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guapka [62]
2 years ago
7

Calculate the expected value of playing a lottery ticket game where each ticket costs $5, and the chance of having winning ticke

t is one in one million, and the payout for having a winning ticket is 4.9 billion dollars. Round the expected value to the nearest cent.
Mathematics
1 answer:
Amanda [17]2 years ago
6 0

Answer:

$4895

Step-by-step explanation:

P(winning) = 1 / 1000000 = 0.000001

P(not winning) = 1 - 1/1000000 = 0.999999

Winning amount = 4,900,000,000 - 5 = 4899999995

Amount lost = - 5

__ X: - 5 _________ 4899999995

P(X) : 0.999999 ___ 0.000001

Expected value E(x) = Σx * p(x)

E(x) = - 5(0.999999) + 4899999995(0.000001)

E(x) = - 4.999995 + 4899.999995

E(x) = 4895

Hence, expected value is 4895

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1.5/4x+1=0.4/x+4 PLEASE HELP ITS PROPORTIONS
Serhud [2]

Answer:

Proportion states that the two fractions or ratios are equal

Given the equation:  \frac{1.5}{4x+1} = \frac{0.4}{x+4}

By cross multiply we get;

1.5(x+4) = 0.4(4x+1)

Using distributive property; a\cdot (b+c) = a\cdot b+ a\cdot c

1.5x + 6= 1.6x + 0.4

Subtract 0.4 from both sides we get;

1.5x +5.6= 1.6x

Subtract 1.5x from both sides we get;

5.6= 0.1x

Divide both sides by 0.1 we get;

x = \frac{5.6}{0.1}

Simplify:

x = 56

Therefore, the value of x that satisfy the equation \frac{1.5}{4x+1} = \frac{0.4}{x+4} is, 56

5 0
3 years ago
The number of kilograms of water in a human body varies directly as the mass of the body. An 87​-kg person contains 58 kg of wat
katen-ka-za [31]

Answer:

50 kg water.

Step-by-step explanation:

We have been given that the number of kilograms of water in a human body varies directly as the mass of the body.

We know that two directly proportional quantities are in form y=kx, where y varies directly with x and k is constant of variation.

We are told that an 87​-kg person contains 58 kg of water. We can represent this information in an equation as:

58=k\cdot 87

Let us find the constant of variation as:

\frac{58}{87}=\frac{k\cdot 87}{87}

\frac{29*2}{29*3}=k

\frac{2}{3}=k

The equation y=\frac{2}{3}x represents the relation between water (y) in a human body with respect to mass of the body (x).

To find the amount of water in a 75-kg person, we will substitute x=75 in our given equation and solve for y.

y=\frac{2}{3}(75)

y=2(25)

y=50

Therefore, there are 50 kg of water in a 75​-kg person.

3 0
3 years ago
Plssss help 30 pointsss<br><br> If your slope is 1/3 how do you move horizontally?
sweet [91]

What is 1/3 as a slope?

The answer is approximately 18.43º. A slope of 1 in 3 means the slope is 1/3. It also means a rise of 1 and a run of 3. On a graph, starting at the origin, go up 1 unit, then from there, go to the right 3 units.

(hope this helps) :)

7 0
2 years ago
Can I get help with number 16.
pychu [463]
All of these points have the same y coordinate so this is a horizontal line which has a slope of 0.
8 0
3 years ago
Calculate the second moment of area of a 4-in-diameter shaft about the x-x and yy axes, as shown.
Keith_Richards [23]
Second moment of area about an axis along any diameter in the plane of the cross section (i.e. x-x, y-y) is each equal to (1/4)pi r^4.
The second moment of area about the zz-axis (along the axis of the cylinder) is the sum of the two, namely (1/2)pi r^4.

The derivation is by integration of the following:
int int y^2 dA
over the area of the cross section, and can be found in any book on mechanics of materials.

6 0
3 years ago
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