Answer:
Step-by-step explanation:
3(x-3)= -9+3x
3x-9=-9+3x
IMS
Domain is all real numbers
answer is B
Hope it helps
Events
A = widget was produced by the old machine
B = widget was produced by the new machine.
D = widget was defective
Recall definition of conditional probability
P(X|Y)=P(X n Y)/P(Y) [ n represents set intersection operator ]
By the law of total probability,
P(A)=1/(1+3)=1/4
P(B)=3/(1+3)=3/4
Given:
Defective rate of new machine
P(D|B)=P(D n B)/P(B)=0.08 => P(D n B)=0.08*0.75=0.0600
Since P(B)=P(D n B)+P(~D n B)=0.75, this means that
P(~D n B)=0.75-0.0600 = 0.69
Proceed to calculate probability of non-defective widget given it is produced by the new machine:
P(~D|B) = P(~D n B)/P(B) = 0.69 / 0.75 = 0.92
Conclusion
The probability that the widget is not defective given that it was produced by the new machine is 0.92.
Answer:
Step 1 The two sides we know are Opposite (300) and Adjacent (400).
Step 2 SOHCAHTOA tells us we must use Tangent.
Step 3 Calculate Opposite/Adjacent = 300/400 = 0.75.
Step 4 Find the angle from your calculator using tan-1
Answer:
t=-8
Step-by-step explanation:
-3+-5-2t = 8
-8 -2t = 8
t = -8