Answer:
P(A) = 44.44%
P(B) = 50%
P(B|A) = 37.5%
P(B|A) different from P(B).
A and B are independent.
Step-by-step explanation:
If we have a total of 180 students, and 80 of them have a Playstation, we have that P(A) = 80/180 = 0.4444 = 44.44%
If we have 90 students that have a Xbox, we have that P(B) = 90/180 = 0.5 = 50%
If we have 30 students that have both consoles, we have that P(A and B) = 30/180 = 0.1667 = 16.67%
To find P(B|A), we will find for a student that has an Xbox inside the group of students that has a Playstation, that is, we have 30 students in a total of 80 students, so P(B|A) = 30/80 = 0.375 = 37.5%
P(B|A) is different from P(B), the first is 37.5% and the second is 50%, so events A and B are independent events.
For E the answer is 2. Because the square of 1 is one and 9 is three. And 2 to the square root of two which would be 2 time 2= 4
He would earn $30 for 45 minutes.
Example:
60min=$40/hr
1min =$40/$60/hr
45min=$40/$60*45
$30 for 45min
Convert this to slope-intercept form
subtract 1/4x,
3/4y=1-1/4x
then multiply my 4/3
y=4/3-1/3x
y=-1/3x+4/3
4/3 is the y-intercept, so when you're graphing begin with it. Then find another point on the graph according to the slope. Plot point (0,4/3) then plot a point with a y-value 1 less and an x-value 3 more. (slope is sometimes called rise over run because it is a ratio of the change in the y-value divided by the change in the x-value) Plot point (3,1/3). Connect the dots with a ruler and draw a line.
