Answer: The height of the cylinder is 8 feet.
Step-by-step explanation:
The formula for determining the area of a circle is expressed as
Area = πr²
The area of one of the bases is 78.5 square feet. This means that
78.5 = 3.14 × r²
r² = 78.5/3.14 = 25
r = √25 = 5
The formula for determining the surface area of a cylinder is expressed as
Surface area = 2πr² + 2πrh
The surface area of a cylinder is 408.2 square feet. Therefore,
408.2 = 2 × 3.14 × 5² + 2× 3.14 × 5 × h
408.2 = 157 + 31.4h
31.4h = 408.2 - 157
31.4h = 251.2
h = 251.2/31.4
h = 8 feet
1) Points, Lines, and Planes
(2) Linear Measure and Precision
(3) Points Between Line Segments
(4) The Midpoint
(5) The Pythagorean Theorem
(6) The Distance Formula
Answer:
16%
Step-by-step explanation:
First we start by solving for the z score
We have the following information
x = 3.25
Standard deviation = sd = 2.25
Mean = 5.50
Z = (x - mean)/sd
z = 3.25 - 5.50/2 25
z = -1.00
If we look this up in the standard normal distribution table,
P(z<-1.00) = 0.1587
Which when approximated gives us
16%
Therefore approximately 16% of lobsters will have to be returned back to the sea.
<span>If you're aware of the binomial theorem, you have that:
</span>
The fourth term is then the case
, from which:
