Answer:
Step-by-step explanation:
Let X be the solvent present
Then given that the manufacturer of industrial solvent guarantees its customers that each drum of solvent they ship out contains at least 100 lbs of solvent.
X is N(101.3, 3.68)
a) 
Probability = 0.6368
b)
means Z score = 1.88
X=100+1.88(s) =101.3
s=1.3/1.88=0.6914
Answer:
48 pieces
Step-by-step explanation:
20÷5/12=20*12/5=240/5=48
Answer:
16
Step-by-step explanation:
The distance is given by
d = sqrt( (x2-x1) ^2 + ( y2-y1) ^2)
Since the x values are the same
d = sqrt( ( y2-y1) ^2)
d = sqrt( (( -6 - 10)^2))
d = sqrt((-16) ^2)
d = 16
We can also just find the number of squares between the points since the x value is the same.
10 - -6
10+6
16
We are given 3 equations. Using these equations we can find f(h(2)).
h(x)=7x-5
h(2)=7(2)-5
h(2)=14-5
h(2)=9
f(x)=x^2-7
f(h(2))=(7x-5)^2-7
we know the answer for h(2) by now, so we can substitute for that.
f(9)=9^2-7
f(9)=81-7
f(9)=74
so f(h(2))=74