Using the point-slope formula (picture)
1 answer:
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Answer:
x = 4
Step-by-step explanation:
Given y varies inversely as x then the equation relating them is
y = ← k is the constant of variation
To find k use the condition y = 8 when x = 10
k = yx = 8 × 10 = 80
y = ← equation of variation
When y = 4, then
4 = ( multiply both sides by x )
4x = 80 ( divide both sides by 4 )
x = 20
The value of x is 6 cm.
Step-by-step explanation:
Given,
Area of rectangle = 56 cm
Length of rectangle = x+2
Width of rectangle = 2x-5
Area = Length * Width
Factorizing
Either,
2x+11 = 0 => 2x=-11
Or,
x-6=0 => x=6
As x is added to dimension, it cannot be negative.
Therefore,
The value of x is 6 cm.
Keywords: rectangle, factorization
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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.