Answer:
1/2
Step-by-step explanation:
The formula that relates two independent events is provided as below:
P(A) x P(B) = P(A⋂B)
=> P(A) x (1/3) = 1/6
=> P(A) = (1/6) x 3
=> P(A) = 3/6 = 1/2
=> Option D is correct
Hope this helps!
In this item we are given with the equation, 2x - y = 3. The equation contains two variables, x and y. We assume in this item that the value of x is independent of the value of y; however, y values depends on the given values of x. In parametric form, the equation would take the form,
f(x) = y = ax + b
where a is the numerical coefficient of x and b is constant. Transforming the given equation to this form,
f(x) = y = 2x - 3
Answer:
- Senators: 90
- Representatives: 430
Step-by-step explanation:
Let s represent the number of Senators in the Congress. Then the number of Representatives is (5s-20) and the total number of members is ...
s + (5s -20) = 520
6s = 540 . . . . . . . . . add 20, simplify
s = 90 . . . . . . . . . . . divide by 6
The number of Senators is 90; the number of Representatives is 430.
_____
You can find the number of Representatives either as 520 -90 = 430 or as 5·90 -20 = 430.
-3x + y - 2z = 10 |* -1
3x - y +2z = -10
5x -2y -2z = 12
--------------------------- I add these equations term by term
8x - 3y = 2
-3x + y - 2z =10 ⇒ -3x + y - 2z =10
x -y +z = 23 | *2 2x - 2y + 2z = 46
----------------------------- I add these eq.
-x -y = 56
8x - 3y = 2
-x -y = 56
this is the system after i reduce it ( it has only two variables x and y)
Answer:
Step-by-step explanation:
Sum of interior angles of polygon = (n -2) * 180
Sum of interior angles of hexagon = (6-2)*180 = 4* 180 = 720
4x + 5x +6x +7x + 8x +9x = 180
39x = 180
x = 180/39
x=4.61
Smallest angle = 4x = 4*4.61 = 18.44
