Answer:

Step-by-step explanation:

Answer:
a

b

Step-by-step explanation:
From the question we are told that
The population proportion is
Considering question a
The sample size is 
Generally the standard deviation of this sampling distribution is
=>
=>
The sample proportion of cans that are recycled is

=> 
Generally the probability that 300 or more will be recycled is mathematically represented as


From the z table the area under the normal curve to the left corresponding to 1.591 is

=> 
Considering question b
Generally the lower limit of sample proportion of cans that are recycled is

=> 
Generally the upper limit of sample proportion of cans that are recycled is

=> 
Generally probability that between 260 and 300 will be recycled is mathematically represented as

=> 
=> 
From the z table the area under the normal curve to the left corresponding to 1.136 and -3.55 is

and

So

=> 
Answer:
Yes it does matter
Step-by-step explanation:
Answer:
Part 1) 
Part 2) 
Part 3) 
Part 4) 
Part 5) 
Part 6) 
Step-by-step explanation:
Part 1) we know that
The shaded region is equal to the area of the complete rectangle minus the area of the interior rectangle
The area of rectangle is equal to

where
b is the base of rectangle
h is the height of rectangle
so



Part 2) we know that
The shaded region is equal to the area of the complete rectangle minus the area of the interior square
The area of square is equal to

where
b is the length side of the square
so



Part 3) we know that
The area of the shaded region is equal to the area of four rectangles plus the area of one square
so



Part 4) we know that
The shaded region is equal to the area of the complete square minus the area of the interior square
so



Part 5) we know that
The area of the shaded region is equal to the area of triangle minus the area of rectangle
The area of triangle is equal to

where
b is the base of triangle
h is the height of triangle
so



Part 6) we know that
The area of the shaded region is equal to the area of the circle minus the area of rectangle
The area of the circle is equal to

where
r is the radius of the circle
so


Answer: Sasha
Step-by-step explanation:
carlos- 54 divided by 25 equals 2.25 dollars for each gallon
sasha- 31.25 divided by 15 equals 2.083333(3 repeats)
They are both really close on price, but sasha's is cheaper