Answer:
a: given
b: definition of congruent
c: definition of bisect
Step-by-step explanation:
just took the assignment
Answer:
6.6
Step-by-step explanation:
The conditional probability formula is P(X|Y) = P(X and Y)/P(Y)
<h3>How to determine the formula?</h3>
The conditional formula is represented as:
P(A|B) = P(A and B)/P(B)
In this case:
A = X
B = Y
So, we have:
P(X|Y) = P(X and Y)/P(Y)
Hence, the conditional probability formula is P(X|Y) = P(X and Y)/P(Y)
Read more about probability at:
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Answer:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Let X the random variable who represent the exam scores for the population, and for this case we know the distribution for X is given by:
Where and
And let represent the sample mean, the distribution for the sample mean is given by:
What is the probability that a randomly selected score will be between 69 and 77?
For this case we can use the z score formula given by:
And that correspond with the 35.75% of the data.
Ok, so find circumference
arc/circumferece=xrad/2pirad
c=2pir
c=2pi6
c=12pi
arc=5.4cm
5.4/12pi=x/2pi
tims both sides by 2pi
5.4/6=x
0.9=x
0.9 radians