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icang [17]
3 years ago
9

Mark, Evan, and Cayla are playing a game. There are 3 blue marbles, 2 red, and 1 green marble. If Mark pulls a blue marble he ge

ts $1. If Evan pulls a red marble, he gets a $2. If Cayla pulls a green marble, she gets $3. Is this a fair game? If not, who has the advantage?
A) It is a fair game.

B) It is not a fair game. Mark has the advantage.

C) It is not a fair game. Evan has the advantage.

D) It is not a fair game. Cayla has the advantage.
Mathematics
2 answers:
NISA [10]3 years ago
6 0

Answer:

C) It is not a fair game. Evan has the advantage.

Step-by-step explanation:

Mark's expected value is 3/6×$1 = $0.50.

Evan's expected value is 2/6×$2 = $0.67.

Cayla's expected value is 1/6×$3 = $0.50.

_____

Evan's expected value exceeds that of the other players. It is not fair.

Allisa [31]3 years ago
3 0

Answer:

I think the answer is b

Step-by-step explanation:

Because Mark has a better probability of getting at least  something

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Help please show the work if you can
Vlada [557]

Answer:

The inverse function of 3x - 4 is (x+4)/3. so a

Step-by-step explanation:

f(x) = 3x - 4

y = 3x - 4 replace f(x) with y

x = 3y - 4 replace x with y and y with x.

3y = x + 4 solve for y

y = (x+4)/3 replace y with f-1(x)

f-1(x) = (x+4)/3

8 0
3 years ago
The perimeter of a square mirror is 88 inches. What is the length of each side of the mirror in inches?
Anton [14]
P=4xL
If p=88
L= p/4
L=88/4 -------L=22
6 0
2 years ago
I promise I will mark as brainiest if a speed of a car increase its average speed in a journey of 200 miles by 5 mile/hour the j
jok3333 [9.3K]

Answer:

\large \boxed{\sf \ \ \ \dfrac{\sqrt{4025}-5}{2}=29.22144... \ \ \ }

Step-by-step explanation:

Hello

<u>Let's note the original speed of the car v</u>

it means that in 1 hour he is going v miles

so to go 200 miles it takes ( in hour)

\dfrac{200}{v}

If the speed of the car is v+5 than to go 200 miles it takes (in hour)

\dfrac{200}{v+5}

and this time is one hour less so we can write

\boxed{\sf \ \ \dfrac{200}{v+5}=\dfrac{200}{v}-1 \ \ }

We can multiply by v(v+5) both parts of the equation so

200v=200(v+5)-v(v+5)\\\\200v=200v+1000-v^2-5v\\\\v^2+5v-1000=0

\Delta=b^2-4ac=5^2+4*1000=4025\\\\ \text{There are potential solutions }\\\\\ \ \ \ \ x_1=\dfrac{-5-\sqrt{4025}}{2}\\\\\ \ \ \ \ x_2=\dfrac{-5+\sqrt{4025}}{2}

Only one is positive and this is is

x_1=\dfrac{\sqrt{4025}-5}{2}=29.22144...

So the original speed is 29.22144... mph

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

7 0
3 years ago
Simplify<br><br> x^4 * x <br><br> What would be the simplified answer
kramer

Answer: The simplified answer will be: x^5

Step-by-step explanation:

x4x

=x4*x1

=(x*x*x*x)*(x)

=x*x*x*x*x

=x^5

5 0
2 years ago
Read 2 more answers
A silo is not the shape of a cone. The silo is 8 meters tall and it's base has a diameter of 3 meters. Soybeans cost $414 per cu
Gnom [1K]

Answer:

$7803.72

Step-by-step explanation:

We have been given that a silo is in the shape of a cone. The silo is 8 meters tall and it's base has a diameter of 3 meters. Soybeans cost $414 per cubic meter. We are asked to find the total cost to fill the silo with soybeans.

First of all, we will find the volume of silo using volume of cone formula.

\text{Volume of cone}=\frac{1}{3}\pi r^2 h, where,

r = radius

h = Height

We know that radius is half the diameter, so radius of silo would be r=\frac{3}{2}=1.5.

\text{Volume of cone}=\frac{1}{3}\pi (1.5\text{ m})^2 (8)\text{ m}

\text{Volume of cone}=\frac{1}{3}\pi\times 2.25\text{ m}^2 (8)\text{ m}

\text{Volume of cone}=\pi\times 0.75\text{ m}^2 (8)\text{ m}

\text{Volume of cone}=\pi\times 6\text{ m}^3

\text{Volume of cone}=18.8495559\text{ m}^3

Now we will multiply total volume by $414 to find total cost.\

\text{Total cost of soybeans}=\$414 \times 18.8495559

\text{Total cost of soybeans}=\$7803.7161426

\text{Total cost of soybeans}\approx \$7803.72

Therefore, it will cost $7803.72 to fill the silo with soybeans.

5 0
3 years ago
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