Graph each piecewise function. Then identify the properties.
1 answer:
Answer:
Domain: (-∞, 0] U (0, ∞): All real numbers.
Range: (-∞, ∞)
Step-by-step explanation:
This function is composed of two polynomial functions, a quadratic whose domain is all real numbers and a negative slope whose domain is all real numbers.
Observe in the attached graph that the function is continuous for the whole domain, it does not have any jump. In addition, the parabolic function comes from ∞, then it has a minimum value in y = 1 it grows up to y = 4. Finally it joins with the equation of the line and it extends to -∞.
Then we can conclude that for this piecewise function:
Domain: (-∞, 0] U (0, ∞): All real numbers.
Range: (-∞, ∞)
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Answer:
672.7436 units of the sale item should the store stock in order to have at most a 1 percent chance of running short of the item on the day of the sale
Step-by-step explanation:
No. of customers pass the display on the day of sale = 1462
Proportion of people will purchase if pass such a special display = 0.43
Mean = E(X)=np
E(X)=
E(X)=628.66
Standard deviation =
Standard deviation =
Now we are supposed to find how many units of the sale item should the store stock in order to have at most a 1 percent chance of running short of the item on the day of the sale
P(X<x)=0.01
Using z table
Hence 672.7436 units of the sale item should the store stock in order to have at most a 1 percent chance of running short of the item on the day of the sale