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.
It’s $15.69 for each of the 3 pizzas because 15.69+15.69+15.69=47.07 and then add the delivery fee and it’s 49.57
Step-by-step explanation:
12 = 2 × 2 × 3
18 = 2 × 3 × 3
56 = 2 ×2 × 2 × 7
Now
Common factor = 2
Remaining factor = 2 × 3 × 2 × 3 × 7
LCM = RF × CF
= 504
hence the lCM of 12 , 18 and 56 is 504...

Answer:
1. A(1;5), B(10;23), slope of 2
2. A(10;9), B(4;0), slope of 1.5
3. A(-35/4;6), B(9;-35/6), slope of -2/3
4. A(5;18), B(25,22), slope of 0.2
5. A(2/9;1/3), B(2/3,-1/3), slope of -1.5
Step-by-step explanation:
Substitute values with correct variable and slopemis coefficient of x when x and y-int. are on 1 side, y is on other side and has coefficient of 1. Hope it works!