Triangle PQR is transformed to the similar figure P'Q'R'. What is the scale factor of dilation? 1/2,1/3,1/4,1/5
1 answer:
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Answer:
Step-by-step explanation:
The graph shown is f(x)=y=|x|
The required graph is g(x) = |x|-3 = f(x) -3
In general, the graph of f(x)-3 is 3 units below f(x), and has the same shape.
See attached graph. y=f(x)=|x| in blue, f(x)-3 = |x|-3 in red.
Answer: (1) 42%, (2) 60%, (3) 75%.
Step-by-step explanation: The calculations are as follows
(1) Given that
P(A) = 0.70, P(B) = 0.25 and P(A and B) = 0.30 ≠ 0. So, the conditional probability of even B when event A has already occured is given by
Therefore, the answer is 42%. Also, since the intersection of A and B is not a null set, so these events are dependent events.
(2) Given that
P(A) = 0.40, P(B) = 0.60 and P(A and B) = 0.24 ≠ 0. So, the conditional probability of even B when event A has already occured is given by
Therefore, the answer is 60%. Also, since the intersection of A and B is not a null set, so these events are dependent events.
(3) Given that
P(A) = 0.33, P(B) = 0.50 and P(A and B) = 0.25 ≠ 0. So, the conditional probability of even B when event A has already occured is given by
Therefore, the answer is 75%. Also, since the intersection of A and B is not a null set, so these events are dependent events.
Thus, the answers are 42%, 602% and 75%.