Answer:
Step-by-step explanation:
Given
Required
Find W
Take arc sin of both sides
Using a calculator
P(Y) = 5/6
Since they are independent, P(X & Y) = P(Y) * P(X)
Therefore:
1/3 = 5/6 * P(X) Change 1/3 to 2/6, then multiply both sides by 6/5
2/6 * 6/5 = P(X)
2/5 = P(X)
Written as a decimal, P(X) = .40
Answer:
A: 50
Step-by-step explanation:
because its 50$ for setup and 30 each hour for 5 hours. so 30x5=150 +50 = 200÷ nelson and 3 friends =50$ each
Lets x is the 1st consecutive even integers
x +2 :the 2nd consecutive even integers
x +4: the 3rd consecutive even integers
So sum of all 3 equals -78 then
x + (x+2) + (x+4) = -78
x + x + 2 + x + 4 = -78
Simplify
3x + 6 = -78
Subtract (-6) to both sides
3x +6 -6 = -78 - 6
Simplify
3x = -84
Divided both sides by 3
3x/3 = -84/3
x = -28
x + 2 = -28 + 2 = -26
x +4 = - 28 + 4 = -24
Double check: -28 + -26 + -24 = -78
So the three consecutive even integers are: -24, -26, -28
The smallest integer would be -28
Answer:
2/5
Step-by-step explanation:
First, we need to find the slope of line a. To do this, we subtract the two y values and then the two x values and divide these two differences.
10-5=5
6-8=-2
5/-2= -5/2
A perpendicular line's slope will always be equal to the negative reciprocal of the intersects. So, we just flip the numerator and denominator and then add a negative to our first slope to get the slope of line b.
-2/5
--2/5
2/5
Have a wonderful day! :D