0.75 is greater the 0.0075
Given:
The piecewise function is
To find:
The range of given piecewise function.
Solution:
Range is the set of output values.
Both functions 
and 
as linear functions.
Starting value of is at x=-4 and end value is at x=3.
Starting value: 
End value: 
Starting value of is at x=3 and end value is at x=6.
Starting value: 
End value: 
Least range value is 0 at x=-4 and 0 is included in the range because -4 is included in the domain.
Largest range value is 11 at x=6 and 11 is not included in the range because 6 is not included in the domain.
So, the range of the given piecewise function is [0,11).
Therefore, the correct option is A.
Answer:
C) 1050π cm²
Step-by-step explanation:
Surface area of a cylinder = 2πrh + 2πr²
radius, r = 3.5cm
Height, h = 4 cm
Surface area of a cylinder = 2πrh + 2πr²
= 2 * π * 3.5 * 4 + 2 * π * 3.5²
= 28π + 2π * 12.25
= 28π + 24.5π
= 52.5π cm²
Surface area of a cylinder = 52.5π cm
There are 20 bars of soap
Total plastic Emily needs for 20 bars of soap = surface area of each soap × 20
= 52.5π cm² × 20
= 1,050π cm²
Answer:
a) If the spinner is fair, then each color must have the same probability, this means that the probability for each color is the number of times that the color (in this case blue) is in the spinner divided the total amount of colors in the spinner, then the theoretical probability for each color is:
Pt = 1/5 = 0.20
The experimental probability can be found by dividing the number of times that the spinner landed on a given color (in this case for blue we have 15 times) divided the total number of spins ( 50)
Pe = 15/50 = 0.30
B) As we increment the number of spins, we should see that the experimental probability gets closer to the theoretical probability.
