Given that mean=56.1 and standard deviation=8.2, P(x>67.5) will be found as follows:
The z-score is given by:
z=(x-μ)/σ
thus the z-score will be given by:
z=(67.5-56.1)/8.2
z=11.4/8.2
z=1.39
thus
P(z=1.39)=0.9177
thus:
P(x>67.5)=1-P(z>0.9177)
=1-0.9177
=0.0823
Answer: A. 0.0823
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m<ABD = 52 Given
BC bisects <ABD Given
m<ABC = m<CBD Definition of angle bisector.
m<ABC +m<CBD = m<ABD Angle addition postulate.
m<ABC +m<CBD = 52 Substitution
m<ABC + m<ABC= 52 Substitution
2m<ABC = 52 Combining like angles
m<ABC = 26 Division property of equality.
Answer:
Initial Fee is $2.
Step-by-step explanation:
Given:
Stops Price (dollars)
3 6.50
7 12.50
11 18.50
Also Given:
The price of a train ticket consists of an initial fee plus a constant fee per stop.
So let the Cost of initial fee be 'x'.
Also Let the Cost of Constant fee be 'y'.
Now Equation can framed as;

Now According to table;
Number of stops = 3
Price = 6.50
So equation can be framed as;

Also According to table;
Number of stops = 7
Price = 12.50
So equation can be framed as;

Now Subtracting equation 1 from equation 2 we get;

Substituting the value of y in equation 1 we get;

Hence Initial Fee is $2.