Line WY is dilated to create line W'Y' using point Q as the center of dilation. What is the scale factor? Given that QY' = 4.125
2 answers:
So, WY = k × W'Y'
Line WY is Dilated to create line W'Y'.
Pre image = WY
Image = W'Y'
WY = k× W'Y', where k is amount of dilation done .
If WY > W'Y' , then k<1.
And , WY < W'Y' then k>1.
Q is center of Dilation.
→W'Y' =2 × QY' = 2 ×4.125 = 8.250
WY = k × W'Y' where k is amount of dilation.
→2 × QY = k × 2×QY'
→ QY = k× 4.125= 4.125 k
→ k(Factor Dilation) =
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Answer:
The probability that the service desk will have at least 100 customers with returns or exchanges on a randomly selected day is P=0.78.
Step-by-step explanation:
With the weekly average we can estimate the daily average for customers, assuming 7 days a week:
We can model this situation with a Poisson distribution, with parameter λ=108. But because the number of events is large, we use the normal aproximation:
Then we can calculate the z value for x=100:
Now we calculate the probability of x>100 as:
The probability that the service desk will have at least 100 customers with returns or exchanges on a randomly selected day is P=0.78.