Let x be the probability of winning and let y be the probability of losing. Then we can write the following equation:
2x - y = -0.65 ..............(1)
the sum of the probabilities of winning and losing must equal 1.
x + y = 1............(2)
Rearranging (2), gives:
y = 1 - x ............(3)
Plugging the expression for y from (3) into (1), we get:
2x - 1 + x = -0.65
which simplifies to:
3x = 0.35
Therefore x = 0.117 and y = 0.883.
The expected value of the game will be a loss of 65 cents if the probability of winning is 0.117 and the probability of losing is 0.883.
Answer:
6
Step-by-step explanation:
Given : g(x) = and h(x)=2x-8.
g*h(x) =(2x-8).
We have square root(x-6) in composite function f*h(x).
So, we need to find the domain, we need to check for that values of x's, square root(x-4\6) would be defined.
Square roots are undefined for negative values.
Therefore, we can setup an inequality for it's domain x-6≥0.
Adding 4 on both sides, we get
x-6+6≥0+6.
x≥6.
Answer:
X 3/14
Step-by-step explanation:
Answer:
The number of pennies in the bank is 42
Step-by-step explanation:
Solution:
Given that ratio of pennies to quarters in a piggy bank is 14 : 3
Let 14x be the number of pennies in a piggy bank
Let 3x be the number of quarters in the piggy bank
To find: number of pennies
Given that there are 51 quarters
number of pennies in piggy bank + number of quarters in piggy bank = 51
14x + 3x = 51
17x = 51
x = 3
number of pennies = 14x = 14(3) = 42
Thus the number of pennies in the bank is 42
Answer:
+1/7
Step-by-step explanation:
One approach to evaluating this would be to rewrite it as:
-2 -5
------ * --------- .
10 7 This reduces to:
2
--------- = +1/7
2(7)
