Answer:
(x+1)² + (y-1)² = 1 + 9/16
Answer:
0.8594
Step-by-step explanation:
Let a denote the event of forgetting to shut off machine and b be the event of being defective.
-A foreman forgets to shut off machine 55% of the time.
-If he forgets, 15% of molds are defective.
-If he does not, 3% of molds are defective.
#The probability that he forgot to shut off the machine is calculated as:

P(a and ~b)=0.55(1-0.15)=0.4675
P(~a and b) = (1-0.55)*0.03=0.0135
P(~a and ~b) = (1-0.55)*(1-0.03)=0.4365
#Conditional probability is defined as:

Hence, the probability that the foreman forgot to shut off the machine the previous night is 0.8594
Answer: B
Step-by-step explanation:
First, you have to find how many friends are playing. This can be found in the equation 5-3. Now you multiply by six to find the cost. If you chose C, that would be incorrect, because the () you would mltilply first (30) and then subtract 3 (27). You can also think of it as finding the cost of how much all of them want to play by using the distributive property, leaving you with 30 - 18, and subtract from there to get 12.
Answer:
B
Step-by-step explanation:
the longest side of a triangle is opposite the largest angle.
∠ Y = 180° - 60° - 43° = 180° - 103° = 77°
then ∠ Y is the largest angle in the triangle , so
side opposite ∠ Y is the longest , that is XZ
The Answer is <span>(x−2)</span><span>(3x+5<span>)</span></span>