Assume the random variable X is normally distributed with mean muequals50 and standard deviation sigmaequals7. Find the 87 th pe
rcentile.
1 answer:
Answer:
57.885
Step-by-step explanation:
For such calculations a probability calculator is very helpful. The one in the attachment shows the 87th percentile to be 57.885.
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A table of the standard normal distribution will tell you the 87th percentile corresponds to a z-value of 1.12639. Then the X value is ...
X = Zσ +μ = 1.12639(7) +50 = 57.885
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Answer:
D. 8
Step-by-step explanation:
Draw segment CQ which will be perpendicular to tangent PR.
So, triangle CQR will be right angled triangle right angle at Q.
Let radius of the circle be r.
Therefore,
CQ = CS = r
By Pythagoras Theorem:
The first four terms of the series probably refer to the first four partial sums.
which you can compute either by adding one term at a time, or using the well-known formula,
(I can provide a link to a derivation I gave in a nearly identical question in the comments)
The series converges as
if and only if 
, which is certainly the case here, since 
.
Extrapolating from the formula above, the sum of the convergent series is
so the sum for this series is
.
which you can compute either by adding one term at a time, or using the well-known formula,
(I can provide a link to a derivation I gave in a nearly identical question in the comments)
The series converges as
Extrapolating from the formula above, the sum of the convergent series is
so the sum for this series is