Answer:
Step-by-step explanation:
The intersection is the point where two equations meet. It is calculated by substituting terms into the equations involved. For the given systems of equation, calculations are as follows:
2x - y = 6
y = 2x - 6
We substitute the equation above to the second equation.
5x + 10y = –10
5x + 10( 2x - 6 )= –10
Simplifying,
5x + 20x - 60 = -10
25x = 50
x = 2
Therefore, the intersection has the value of x equal to 2.
Answer:
The probability that Joe's stock will go up and he will win in the lottery is 0.00005.
Step-by-step explanation:
Let the events be denoted as:
<em>X</em> = the stock goes up
<em>Y</em> = Joe wins the lottery
Given:
P (X) = 0.50
P (Y) = 0.0001
The events of the stock going up is not dependent on the the event of Joe winning the lottery.
So the events <em>X</em> and <em>Y</em> are independent of each other.
Independent events are those events that can occur together at the same time.
The joint probability of two independent events <em>A</em> and <em>B </em>is,
Compute the value of P (<em>X ∩ Y</em>) as follows:
Thus, the probability that Joe's stock will go up and he will win in the lottery is 0.00005.
Answer:
300+12x=$450
Step-by-step explanation:
Answer:
8
(
x − 7
) (
x + 4
)
Step-by-step explanation: