Answer:
D.
Step-by-step explanation:
Two events A and B are independent when
where 
is the probability that event A occurs given that event B has occured.
A = randomly selected person is from California
B = randomly selected person preferred brand A
A|B = being a person from California and preferring brand A.
Hence,
Since 
events are independent.
Answer:
PQ=30
Step-by-step explanation:
Knowing that the segment has 3 parts that are 3:1:1 and sum up to 50, you could find how much 1 would equal by finding the total in relation to the ratio (doing 3+1+1) which gets you 5 parts. Then you can divide the total (50) by 5 to figure out how much one part would equal (10). Now, since you know that 1 part is equal to 10 and that PQ is 3 parts, you can find that PQ is equal to 3x10, or 30.
Step-by-step explanation:
(3x² + 4x - 8) - (-2x² + 4x + 2)
[3 - (-2) = 5] , [ 4 - 4 = 0] , [ (-8) - 2 = -10]
5x² + 0x - 10
(or)
5x² - 10
8+2k=4k+4
8-4=4k-2k I placed the like terms on each side.
4=2k Simplify
4/2=k Leave the variable a side
2 = k
let the speed of plane in still air be x and that wind be y
therefore:
x+y=490
x-y=390
next we solve for the values of x and y, first we add the above equations. This will give us:
2x=880
x=880/2
x=440 miles per hour.
substituting the value of x in one of the equations and solving for y we get:
440+y=490
y=490-440
y=50 miles per hour
