Choose the correct simplification of (3x3 + 2x2 − 5x) − (8x3 − 2x2)
2 answers:
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Answer: Option C.
Step-by-step explanation:
You need to find the distance AB with the formula for calculate the distance between two points:
Then, substituting the coordinates of the points A(1,1) and B(4,1), you get:
You know that A'B'=6, then the scale factor of dilation can be calculated with:
Substituting values, you get:
This matches with the option C.
Answer:
40%
Step-by-step explanation:
From the given statements:
The probability that it rains on Saturday is 25%.
P(Sunday)=25%=0.25
Given that it rains on Saturday, the probability that it rains on Sunday is 50%.
P(Sunday|Saturday)=50%=0.5
Given that it does not rain on Saturday, the probability that it rains on Sunday is 25%.
P(Sunday|No Rain on Saturday)=25%=0.25
We are to determine the probability that it rained on Saturday given that it rained on Sunday, P(Saturday|Sunday).
P(No rain on Saturday)=1-P(Saturday)=1-0.25=0.75
Using Bayes Theorem for conditional probability:
P(Saturday|Sunday)=
=
=0.4
There is a 40% probability that it rained on Saturday given that it rains on Sunday.