9514 1404 393
Answer:
C. G(x) = (1/3)√x
Step-by-step explanation:
The vertical scale factor multiplies the function value. When the scale factor is 1/3 (called "compression by a factor of 1/3"), then the new function is ...
g(x) = 1/3·f(x)
g(x) = 1/3√x
You just multiple the numbers and get 13.167
It is greater than the original because how much it is increasing (30%) is greater than how much it is decreasing (15%)
Answer:
0.10512
Step-by-step explanation:
Given the following :
Mean number of calls(μ) in 2 hours = 14
2 hours = 60 * 2 = 120 minutes
Average number of calls in 45 minutes :
= (45 / 120) * 14
= 0.375 * 14
= 5.25
Now find P( x ≤ 2) = p(x = 0) + p( x = 1) + p(x = 2)
Using the poisson probability formula:
P(x, μ) = [(e^-μ) * (μ^x)] / x!
Where :
e = euler's constant
μ = 5.25
x = 0, 1, 2
Using the online poisson probability calculator :
P(x, 5.25) = P( x ≤ 2) = p(x = 0) + p(x = 1) + p(x = 2)
P(x, 5.25) = P( x ≤ 2) = 0.00525 + 0.02755 + 0.07232 = 0.10512
