The expected value of the game is the mean value of the game
The expected value of the game is $1
<h3>How to determine the expected value?</h3>
There are 13 spades in a deck of card of 52
So, the probability of selecting a spade is:
P(Spade) = 13/52
Simplify
P(Spade) = 1/4
Winning = $7
The probability of not selecting a spade is:
P(Not spade) = 1 - 1/4
Simplify
P(Not spade) = 3/4
Lose = $1
The expected value of the game is:

This gives

Simplify

Evaluate

Hence, the expected value of the game is $1
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Answer:
Step-by-step Socrates was a Greek philosopher, considered one of the most important, a master of Plato, who called Aristotle a discipleexplanation:
Answer:
Option D. y=6x
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
<em>Verify each case</em>
case a) y=(1/6)x+6
Is a linear equation, but is not a direct variation. The line not passes through the origin
case b) y=6/x
The equation represent an inverse variation
case c) y=6x-6
Is a linear equation, but is not a direct variation. The line not passes through the origin
case d) y=6x
The equation represent a direct variation
Answer:
240 minutes
Step-by-step explanation:
60 minutes = 1 hour
4 hours = 60*4 = 240 minutes
Answer: a = 
Step-by-step explanation:
Rewrite the equation as 4a + 9ab=K
Factor out a of 4a + 9b
a (4 + 9b) = K
divide each term by 4 + 9b and simplify
=