P(a | b) = p(a ∩ b)/p(b) . . . . . a definition worth remembering
0.2 = p(a ∩ b)/0.5 . . . . . . . . fill in the given values
0.2*0.5 = 0.1 = p(a ∩ b)
p(a ∩ b) = 0.1
Answer:
A. neither a relation nor a function
Step-by-step explanation:
A relation between two sets is a collection of ordered pairs containing one object from each set.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Quadratic equations are not functions. Quadratic equations are not a function because they touch two points that is on the same y-axis. Furthermore, if they are two points that have the same x axis, then it is not a function either. It doesn't have a relation either because there are two outputs that are the same by the x axis for 3x^2 - 9x + 20. Those are x = 1 and x = 2. For proof, you can plug both of them in.
3(1)^2 - 9(1) + 20 = 14
3(2)^2 - 9(2)+ 20 = 14
Both answers have 14 as the y-axis/output. This proves that this quadratic equation is not a relation either. Therefore, this equation is neither a relation nor a function.
Answer:
m = 15/4
Step-by-step explanation:
slope (m) = (y₂ - y₁)/(x₂ - x₁)
Let:
(x₁ , y₁) = (-5 , -10)
(x₂ , y₂) = (-1 , 5)
Plug in the corresponding numbers to the corresponding variables:
m = (5 - (-10))/(-1 - (-5))
m = (5 + 10)/(-1 + 5)
m = (15)/(4)
m = 15/4 is your answer.
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Answer: the answer is 8 rows
Step-by-step explanation: If there are 112 students and they need to be put in rows of 14 you must divide 112 by 14 to get the amount of rows.
