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.
Sin = opposite/hyp
Sin A = 10/26 = 5/13
Sin b = 24/26 = 12/13
The answer is option A
Hope this helps
Answer:
X = -8
Step-by-step explanation:
-7(x-5)=91
x-5=-13
x=-13+5
x=-8
Answer:
options????????
Step-by-step explanation:
...?.
We can say L as length and W as the width
L= 3w + 8
The formula for perimeter is 2L + 2W = P. We can substitute L in as "3w+8" to make the equation...
2(3w+8)+2w=88 Now, we can simplify by distributing the 2 to each term
6w+16+2w=88
8w+16=88 Then subtract 16 from each side..
8w=72
w=9
So the width is 9, so we can substitue that into the previous equation, L = 3w+8.
L=3(9)+8
L=27+8
L=35, W=9