Answer:
y = -1/2 ( x − 4 )^2 + 8
Step-by-step explanation:
First find the vertex form
y = a ( x − h )^ 2 + k where ( h,k) is the vertex
The vertex is ( 4,8)
y = a ( x − 4 )^2 + 8
Now we need to determine a
Pick a point on the graph (0,0)
and substitute this point into the equation
0 = a ( 0 − 4 )^2 + 8
0 = a (16) +8
-8 = 16a
-8/16 =a
-1/2
y = -1/2 ( x − 4 )^2 + 8
Answer:
a.P<x<9.85 orx>10.15)=0.3174, Total defects=317.4
b.p=0.0026,total defects=2.6
c.Less of the items produced will be classified as defects.
Step-by-step explanation:
a.The standard score,z, is esentially x reduced by process mean then divided my process standard deviation.

Total defects=Production*Probability
=0.3174*1000

b. 
therefore:-

Defects=Probability*Production
=0.0026*1000
=2.6
c.Reducing process variation results in a significant reduction in the number of unit defects.
Answer:
M<1 80 by the corresponding angles postulate
Step-by-step explanation:
Answer:
x = √2, y = 2
Step-by-step explanation:
You know that the sides of an isosceles right triangle are equal in length, so ...
x = √2 . . . . same as the given side
You also know that the hypotenuse is √2 times as long as one side, so ...
y = √2·√2
y = 2
3/4 all over 2/3 equal to x/1 cup
So 3/4 / 2/3 =x/1 now you can cross multiple so 3/4*1=3/4 then 2/3*x=2x/3 then you can solve for x.
3/4=2x/3 multiple 3 to both sides so the 3 cancels with the denominator of 2x
9/4=2x then divide by 2 to both sides to get x alone
9/8=x
1.125=x
So for every 1 cup of white sugar you need 1.125 cups of brown sugar.