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Nikitich [7]
2 years ago
15

11. 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?
-$0.50
-$1.00
-$0.40
$0.00
Mathematics
2 answers:
IrinaK [193]2 years ago
7 0
50 cents because the prize is half the number of tickets and 50 is half of the dollar
erastovalidia [21]2 years ago
6 0

Answer:

-50 cents

Step-by-step explanation:

The "Winnings" random variable has values -1 and 499

The associated probabilities are P(-1)= 999/1000; P(499)=1/1000

-----------------------------

Expected Value = -1(999/1000) + 499(1/1000) = -500/1000 = -50 cents

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Nutka1998 [239]

Answer:

Step-by-step explanation:

12) Decrease in miles = 22,250 - 14,500 = 7750 miles

Percent \ decrease = \dfrac{7750}{22250}*100

                             = 34.83%

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Percent \ decrease = \dfrac{15}{40}*100

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6 0
3 years ago
The nurse needs to mix 2% solution with 10% solution to get 10 ml of the prescribed 6% solution. What amount of each solution do
xenn [34]

<em>Volumes of 2% Solution = </em><em>5 ml</em>

<em>Volumes of 10% Solution = </em><em>5 ml</em>

\texttt{ }

<h3>Further explanation</h3>

Simultaneous Linear Equations could be solved by using several methods such as :

  • <em>Elimination Method</em>
  • <em>Substitution Method</em>
  • <em>Graph Method</em>

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

\texttt{ }

<em>Let:</em>

<em>Volumes of 2% Solution = x</em>

<em>Volumes of 10% Solution = y</em>

\texttt{ }

<em>Total Volume = 10 ml</em>

\boxed{x + y = 10} → <em>Equation 1</em>

\texttt{ }

<em>The nurse needs to mix 2% solution with 10% solution to get 10 ml of the prescribed 6% solution</em>.

2 \% x + 10 \% y = 6 \% (10)

2x + 10y = 6(10)

\boxed{x + 5y = 30} → <em>Equation 2</em>

\texttt{ }

<em>Equation 1 - Equation 2:</em>

( x + y ) - ( x + 5y ) = 10 - 30

-4y = -20

y = -20 \div -4

y = 5 \texttt{ ml}

\texttt{ }

x + y = 10

x + 5 = 10

x = 5 \texttt{ ml}

\texttt{ }

<h2>Conclusion:</h2>

<em>Volumes of 2% Solution = </em><em>5 ml</em>

<em>Volumes of 10% Solution = </em><em>5 ml</em>

\texttt{ }

<h3>Learn more</h3>
  • Perimeter of Rectangle : brainly.com/question/12826246
  • Elimination Method : brainly.com/question/11233927
  • Sum of The Ages : brainly.com/question/11240586

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations

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1/16^3x=64^2(x+8)<br> Solve for x.
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Answer:

x = -4

Step-by-step explanation:

16 = 4*4 = 4²

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Subtract 48 from both sides

6x = -6x - 48

Add '6x' to both sides

6x + 6x = -48

12x = -48

Divide both sides by 12

x = -48/12

x = -4

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