Sample QnA to Preliminary Exam
1 answer:
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The mAngleVSR m Angle VSR is mathematically given as
= 80°
This is further explained below.
<h3>What is mAngleVSR?</h3>Generally, Draw two lines: one that connects the points R, S, and U, and another that connects the points V, S, and T. (see attached diagram). At point S, these lines come together to create four angles, which are denoted by the letters RSV, VSU, UST, and TSR respectively.
The angles VSU and RST are both considered to be vertical angles, as are the angles RSV and UST. Vertical angles are equivalent, therefore
m∠VSU = m∠RST = 100°
m∠RSV = m∠UST
In conclusion, Angles RSV and VSU are considered supplementary angles since their sum is equal to 180 degrees. Som
m∠RSV = 180° - m∠VSU =180° - 100° = 80°
Angle RSV is the same as angle VSR (the name of the angle may be read either from the right to the left or from the left to the right).
Read more about angles
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Answer:
a) 0.0082
b) 0.9987
c) 0.9192
d) 0.5000
e) 1
Step-by-step explanation:
The question is concerned with the mean of a sample.
From the central limit theorem we have the formula:
a)
The area to the left of z=2.40 is 0.9918
The area to the right of z=2.40 is 1-0.9918=0.0082
b)
The area to the left of z=3.00 is 0.9987
c) The z-value of 1200 is 0
The area to the left of 0 is 0.5
The area to the left of z=1.40 is 0.9192
The probability that the sample mean is between 1200 and 1214 is
d) From c) the probability that the sample mean will be greater than 1200 is 1-0.5000=0.5000
e)
The area to the left of z=-112.65 is 0.
The area to the right of z=-112.65 is 1-0=1