Answer:
Step-by-step explanation:
Given that a cola-dispensing machine is set to dispense a mean of 2.02 liters into a bottle labeled 2 liters.
Std deviation =0.015 litres
X- litres contained in a bottle is N(2.02, 0.15)
Z score is obtained as 
a) probability a bottle will contain between 2.00 and 2.03 liters
=P(2<x<2.03) = P(-1.33<Z<2)
= 0.4082+0.4772
=0.8854
b) P(X<2) = P(Z<-1.33) =0.5-0.4082 = 0.0918
c) 2% of containers
|z|<0.11
X lies between 0.6883 and 3.352 l
Answer:
1. line a and c and parallel. line b is perpendicular with line a and c. 2. line b and c and parallel. line a is perpendicular to lines b and c. 3. y= -3x + 3 4. y=(5/3)x - 9
Step-by-step explanation:
To find parallel and perpendicular, make the slope opposite and find b by plugging in the points. Parallel is the same slope.
3/4-(x+1/8)=5/16
3/4-x-1/8=5/16
3/4-1/8-5/16=x
Common denominator: 16
x=(4×3-2×1-5)/16=(12-2-5)/16=5/16
Answer: x=5/16
Answer:
9/4
Step-by-step explanation:
1. 
2. 
3. 
Therefore, the slope is 9/4.
Answer:
When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.
