There is a classic game called “Rock, Paper, Scissors.” Two people play by counting to 3 together, then making a hand gesture to resemble paper (hand flat, palm down), rock (fist), or scissors (two fingers extended).
• When paper and rock are shown, paper wins the round.
• When paper and scissors are shown, scissors wins the round.
• When rock and scissors are shown, rock wins the round.
• When both players show the same thing, the round is a tie.





Using the site: Rock, Paper, Scissors to play Rock, Paper, Scissors. You will scroll down until you see the hand. Then click on Generate to begin game.

Play 3 rounds of 10, using the same gesture for each round. Record what gesture was used by you, the gesture used by the computer, and the result.

Round 1:
My Option: Rock

Computer Scissors Paper Scissors Scissors Rock Scissors Scissors Rock Rock
Winner? Win Lost Win Win Tie Win Win Tie Tie

Round 2:
My Option: Paper

Computer Scissors Paper Scissors Rock Rock Rock Paper Rock Rock
Winner? Lost Tie Lost Win Win Win Tie Win Win

Round 3:
My Option: Scissors

Computer Rock Paper Rock Rock Scissors Paper Rock Rock Paper
Winner? Lost Win Lost Lost Tie Win Lost Lost Win




1. Is the event “win the round” dependent on another event? Explain your reasoning.






2. Create a graph of your data. Make sure to label your graph and that the graph is appropriate for the type of data you have.










3. Choose an event that you think might influence the probability of winning, then analyze the data using probability to determine whether the event you chose to study is independent of winning. Provide evidence to support your claim.

Answer:

complement angle = 52 + 38 = 90°

supplement angle = 47 + 133 = 180°

Step-by-step explanation:

[tex]here \: is \: your \: solution \: \\ measure \: of \: one \: angle \: = 52 \\ let \: the \: other \: angle \: be = x \\ \\ x \: + 52 \: = 90 \\ x \: = \: 90 - 52 \\ x \: = 38 \\ now \: second \: question \\ x + 47 = 180 \\ x = 180 - 47 \\ x = 133 \\ hope \: it \: helps[/tex]

Answer:

C

Step-by-step explanation:

53 + 44 + x = 180

97 +x = 180

x = 83

Answer:

The grapes are more expensive than the green grapes.

Step-by-step explanation:

GRAPES: If you divide $20.72 by 7, to get one bag of grapes instead of seven, you get $2.96/bag.

GREEN GRAPES: If you divide $8.46 by 3, to get one bag of green grapes instead of three, you get $2.82/bag.

$2.82 is less than $2.96, therefore, the grapes are more expensive than the green grapes.

35 = 4x+3

If they're vertical then they're worth the same or equal. So 4x+3 is equal to 35 and then you solve for x from there.

B 55.8)

nearest tenth associated ground elevation 10- stretched road and car = elevated protation. which is equivalent to 45 ( 0.08 added from the elevation plus the 10 = 55.8

Answer:

See below

Step-by-step explanation:

Opposite sides are parallel:

parallelogram, rectangle, rhombus and square

4 right angles:

rectangle square

Exactly 1 pair of parallel sides:

trapezoid

4 congruent sides:

square

Have a great day!

Answer:

Step-by-step explanation:

Answer:

297 cubic inches

Step-by-step explanation:

Given: A cylinder has a volume of 99 cubic inches. A cone has the same height and radius as the cylinder.

To find: The volume of the cone in cubic inches.

Formula: The formula for the volume of a cone is V = [tex]\frac{1}{3}[/tex]hπr².

Solution: Firstly, find out the height and radius of the cylinder

... = 297 cubic inches

Answer:

14

Step-by-step explanation:

Answer: 25

Step-by-step explanation:

I got it wrong so heres the right answer

Answer:

c  if i'm correct but its possible that its c

Step-by-step explanation:

Answer:

80 units squared

Step-by-step explanation:

If two sides of a rectangle add up to 18cm and the area is 80 units squared then the length is 10cm, and the width is 8cm. If you add 10 and 8 together you get 18, and if you multiply those you get 80 units squared.

Answer:

61.2 decimeter.

Step-by-step explanation:

Step-by-step explanation:

the center=3 bc it is in the middle of the box

variability is 2

the number that best summarizes the data is 4.5

the number that describes how the data varies is 9-0=9

Hope that helps :)

Answer:

what's the answer?

Step-by-step explanation:

Answer:

r > 7 (C)

Step-by-step explanation:

3r−7>14

Step 1: Add 7 to both sides.

3r−7+7>14+7

3r>21

Step 2: Divide both sides by 3.

3r

3

>

21

3

r>7

Hope this helps and makes sense!! Good luck and have a wonderful day! <33

Imagine this < as a alligater and itś eating the greater number!!

Answer:

C.) r ≥ 7

Step-by-step explanation:

1. Add 7 to each side to cancel it out and keep the sign the way it is to avoid confusion

3r - 7 ≥ 14

   + 7    +7

3r ≥ 21

2. Divide each side by 3 to get the variable alone

3r/3 = r

21/3 = 7

r ≥ 7

This means r is greater than or equal to 7, and it can also be written as 7 ≤ r

Answer:

Yes.

Step-by-step explanation:

We have GCD and LCM.

GCD means Greatest Common Divisor

LCM means Least Common Multiple

GCD can also mean HCF(Highest Common Factor)

Answer:

x²+8x+16=24

Step-by-step explanation:

x²+8x=7 (+16)

x²+8x+16=7+16=24

(x+4)²=24

The values to be entered in the boxes are 16 and 23.

Given the equation is [tex]x^2[/tex]+8x=7

To complete the square for the equation [tex]x^2[/tex] + 8x = 7, we need to add a constant term on both sides of the equation to create a perfect square trinomial on the left side.

First, take half of the coefficient of the x-term (8) and square it:

[tex](8/2)^2[/tex] = 16

Now, add 16 to both sides of the equation:

[tex]x^2[/tex] + 8x + 16 = 7 + 16

Simplifying:

[tex]x^2[/tex] + 8x + 16 = 23

Therefore, the equivalent number sentence after completing the square is [tex]x^2[/tex] + 8x + 16 = 23

The values to be entered in the boxes are 16 and 23.

Hence, [tex]x^2[/tex] + 8x + 16 = 23.

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Answer:

C

Step-by-step explanation:

Between nine and ten years after opening the account, the balance grew by $5,000.

Between nine and ten years after opening the account, the balance grew by $5,000. The correct answer would be an option (C)

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The function g(x) represents the amount of money in a savings account x years after it is opened.

The statement g(10) - g(9) = $5,000 represents the difference in the balance between 9 and 10 years after opening the account, and since the difference is positive, it means that the balance grew by $5,000.

Hence, the correct answer would be an option (C)

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Answer:

[tex]x^2+ 18x -130=0[/tex]

Step-by-step explanation:

Given

See attachment for diagram

Required

The equation to find x

First, calculate the area of the big rectangle using:

[tex]Area = Length * Width[/tex]

So:

[tex]A_1 = (x + 6) * (3x - 2)[/tex]

The smaller rectangle

[tex]A_2 = (x - 1) * (2x)[/tex]

The difference between this areas give the area of the shaded region.

So:

[tex]A_1 - A_1 = 118[/tex]

[tex](x+6)*(3x-2) - (x-1)*2x = 118[/tex]

Open brackets

[tex]3x^2 - 2x + 18x -12 -2x^2 +2x = 118[/tex]

Collect like terms

[tex]3x^2 -2x^2- 2x +2x+ 18x -12 - 118=0[/tex]

[tex]x^2+ 18x -130=0[/tex]

The above equation can be used to solve for x

Answer:

I can't see it very clearly but its

288m^2

Answer:

90m is the area. (not sure why it says hundredth we do not have any decimals)

Step-by-step explanation:

find the area of both the triangle and he rectangle

triangle - 18 (area = 0.5 * b * h)

rectangle =72. ( L x W)

add em together

Answer:

1.  The volume of the cylinder is approximately 0.153 m³

2. 25 cm

3. [tex]25.\overline 6 \ cm[/tex]

4. 16 m

5. 1,785 m³

Step-by-step explanation:

The volume of a solid can be found by the product of the uniform cross-sectional area of the solid and the (continuous) length of the solid

1. The uniform cross-sectional area of the given cylinder = The area of the circle at the base or top

The dimension of the diameter of the circle at the top of the cylinder, d = 50 cm = 0.5 m

The area of the circular cross-section, A = π·d²/4

∴ A = π × 0.5²/4 = 0.0625·π

A = 0.0625·π m²

The height of the cylinder, h = The continuous length of the circular cross-section = 78 cm = 0.78 m

∴ The volume of the cylinder, V = A × h

∴ V = 0.0625·π × 0.78 = 0.04875·π ≈ 0.153

The volume of the cylinder, V ≈ 0.153 m³

2. The given volume of the trapezium, V = 8550 cm³

The length of the short and long parallel sides 'a', and 'b', are 17 cm and 21 cm respectively

The height of the trapezium from the diagram, h = 18 cm

The cross-sectional area of the trapezium, 'A', is found as follows;

A = (17 cm + 21 cm)/2 × 18 cm = 342 cm²

The volume of the trapezium, V = The cross-sectional, A × The (missing) length, 'l' of the trapezium

∴ l = V/A

By substitution, we have;

l = 8550 cm³/(342 cm²) = 25 cm

∴ The Missing Length, l = 25 cm

3. The given volume of the solid having a uniform cross-sectional area is, V = 385 cm³

The area of the (uniform) cross-section of the solid, A = 15 cm²

∴ The length of the solid, 'l', from V = A × l, is given as follows;

l = V/A

∴ l = 385 cm³/(15 cm²) = 25.[tex]\overline 6[/tex] cm

The length of the solid, l = 25.[tex]\overline 6[/tex] cm

4. From the diagram, we have;

The cross-sectional area of the solid, A = 216 m²

The length of the solid, l = 16 m

5. The cross-section of the solid can  can be assumed to be either;

1. A trapezium from which a rectangle has been removed of dimensions 8 m by 9 m.

2. A triangle located above a rectangle

For scenario one, we have;

The cross-sectional area, A = (12.5 + 9)/2 × 15 - 8 × 9 = 89.25

For scenario two, we find 'A' as follows;

A = 7 × 9 + 1/2 × 15 × 3.5 = 89.25

∴ The cross-sectional area of the solid, A = 89.25 m²

The length, 'l', of the solid, is given as l = 20 m

The volume of the solid, V = A × l

∴ V = 89.25 m² × 20 m = 1,785 m³

The volume of the solid, V = 1,785 m³.

Answer:

C. x<4

Step-by-step explanation:

1. Subtract 2 from both sides

2. You get x<4

Answer:

C) x < 4

Step-by-step explanation:

x + 2 < 6

x < 6 - 2

x < 4

Answer:

$2 for 1 rose bush and $2 for one shrub

Step-by-step explanation:

32=2x+14y

26=11x+2y

32=2(2)+14(2)

32=4+28

32=32

26=11(2)+2(2)

26=22+4

26=26

Since both equations come out correct the cost of 1 rose bush is 2 dollars and the cost of one shrub is 2 dollars. kinda cool

Answer:

The cost of one rose bush is $2 and the cost of one shrub is $2.

Step-by-step explanation:

Let r represent the cost of 1 rose bush and s the cost of 1 shrub.

Kali's expenditure

2r + 14s = 32

Divide each term by 2

r + 7s = 16 ------ (i)

Kim's expenditure

11r + 2s = 26 ------ (ii)

From equation (i)

r = 16 - 7s

11(16 - 7s) + 2s = 26

176 - 77s + 2s = 26

-75s = 26 - 176

-75s = -150

s = -150/-75 = 2

r = 16 - 7s = 16 - 7(2) = 16 - 14 = 2

The cost of one rose bush is $2 and the cost of one shrub is $2

21 to base 2 is 10101

109 to base 4 is 1231

1652 to base 9 is 2235

Answer:

612 inches.

Step-by-step explanation:

1 yard = 36 inches.

17 * 36 =

Answer:

612 inches

Step-by-step explanation:

1 yard = 36 inches

17 yards = 36 × 17 = 612 inches

Answer:

210.82

Step-by-step explanation:

arc length= 2pi r (Ø/360)

= 2x 3.14 x 47(257/360)=210.82

Answer:

The gradient of the line segment between the two points is -1

Step-by-step explanation:

The gradient of the line segment between two points is also known as the slope,

We  can find this by using the formula; y₂ - y₁ /  x₂ - x₁

The points given to us are;(-1,2) and (-2,3).

This implies x₁ = -1  ,     y₁=2         x₂ =  -2        y₂= 3

We can now proceed to insert our values into the formula;

Gradient = y₂ - y₁ /  x₂ - x₁

               = 3 - 2  /  -2-(-1)

                = 1  /  -2 + 1

                 =1/-1

Gradient = -1

Therefore the gradient of the line segment between the two points is -1

Heyy I'm the person who helped you with the test. Anyway I disagree with the person who answered on top. The correct answer is -5/2!

Answer:

A

Step-by-step explanation:

Answer:

2,860.00

I found the answer

Keith takes out a 35,000 loan to purchase a new car. Keith end up paying in interest after paying his car off in 5 years will pay $5442.50.

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

Keith takes out a 35,000 loan to purchase a new car.

The loan has an interest rate of 3.11%, and Keith will pay the loan back in 5 years with monthly payments of $631.

Simple interests

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

[tex]I = \dfrac{35,000 \times 3.11\times 5}{100}\\\\I = 5442.50[/tex]

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