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,
![P(A\cap B)=P(A)\times P(B)](https://tex.z-dn.net/?f=P%28A%5Ccap%20B%29%3DP%28A%29%5Ctimes%20P%28B%29)
Compute the value of P (<em>X ∩ Y</em>) as follows:
![P(X\cap Y)=P(X)\times P(Y)=0.50\times 0.0001=0.00005](https://tex.z-dn.net/?f=P%28X%5Ccap%20Y%29%3DP%28X%29%5Ctimes%20P%28Y%29%3D0.50%5Ctimes%200.0001%3D0.00005)
Thus, the probability that Joe's stock will go up and he will win in the lottery is 0.00005.
14. sometimes, you can have a 45-45-90 or 60-30-90 triangle (degrees)
sometimes true
15. always
16. never, paralellogram has 2 pairs of paralell sides, trapezoid has 1
17.always
18. sometimes
19. always
20. always
Answer:
22
Step-by-step explanation:
ST is y and SU is 2y-4.
Note that SU = ST + TU = y + 18
So we have 2y - 4 = y + 18
2y - 4 = y + 18
2y = y + 22
y = 22
So ST is 22.
:)
Answer:
24x^2 - 12x
Step-by-step explanation:
C=4x -2
D=x + 5x
(4x - 2) * (x +5x)
4x^2 + 20x^2 - 2x - 10x
=24x^2 - 12x
Answer: A.) 21/5 but as a mixed number it's 4 1/5 B.) 175/24 but as a mixed number it's 7 7/24
Step-by-step explanation: