Simplify:
−3=12y−5(2y−7)
−3=12y+(−5)(2y)+(−5)(−7)(Distribute)
−3=12y+−10y+35
−3=(12y+−10y)+(35)(Combine Like Terms)
−3=2y+35
Flip the equation.
2y+35=−3
Subtract 35 from both sides.
2y+35−35=−3−35
2y=−38
Divide both sides by 2.
2y/2=−38/2
y=−19
P(7,6), Q(1,6), R(4,2)
We have PQ parallel to the x axis. We'll call that the base,
b = 7 - 1 = 6
The altitude is then the y difference h = 6 - 2 = 4
The area is 
Answer: 12 square units
In general we can use the shoelace formula for the area of any polygon given coordinates. We write the points like this:
(7,6), (1,6), (4,2)
(1,6), (4,2), (7,6)
The area is then half the absolute value of the sum of the cross products:
Answer:
0.6495
Step-by-step explanation:
This is question based on conditional probability
The probability that a customer plans to make a purchase = 0.32.
The probability that a customer plans not to make a purchase = 1 - 0.32
= 0.68
The probability of responding to an advertisement given that the customer plans to make a purchase = 0.63
The probability of responding to an advertisement given that a person does not plan to make a purchase = 0.16.
Given that a person responds to the advertisement, what is the probability that they plan to make a purchase is calculated as:
0.32 × 0.63/(0.32 × 0.63) + (0.16 × 0.68)
= 0.2016/ 0.2016 + 0.1088
= 0.2016/0.3104
= 0.6494845361
Approximately = 0.6495
