You want to put this in the form (x+b)^2 + c
To do this take half of the coefficient of b from the ordinal form which is 6/2=3 as use this as your new b
This give you (x+3)^2.
If you foil this out you get x^2 +6x +9 so you have added 9 to the original expression so now all you need to do is subtract 9 to keep things balanced
The final expression then is (x+3)^2 -9
<u> So c= -9</u>
Answer:
a. 55.56%
b. 44.44%
c. 3.33%
d. 33.33%
Step-by-step explanation:
total supply = 180
a. In the first factory the total number obtained = 100
probability that the chosen part is from the first
= 100/180
= 0.5556
= 55.56%
b. In the second factory total = 80
probability that the chosen part is from the second
= 80/180
= 0.4444
= 44.44%
c. probability that part chosen at random from 180 is defective
= 2% * 0.5556 + 5% * 0.4444
= 0.02*0.5556 + 0.05*0.4444
= 0.011112 + 0.0222
= 0.03331
= 3.33%
d. probability it came rom the first factory if it is defective
=
=
= 0.33357
= 33.33%
Area of the rectangle = L X W
Area of the rectangle = 4 X 2
Area of the rectangle = 8 inches
If the drawing is 1/5 of the actual air conditioning unit, then you multiply the reciprocal which is 5 times the area of the drawing. When you want to enlarge it has to be a whole number. When you want to reduce you multiply by a fraction.
So 8 inches X 5 = 40 inches is the actual area of the unit.
When x=1, y is 3
When x=2, y is 1
When x=3, y is -1
When x=4, y is -3
When x=5, y is -5
I think it is 120
The total of the shape is 180 so it telling us to take away 1/3 of it so 60 away from 180 is 120