If the probability that all students participate in after school sports is 53 percent and 27% is the probability that a student will participate in BOTH after school sports and music lessons. The sum of the two probabilities is 80%. The total sum of the percentage probability should always be 100%. Therefore, the probability that a student participates in music lessons is 100 - 80, 20%.
Answer:
a)
, b)
,
, c)
, d) 
Step-by-step explanation:
a) Let derive the function:

is undefined when denominator equates to zero. The critical point is:

b)
when numerator equates to zero. That is:




This equation shows two critical points:
, 
c) The critical points found in point b) and the existence of a discontinuity in point a) lead to the conclusion of the existence local minima and maxima. By plotting the function, it is evident that
corresponds to a local maximum. (See Attachment)
d) By plotting the function, it is evident that
corresponds to a local minimum. (See Attachment)
IQR= Q3-Q1
Airport 1
Q3 is 8
Q1 is 2
8-2= 6
Airport 1 IQR is 6
Airport 2
Q3 is 8
Q1 is 3
8-3= 5
Airport 2 IQR Is 5
Not sure, but the areas of a triangle is BH/2 so the dimensions should be 8 and 6 then 10.
8 x 6 = 48
48/2 = 24
Maybe that can help with the equation
First, find the total area of pizza. The area of a rectangle is length times width.
Area = 21 x 36 = 756 sq. inches
Now, we must divide the total area with the largest square possible without any excess. So, we equate the area of the pizza to area of square:
A = s² = 756
s = 6 √21
Hence, the largest piece square possible has a side of 6 inches. Then, we divide the total area of the pizza by the area of each square piece to find the number of pieces;
756/6² = 21
Thus, there would be 21 pieces of 6-in square piece of pizza.