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guapka [62]
3 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]3 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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Two similar solids have edges of 12 feet and 24 feet. If the smaller
nekit [7.7K]

Answer: 2,160\ ft^3

Step-by-step explanation:

The first step is to find the ratio of the lengths.

According to the information given in the exercise, one the solids has edges of  12 feet and the other solid has edges of 24 feet.

Therefore, the ratio of the length of the smaller solid to the length of the is the following:

k=\frac{24\ ft}{12\ ft}\\\\k=2

Now, the ratio to the volumes of the smaller solid to the other one is the following:

k^3=2^3=8

Then, knowing that the volume of the smaller solid is:

V_s=270\ ft^3

You get that the volime of the larger solid is:

V_l=270\ ft^3*8\\\\V_l=2,160\ ft^3

8 0
3 years ago
Four times a number minus twice another number is -8. The sum of the two number is 19.Find the numbers
grigory [225]
1. To solve this exercise, you must make a system of equations.

 2. You have that f<span>our times a number minus twice another number is -8:
</span>
 4x-2y=-8

 3. And t<span>he sum of the two number is 19:
</span>
 x+y=19

 4. As you can see, you have two equations:

 4x-2y=-8   (i)
 x+y=19     (ii)

 5. Let's clear the "x" from the equation (ii):

 x=19-y

 6. Now, you need to susbtitute x=19-y into the equation (i):

 4x-2y=-8
 4(19-y)-2y=-8
 76-4y-2y=-8
 76-6y=-8
 -6y=-8-76
 -6y=-84
 y=-84/-6
 y=14

 7. You must susbstitute y=14 into the equation (ii) and clear "x":

 x+y=19
 x+14=19
 x=19-14
 x=5

 The answer is: 5 and 14
6 0
3 years ago
B + (4 - a) x 9 = ???
Arte-miy333 [17]

Answer:

-9a + b + 36

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Please please help I beg you
german

Answer:

Step-by-step explanation:

4 0
3 years ago
Last one!! I need the steps please! Will mark brainliest!
hoa [83]

Answer:

h(t)=-6(t-2)^2+24

Step-by-step explanation:

Given function:

h(t)=-6t^2+24t

where:

  • h = height (in feet)
  • t = times (in seconds)

Rewrite in the form h(t)=a(t-h)^2+k

The quickest way to do this is to expand h(t)=a(t-h)^2+k and compare coefficients with the original function.

\begin{aligned}h(t)& =a(t-h)^2+k\\ & = at^2-2aht+ah^2+k\end{aligned}

Comparing coefficients with h(t)=-6t^2+24t

\begin{aligned}\implies at^2& =-6t^2\\ a &=-6\end{aligned}

\begin{aligned}\implies -2aht & =24t\\ -2(-6)ht& =24t\\ 12ht & = 24t\\ 12h & = 24\\ h & = 2\end{aligned}

\begin{aligned}\implies ah^2+k & = 0\\(-6)(2)^2+k &=0\\ -24+k & =0\\ k &=24 \end{aligned}

Therefore, substituting the found values into the equation:

h(t)=-6(t-2)^2+24

6 0
2 years ago
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