In the equation y=mx+b, 'm' is the slope of the line and 'b' is the y-intercept.
First, you should find the slope of the line. To do this, use the equation M=y2-y1/x2-x1. Using the two given points (3,6) and (8,4), you can solve for M.
M=4-6/8-3
M=-2/5 (-0.4 in decimal form)
Now, your equation is y=-0.4x+b
Next you must solve for b to find the y-intercept. You can do this by subbing one of the given points in for x and y.
Using the point (3,6):
y=-0.4x+b
6=-0.4(3)+b
6=-1.2+b
Isolate b:
6+1.2=b
b=7.2
And now you have the equation of the line!
y=-0.4x+7.2 (IN FRACTION FORM: y=-2/5x+36/5)
Solution :
Colored marble Prize
Red ---- 10 20
Blue --- 38 10
Green --- 26 5
P(red) = 10/74 = 5/37
P(blue) = 38/74 = 19/37
P( green) = 26/74 = 13/37
Therefore,
X → Red Blue Green
P(X) 5/37 19/37 13/37
The expected values are :

= -4.189
Thus it is not profitable to play the game.
Answer:
x=56
Step-by-step explanation:
72+89+99+3x+2x=540
use the Pythagoras theorem method
a squared plus b squared equals c square
Answer:
see the explanation
Step-by-step explanation:
we know that
In a Rhombus opposite angles are congruent and consecutive angles are supplementary
The diagonals are perpendicular and bisect the angles
so
step 1
Find the measure of angle 4
we know that
--->by the diagonals bisect the angles
step 2
Find the measure of angle 1
we know that
----> by opposite angles are congruent
step 3
Find the measure of angle 2
we know that
----> by the diagonals bisect the angles
so

step 4
Find the measure of angle 3
we know that
----> by the diagonals are perpendicular
step 5
Find the measure of angle 5
we know that
----> by complementary angles

step 6
Find the measure of angle 6
we know that
----> by the diagonals bisect the angles
