Answer:
The answer is "0.07404893".
Step-by-step explanation:
Applying the binomial distribution:
Calculating the probability for not enough seats:



Answer: 50
7
Step-by-step explanation:
Hello! Draw a hundred (I know, it's tedious!) circles. Make a giant bracket around them all and label it "One Whole". Then color in 51 of those circles.
I hope this helps!
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


For this case we have the following number written in scientific notation:

We know that this number is greater than zero because it is a positive number.
Therefore, the following statements are true:
p ∈ (-∞, ∞)
n must be between 1 and 10
n ∈ [1, 10]
Answer:
The following statements are correct about the number written in scientific notation:
p ∈ (-∞, ∞)
n ∈ [1, 10]