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Olenka [21]
4 years ago
9

Find the expected value of the random variable. Round to the nearest cent unless stated otherwise. Suppose you buy 1 ticket for

$1 out of a lottery of 1,000 tickets where the prize for the one winning ticket is to be $500. What is your expected value
Mathematics
1 answer:
QveST [7]4 years ago
5 0

Answer:

Expected Value = - 0.5

Step-by-step explanation:

Expected Value [ E(X) ]  = Σ  {X. Probability (X)} = Σ [ (X).P(X) ]

  • Case 1 : Lottery Won

Probability = 1 / 1000

X Value = 500 - 1 = 499

  • Case 2 : Lottery Lost

Probability =  1 - Probability Winning = 999 / 1000

X Value = -1

  • Expected Value :

(1 / 1000) (499) + (999 / 1000) (-1)

0.499 - 0.999

= - 0.5

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Find a and b if<br>2^a×3^b=12​
krok68 [10]

Answer:

12=12

Step-by-step explanation:

2a = b

a -3b =12

To solve, set one of the equations equal to zero.  The first equation is actually already set to 0.

b = 2a

Now you can plug this equation into the other one, by substituting the b in the equation with this.

a -3b = 12

a – 3(2a) = 12

Now all you have to do is distribute the 3 (multiply the number outside the parenthesis, 3 in this case, by everything inside).

a – 6a = 12

Combine like terms.  Since we have 1 positive a and 6 negative ones, we subtract the two numbers without the signs

6-1 = 5

And take the sign of the larger number.  Since 6 is large and 6 is negative, we are left with

-5a = 12

Now solve for a, which in this case means dividing both sides by -5

a = -12/5

Simplify

a = -2.4

Now that you have a, it’s easy to find b

b = 2a

b = 2(-2.4)

b= -4.8

Now you check your work by plugging your new a and b into either equation to see if it’s true.

-4.8 = 2(-2.4)

-4.8 = -4.8

And just for laughs let’s try the other equation

 

a -3b =12

-2.4 – 3(-4.8) = 12

Distribute the 3 again.  Remember that when two negative numbers are multiplied they become positive.

-2.4 +14.4 = 12

12 = 12

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PLZ ANSWER QUICK!!! FULL QUESTION IN PHOTO!!!​
cestrela7 [59]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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In a recent semester at a local university, 490 students enrolled in both General Chemistry and Calculus I. Of these students, 6
posledela
I think its 149/ 490. Not sure, but pretty confident. Hope this helps.
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3 years ago
2,12,72,432 what is the formula?
egoroff_w [7]

Answer: The formula is x6

Step-by-step explanation:

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3 years ago
PLEASE HELP ME WITH MATH
Alexxandr [17]

Answer:

down below

Step-by-step explanation:

1) 4% of 120 = 4.8, so 120+4.8 = 124.8 cm tall

2) 12% of 6000 = 720 .  6000-720 = 5280 gallons

3) 22% of 200 = 44 . 200-44 = 156

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