Answer:
see below
Step-by-step explanation:
First line:
y = mx+b where m is the slope and b is the y intercept
y = 2x + 10
Second line
y = mx+b
y = 3x+0 since there are no barrels filled on this line when they flip the switch
Setting the two equations equal
2x+10 = 3x
Subtract 2x from each side
2x+10-2x= 3x-2x
10 = x
Each line will have filled 10 barrels when they numbers are equal.
Answer:
<5 and <8 are vertical angles
so, their measures are congruent
Step-by-step explanation:
Answer:
17 years 2months
Step-by-step explanation:
Beacause the last girl is young
Answer:
Step-by-step explanation:
P(D/M₁) = .04 ( probability of defect from a 1 st machine )
P(D/M₂) = .06
P(D/M₃) = .01
P( M₁ )= .3 ( probability of manufacture from 1 st machine )
P(M₂) = .2
P(M₃)= .5
P( M₁/D) ( Probability of manufacture from 1 st machine , given it is defective )
= P( M₁ )xP(D/M₁) / [P( M₁ )xP(D/M₁) +P( M₂ )xP(D/M₂)+P( M₃ )xP(D/M₃)]
= .3 x .06 / .3 x .06 + .2 x .06 + .5 x .01
= .018 / .035
= 18/35
