Expected value of the bet is
the sum of the products of value of outcome and its probability,
less the amount paid to place the bet.
Outcomes value probability
win 225 1/4
lose 0 3/4
cost of bet = 40
So expected value of bet
E[X]=225*(1/4)+0*(3/4)-40
=56.25-40
=16.25
This means that in the long run, gambler will win, since the expected value is positive. (does NOT mean she will win in the next bet!)
Answer:
36
Step-by-step explanation:
Since f(x) varies directly with x, f(x) can be expressed alternatively as \[f(x) = k * x\] where k is a constant value.
Given that f(x) is 72 when the value of x is 6.
This implies, \[72 = k * 6\]
Simplifying and rearranging the equation to find the value of k:
k = \frac{72}{6}
Hence k = 12
Or, \[f(x) = 12 * x\]
When x = 3, \[f(x) = 12 *3 \]
Or in other words, the value of f(x) when x=3 is 36
The answer to the equation is infinitely many solutions
Answer:
y = 2/5x + 12/5
Step-by-step explanation:
Let's solve for y.
2x−5y=−12
Step 1: Add -2x to both sides.
2x−5y+−2x=−12+−2x
−5y=−2x−12
Step 2: Divide both sides by -5.
−5y/−5 = −2x−12/−5
y = 2/5x + 12/5
