Determine whose method is the most fair, based on probability. Show your work. If needed, use a 6 × 6 array when analyzing Keenan’s method.
Explain why Gerard’s method isn’t fair.
Explain why Elena’s method would be unfair.


Elena, Keenan, and Gerard are planning a movie night, but can’t decide which movie to watch. Elena wants to watch an action movie, Keenan wants to watch a comedy, and Gerard wants to watch a science fiction movie. Since no one is budging on their movie preference, the three friends propose different methods for choosing the movie they’ll watch:

Elena suggests they call up her sister and have her make the choice for them.
Keenan suggests they roll two dice and find the sum of the dice. If the sum equals 2, 3, 4, or 7, then they’ll watch an action movie. If the sum equals 8, 9, or 10, then they’ll watch a comedy. If the sum equals 5, 6, 11, or 12, then they’ll watch the science fiction movie.
Gerard suggests they flip a coin two times. If both flips land on heads, then they watch an action movie. If both flips land on tails, then they watch a comedy. And if one flip lands on heads and one lands on tails, then they watch a science fiction movie.

Answer: Crissy is correct

Step-by-step explanation:

Given

The volume of the rectangular prism is [tex]360\ units^3[/tex]

The height of the prism is [tex]h=10\ units[/tex]

Suppose A is the area of the base

So, the volume is given by

[tex]\Rightarrow V=A\times h[/tex]

Insert the values

[tex]\Rightarrow 360=A\times 10\\\Rightarrow A=36\ \text{or}\ 6\times 6\ units^2[/tex]

As 36 is the perfect square of 6, therefore, the base is a square with the dimension of [tex]6\times 6\ units^2[/tex]

Crissy's claim is correct.  

Answer:

81

Step-by-step explanation:

go hgv thx bgg TV vvt g h.c g ccx d

Answer:

24

Step-by-step explanation:

Total number of students and adult per class = 28 + 7 = 35

Van capacity = 9

Number of classes = 6

Total number of students including adults = (35 * 6) = 210

Number of vans needed = total / van capacity

= 210 / 9

= 23.333

Atleast 24 vans

Answer:

The length of the arc is 6.28 inches

Step-by-step explanation:

Given

[tex]\theta = 60[/tex]

Required

Length of the arc

This is calculated as:

[tex]L = \frac{\theta}{360} * 2\pi r[/tex]

So, we have:

[tex]L = \frac{60}{360} * 2 * \frac{22}{7} * 6[/tex]

[tex]L = \frac{15840}{2520}[/tex]

[tex]L = 6.28in[/tex]

Answer:

B

Step-by-step explanation:

you are comparing percent to percent and total boys to total class.

Answer:

P/100=6/9

Step-by-step explanation:

P represent percentage and percentage is 100. so

Answer:

341 in sq

Step-by-step explanation:

When you are finding the area of trapezoids you have to do b1+b2/2 times height because there are two bases you have to include them both so adding 40 and 22 gives 62 and you have to divide that by 2 because the numbers will be too big and way off so 62/2 = 31 and you multiply that by the height to get 341 in sq. Hope it helps :P

Answer:

72

Step-by-step explanation:

8 times 9 is 72

Answer:

1536 boys.

Step-by-step explanation:

Quite simple! 51.2% is 0.512, which we can use to calculate the number.

[tex]3000 * 0.512 = 1536[/tex] boys.

Alternative notation: 3000 * 51.2% = 1536

Answer:

1/6

Step-by-step explanation:

There are 6 sides on a dice. Every time you roll you you will have one of those sides. So it is a 1 in 6 chance of you getting 4, meaning that the answer to this problem is 1/6

Answer:

Step-by-step explanation:

f'(x)=-sin x

[tex]f'(x)=\frac{cos \frac{\pi }{3} -cos (\frac{-\pi }{3}) }{\frac{\pi }{3} -(\frac{-\pi }{3}) } \\-sin x=\frac{\frac{1}{2} -\frac{1}{2} }{\frac{\pi }{3} +\frac{\pi }{3} } \\sin x=0\\at x=c ,sin c=0,c=0[/tex]

c=0∈(-π/3,π/3)

ANSWER:

A cross section parallel to the base is a rectangle measuring 15 inches by 6 inches.

A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.

A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 4 inches by 15 inches.

A cross section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.

Step-by-step explanation:

HOPE IT HELPS

#CARRYONLEARNING

Answer:

1, 3, 5. *please report my answer if it is incorrect.*

Step-by-step explanation:

A cross-section parallel to the base is a rectangle measuring 15 inches by 8 inches.

A cross-section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.

A cross-section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.

Answer:

I think the answer is 75.

Step-by-step explanation:

because 35 + 70 is equal to 105. So now we will just subtract 105 by 180. which will give us 75.

The ratio of Lujain's earning to total earning is equal to $100.

Given the following data:

To determine the ratio of Lujain's earning to total earning:

In this exercise, you're required to calculate the total amount of money that Lujan would earn from the given ratio. Thus, we would solve as follows:

For a ratio of 10:

[tex]Amount=\frac{10}{24} \times 240\\\\Amount=\frac{2400}{24}[/tex]

Amount = $100.

Read more on ratio here: brainly.com/question/13513438

Answer:

Solution given:

(x1,y1)=(-4,-5)

(x2,y2)=(0,-8)

distance=?

we have

distance=[tex] \sqrt{(x2-x1) ²+(y2-y1) ²}[/tex]

d=[tex] \sqrt{(0+4)²+(-8+5) ²}[/tex]

d=[tex] \sqrt{25}[/tex]

d=[tex] 5[/tex]units

[tex] 5[/tex]units I travelled.

Answer:

C. Never

Step-by-step explanation:

The legs of a right triangle are never longer than the hypotenuse. Otherwise, the legs would never connect to the hypotenuse.

peeeeeeeeeeeeeeeeeeeeeeeeeenas

Answer:

B.

Step-by-step explanation:

$2.25 is the cost of each video that is rented, so $2.25 times v (or 2.25v) represents the cost of 'v' videos.

$20 is the constant, as it costs $20 to join the club. Since this doesn't change, it is the constant.

So, we would have the equation:

f(v) = 2.25v + 20

f(v) is the total cost.

B is your answer because it is the only one with the correct equation.

Hope this helps!

Answer:D hope it helped

Step-by-step explanation:

Answer:

d I think tbh I don't know

Step-by-step explanation:

you take them and times it by the number you had

Answer: 20

Step-by-step explanation:

2²=2×2=4

4×5=20

Answer:

Radius, r = 2.50 inches

Step-by-step explanation:

Given the following data;

Slant height of cone = 6 inches

Lateral surface area (LSA) of cone = 47.1 sq inches

To find the radius of the cone;

Mathematically, the lateral surface area of a cone is given by the formula;

LSA = πrl

47.1 = 3.142 * r * 6

47.1 = 18.852r

Radius, r = 47.1/18.852

Radius, r = 2.50 inches

Answer:

Use Cross product Or Multiply both sides by 6 to get x alone

x/6 = 4/5

Multiplying 6 on both sides

we have

x=4/5 x 6

x=24/5 = 4.8

Answer:

3 can

Step-by-step explanation:

there

Answer:

Option (D)

Step-by-step explanation:

Given equation is,

[tex]8e^{2x+1}=4[/tex]

Taking natural log on both the sides of the equation,

[tex]\text{ln}(8e^{2x+1})=\text{ln}(4)[/tex]

[tex]\text{ln}(2^3)+\text{ln}(e^{2x+1})=\text{ln}(2^2)[/tex]

3ln(2) + (2x + 1)[ln(e)] = 2ln(2)

2n(2) - 3ln(2) = (2x + 1)

2x = -ln(2) - 1

[tex]2x=\text{ln}(\frac{1}{2})-1[/tex]  [Since, -ln(2) = ln(1) - ln(2) = [tex]\text{ln}(\frac{1}{2})[/tex]]

[tex]2x=\text{ln(0.5)}-1[/tex]

[tex]x=\frac{\text{ln(0.5)-1}}{2}[/tex]

Therefore, Option (D) will be the correct option.

The height is 8.4.

Calculated with H = V / πr^2, with H for height, V for volume, and r for radius (the diameter divided by 2).

A = p(1+r)^t

1600 = p(1+0.08)¹⁰

P = 1600/2.1589

P= 741.12

741.12 dollar money did you originally deposit into your savings account!

Answer:

Simple interest:  Principal = $2000

Annual compound interest:  Principal = $1380.59

Step-by-step explanation:

As the question does not stipulate which type of interest was applied, please find below calculations for both simple interest and annual compound interest.

Simple Interest Formula

I = Prt

where:

Given:

Substitute the given values into the formula and solve for P:

[tex]\implies \sf 1600=P(0.08)(10)[/tex]

[tex]\implies \sf 1600=0.8P[/tex]

[tex]\implies \sf P=\dfrac{1600}{0.8}[/tex]

[tex]\implies \sf P=2000[/tex]

Therefore, the initial deposit (principal) was $2000.

.....................................................................................................

Annual Compound Interest Formula

[tex]\large \text{$ \sf I=P\left[\left(1+r\right)^{t} -1\right]$}[/tex]

where:

Given:

Substitute the given values into the formula and solve for P:

[tex]\implies \sf 1600=P\left[\left(1+0.08)^{10}-1\right][/tex]

[tex]\implies \sf 1600=P\left[\left(1.08)^{10}-1\right][/tex]

[tex]\implies \sf 1600=P\left[2.15892...-1\right][/tex]

[tex]\implies \sf 1600=P\left[1.15892...\right][/tex]

[tex]\implies \sf P=\dfrac{1600}{1.15892...}[/tex]

[tex]\implies \sf P=1380.5897...[/tex]

Therefore, the initial deposit (principal) was $1380.59 (nearest cent).

Learn more about simple interest here:

https://brainly.com/question/27743947

Learn more about compound interest here:

https://brainly.com/question/27747709

Answer:

[tex]2X10^{3}[/tex]

Step-by-step explanation: