Answer:
31.5 days
Step-by-step explanation:
We.solve using z score formula
z-score is is z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
The 5th percentile z score = -1.645
Mean = 66
Standard deviation = 21
Hence:
-1.645 = x - 66/21
-1.645 × 21 = x - 66
-34.545 = x - 66
-34.545 + 66 = x
x = 31.455 days
Approximately to the nearest round integer
= 31.5 days
Therefore, driver use a commuter rail line 31.5 days annually to be in the top 5% of rail users
Answer:
The mean of of the sample mean of these quality checks is 10 and the standard deviation is 0.7155.
Step-by-step explanation:
To solve this question, we use the central limit theorem.
The Central Limit Theorem estabilishes that, for a random variable X, with mean
and standard deviation
, the sample means with size n can be approximated to a normal distribution with mean
and standard deviation 
In this problem, we have that:

The mean of of the sample mean of these quality checks is 10 and the standard deviation is 0.7155.
It is given that area( Δ ab c) =6 square units.
Also ab║d e
⇒b d =4 b c
I have depicted picture below.
Consider Δ cde in which points a and b are in the interior such that ab║de.
So, as you know that if in a triangle line joining two points is parallel to third side then the two sides are proportional.i.e
⇒ca/ae =cb / bd
Also, ∠ c is common.
∴Δcab is similar to Δ cde.
As we know if ratio of areas of two similar triangles is square of their corresponding sides.
=![\frac{Ar(Δcab)}{Ar(Δcde)}=[\frac{cb}{bd}]^2](https://tex.z-dn.net/?f=%5Cfrac%7BAr%28%CE%94cab%29%7D%7BAr%28%CE%94cde%29%7D%3D%5B%5Cfrac%7Bcb%7D%7Bbd%7D%5D%5E2)
⇒6/Δcde =1/4
⇒Ar (Δ cde)=6×4
Ar (Δ cde) =24 square centimeter
Answer:
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Step-by-step explanation: