Answer:

Step-by-step explanation:
Given



Required
Determine 
From laws of probability, we have:

Substitute in values


Hence,
<em> is calculated to be 0.557</em>
Answer:
(2,6)
Step-by-step explanation:
I mean... in order to try each one you need to try it atleast once so.. 1 might be your answer
Answer:
x = 16
y = 20
Step-by-step explanation:
the left part of the triangle can be solved first as it already has one angle and 1 side, we use trigonometry for this.
since we have 2 sides and 1 angle, to find the third side length we use the pythagoras theorem. a² + b² = c²
; 9² + 12² = c²
; 225 = c²
;√225 = c
; 15 = c
since we have all the lengths of the triangle, we can find out the angle opposite to the side length '9',
;
;
x 9 = Sinx
36.86 = x
now, we look at the triangle as a whole, the top angle being 90 degrees, we know that we have 36.86.
; 90 - 36.86 = 53.13

;
x Sin 90 = 20
y = 20
again, since we have 2 sides of a right angled triangle we use a² + b² = c²
we arrange this formula since we have the hypotenuse
; 20² - 12² = 256
; √256 = x
; 16 = x
Answer:
y = -2x - 5
Step-by-step explanation:
The given slope, or m, is -2 and the given y-intercept, or b, is -5.
The y-intercept equation is y = mx + b, so by knowing this equation all you need to do is plug in the given slope and y-intercept
y = -2x - 5