: y=2x-7

1.) Find (0,-7) that shall be your y-intercept.

2.) From your y-intercept [ (0,-7) ]  you need to go up 2 and over 1.

**Meaning go up on the y-axis 2 times and go right 1.

Answer:

C. 48.98 m

Step-by-step explanation:

[tex]2\pi(7.8) = 15.6\pi = 49.01[/tex]

Answer:

Slopem=74

As a decimal:

m = 1.75

Step-by-step explanation:

The correct answers are, A, D, and E.

ANSWER: SOLUTION

TO CHOOSE THE CORRECT OPTION

The ratio of 2 gallons to 3 quarts

A) 8 to 3

(B) 3 to 8

(C) 3 to 2

(D) 2 to 3

EVALUATION

Here we have to find the ratio of 2 gallons to 3 quarts

We know that

1 gallon = 4 quarts

∴ 2 gallon = 8 quarts

Hence the required ratio

= 8 : 3

Step-by-step explanation:

FINAL ANSWER

Hence the correct option is A) 8 to 3

84°

Step-by-step explanation:

diameter=168/2

=84°

[tex]\text{Vertical angles are equal, so}[/tex]

[tex]~~~~~~15n-2 = 13n+12\\\\\implies 15n-13n = 12+2\\ \\\implies 2n = 14\\\\\implies n = \dfrac{14}2 \\\\\implies n = 7[/tex]

Answer:

It is the spot where sons raise meat.

Answer:

Rectangle

Step-by-step explanation:

Horizontal is going across. So when you slice the rectangular prism, you end up with rectangle

Answer:

It is a rectange

Step-by-step explanation:

No matter how high up or low you cut a horizontal cross section on a rectangular prism, it is always a rectangle.

Answer:

10 times

Step-by-step explanation:

We have two separate equations that represent this situation:

0.75x   ----> which represents recycling center #1

0.25x + 5.00   -----> which represents recycling center #2

To find the amount of times you would need to visit the recycling centers for the total cost to be the same, put both of these equations equal to each other:

0.75x = 0.25x + 5.00

Now, solve:

0.75x = 0.25x + 5.00                Subtract 0.25x from 0.75x

0.50x = 5.00                              Divide 5.00 by 0.50

x = 10

Thus, you would need to visit the recycling centers 10 times for the total cost to be the same.

Let's check this answer by plugging 10 into both equations:

0.75(10) = 7.5

0.25(10) + 5.00 = 7.5

Since both of the answers are the same, then 10 is the correct answer!

I hope this helps! Good luck!

Answer:

option A

Step-by-step explanation:

The concept of parallel refers to lines that are perfectly relative to another

if you want to memorize this concept. always think of the EQUAL sign.

=

the equal sign has two lines that are perfectly horizontal. no matter if they are inclined, both lines reflect each other.

Answer:y = 2/3x + 4

Step-by-step explanation:

I only see one equation so here is the equation of that line

M = rise/run = 2/3    y int = 4

y = 2/3x + 4

This is our y intercept

This is our slope or rate of change

So

The equation becomes

Where m is miles driven

The no. of miles not including any tip the taxi traveled is 22 miles.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, The taxi company charged a pick-up fee of $3.20 plus $2 per mile.

Let, 'm' be the no. of miles and the total fare was $47.20.

Therefore, The numerical form of these statements is,

2m + 3.20 = 47.20.

2m = 47.20 - 3.20.

2m = 44.

m = 44/2.

m = 22.

So, The taxi traveled 22 miles.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ2

Answer:

You can can receive 9 different ways to receive change from a ten-dollar bill

Step-by-step explanation:

- Total spent: $9.79

- How much payed: $10

The change will be $10 - $9.79 = 0.21

- Change: $0.21

Possible coins:

penny: 1¢ ($0.01)

nickel: 5¢ ($0.05)

dime: 10¢ ($0.10)

25¢ (this is too high, can't use)

Combinations:

To get 21...

- not ideal but 21 pennies

- 11 pennies + 1 dime

- 1 penny + 2 dimes

- 16 pennies + 1 nickle

- 11 pennies + 2 nickels

- 6 pennies + 3 nickels

- 1 penny + 4 nickels

- dime + nickle + 6 pennies  

- dime + 2 nickels + 1 penny

using dimes:  [10, 10, 1]   [10, 5, 5, 1]   [10, 5, 6x1]   [10, 11x1]

using nickels:  [5, 5, 5, 5, 1]   [5, 5, 5, 6x1]   [5, 5, 11x1]   [5, 16x1]

using pennies: 21x1

So, there are 9 ways to make the change.

Answer:

1/14

Step-by-step explanation:

a four out of possible   6 rolls   = 1/6

6 red out of 14 balls      6/14

1/6  * 6/14 = 1/14

The Probability of rolling a 4 on a number cube and then choosing a red a ball at random is 1/14.

Probability is "possibility that deals with the chance of occurrence of random event" .

According to the question,

A cube has 6 faces that is  (1,2,3,4,5,6). Total number of faces n(s) = 6.

Probability formula = (Number of favorable event)/(Total number of event).  

Probability of taking 4, P(4) = 1/6.

A bag containing 8 blue and 6 red balls. Total number of balls in a bag n(s) = 14.

Probability of taking red balls P(red balls) = 6/14.

In order to find that probability of rolling a 4 on a number cube and then choosing a red a ball at random only if multiply P(4) by P(red balls).

P(4) × P(red balls) = [tex]\frac{1}{6}[/tex] × [tex]\frac{6}{14}[/tex] = [tex]\frac{1}{14}[/tex].

Hence,  probability of rolling a 4 on a number cube and then choosing a red a ball at random is 1/14.

Learn more about Probability here

https://brainly.com/question/14378528

#SPJ2

Answer:

6n-3

Step-by-step explanation:

You can see the sequence is ascending by 6 each time so the nth term is 6n.

The 'zero term' would be -3 so the equation would be 6n-3.

Answer:He would have to make a minimum of 13 sales

Step-by-step explanation:

When you divide 300 by 24 you will get 12.5 but you can’t make half a sale so you would have to round up to 13

Answer:

x < - 25

Step-by-step explanation:

| x + 3 | > 22

Case 1 : x + 3 > 22 [WORKED]

x > 22 - 3

x > 19

Case 2: - (x + 3) > 22

- x - 3 > 22

- x > 22 + 3

x < - 25

As case 1 and 2 don't overlap, so the answer of x should be:

x < - 25 or x > 19

Answer:

x = 26

angle QOR = 31

angle ROS = 59

Step-by-step explanation:

[tex](x + 5) + (2x + 7) = 90\\ 2x + x + 5 + 7 = 90 \\ 3x + 12 = 90 \\ 3x = 90 - 12 \\ 3x = 78 \\ x = 78 \div 3 \\ x = 26[/tex]

Sub x in

[tex](x + 5) \\ 26 + 5 = 31[/tex]

and

[tex](2 \times 26 + 7) \\ = 52 + 7 \\ = 59[/tex]

Answer:

the answer is below

Step-by-step explanation:

A. 4.0

B. 4.5

C. 3.5

D. 4.2

Answer:

4

it's not B or C or D so it has to be A

Answer:

1. 0 & 2

2. 5

3. 10

4. 17

hope this helps!

Step-by-step explanation:

the area of such a regular shape with n sides is the sum of n isoceles triangles (meaning each triangle has equally long legs) from the center to 2 neighboring corners.

the area of a triangle is

baseline × height / 2

so, for these triangles that means

shape side length × apothem / 2

in our case, n = 6, the side length = 5 cm, the apothem is 4.3 cm. and we get as total area

6 × 5×4.3 / 2 = 3 × 5 × 4.3 = 15 × 4.3 = 64.5 cm²

Answer:

b

Step-by-step explanation:

1000 meters in a kilometer

[tex]y = ab^x \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=0\\ y=14 \end{cases}\implies 14~~ = ~~ab^0\implies 14=a(1)\implies 14=a~\hfill \underline{y=14b^x} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=6\\ y=896 \end{cases}\implies 896~~ = ~~14b^6\implies \cfrac{896}{14}=b^6 \\\\\\ 64=b^6\implies \sqrt[6]{64}=b\implies 2=b~\hfill \underline{y=14(2)^x}[/tex]

Answer:

569.49$

Step-by-step explanation:

7.25% = .0725

530.99 x 0.725 = 38.50

530.99$ + 38.50$

569.49$

Answer:

The value of x = 109°

angle PQS = 24°

Step-by-step explanation:

24° + 47° + x = 180° { angles on straight line }

=> 71 ° + x = 180°

=> x = 180° - 71°

=> x = 109°

Now,

Angle PQS = 24°

angle PQS = angle QSR { alternative angle }

Step-by-step explanation:

a)(i) x=109°

(ii)It's given that PST is straight line then PST=180°,and

PST=QSP+QSR+x

180° =47°+24°+x

180°=71°+x

180°-71°=x

109°=x

b)(i)PQS=71°

(ii)we know opposite angles are equal in parallelogram

so PSR=PQR=71°