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Sindrei [870]
3 years ago
8

Assume that the pond contains 90 fish: 64 purple, 25 green, and 1 red. A contestant pays $0.55 to randomly catch one fish and re

ceives $0.40 if the fish is purple, $1.15 if the fish is green, and $9.00 if the fish is red. How much (on average) does the carnival gain on each play? (If the carnival looses money, enter a negative dollar amount)
Mathematics
1 answer:
Licemer1 [7]3 years ago
6 0

Answer:

The carnival is losing (on average) $0.15 on each play

Step-by-step explanation:

To find out how much the carnival wins or looses in each play one subtract the expected value (EV) from each play from the amount charged by the carnival for each play ($0.55). If the expected value is higher than what the carnival charges, the carnival is losing money.

Expected is the sum of the payouts of each bet multiplied by its likelihood:

EV= \frac{64*0.40+25*1.15+1*9.00}{90}\\EV= 0.70

Since the expected value is higher than $0.55, the carnival is losing money, on average, on each play:

0.55-0.7 = -0.15

The carnival is losing (on average) $0.15 on each play

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Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options.
Anon25 [30]

An equation is formed of two equal expressions. The correct options are C, D, and E.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The value of x in the given equation is,

\dfrac35 (30x-15) = 72\\\\(6x - 3) = 72\\\\6x -3 = \dfrac{72}3\\\\6x = 24 + 3\\\\x = 4.5

Substitute the value of x in other option to check if the equations are equal are not. Therefore, the options can be written  as,

A.) 18x - 15 = 72

18(4.5) - 15 = 66

Thus, this will not return the same value.

B.) 50x - 25 = 72

50(4.5) - 25 = 200

Thus, this will not return the same value.

C.) 18x - 9 = 72

18(4.5) - 9 = 72

Thus, this will return the same value.

D.) 3(6x - 3) = 72

3[6(4.5) - 3] = 72

Thus, this will return the same value.

E.) x = 4.5

Thus, this will return the same value.

Hence, the correct options are C, D, and E.

Learn more about Equation:

brainly.com/question/226398

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7 0
2 years ago
Melissa and her friends are stretching rubber bands for an activity in science class. Melissa stretched her elastic to 10 inches
Butoxors [25]
Melissa, Juan, Sara, and Marsha.

Hope this helps! :)
4 0
3 years ago
I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per squ
Jobisdone [24]

Answer:

\frac{a(450-8a^2)}{4}

is the volume in terms of side a

Step-by-step explanation:

Given that you I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per square foot, the material for the roof cost $2 per square foot, and the material for the sides cost $2.50 per square foot; and I spent $450 altogether on material for the shed.

Let a be the side of square and h be the height

Total cost of materials = cost for floor + cost for roof + cost for sides

= area of floor (4) + lateral area (2.50)+roof area (2)

=4a^2+4ah+4a^2\\=8a^2+4ah = 450h = \frac{450-8a^2}{4a}

Now coming to volume

Volume = V = lbh = a^2 h\\= a^2*\frac{450-8a^2}{4a} \\=\frac{a(450-8a^2)}{4}

7 0
3 years ago
Someone help me please
vladimir1956 [14]

Step-by-step explanation:

Hi,

You will have to move the pre-image 15 units to the right. You're also going to have to flip the image horizontally (kind of like flipping it across the x-axis) and after that, you're going to have to flip it so that it's facing the left side.

1) 15 units right

2) Flip-up

3) Flip to the left

Hope this helps :)

3 0
2 years ago
X = {(2, 4), (3, 4), (4,4), (5, 4)) Is x a function and why?
kow [346]
Because they all have a different x number. Even though the y numbers are the same you can tell wether a set of numbers are a function by the x numbers. So since there are different x numbers it is a function. I hope this helps!
4 0
2 years ago
Read 2 more answers
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