So, imagine the trainer is in the very middle of the circle and he is holding out a rope that's attached to the horse. The rope here from the trainer to the horse represents the radius of the circle. The horse trots around the trainer (middle point) in a circle.
The formula to find area of a circle is A = pi*r^2 (pi times r squared where r is radius)
We know that the radius of the "circle" here formed as the horse trots around the trainer is 31 (the 31 foot long rope).
So let r = 31 & plug the value into the formula to find circle area.
A = pi*31^2 = 3019.07054
The area is therefore 3019.07 square feet. (rounded)
A number is a solution when it fits within the range of answers that the function generates.
Answer:
Catherine's sister ate 2/15 gallons of the ice cream.
.
Step-by-step explanation:
Let
be the amount of ice cream that Catherine's sister ate, in gallons.
- Original amount: 1 gallon.
- What Catherine ate:
gallons. - What Catherine's sister ate is assumed to be
gallons.
- What's left:
gallons.
Consider the relationship:
.
That is:
.
Add
to both sides of this equation:

Substract
from both sides:
.
Convert the denominator of all three numbers on the left-hand side to 
.
.
In other words, Catherine's sister ate
gallons of the ice cream.
Answer:
d
Step-by-step explanation:
look at the x and y axis
Answer:
The probability that all the five flights are delayed is 0.2073.
Step-by-step explanation:
Let <em>X</em> = number of domestic flights delayed at JFK airport.
The probability of a domestic flight being delayed at the JFK airport is, P (X) = <em>p</em> = 0.27.
A random sample of <em>n</em> = 5 flights are selected at JFK airport.
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.
The probability mass function of <em>X</em> is:

Compute the probability that all the five flights are delayed as follows:

Thus, the probability that all the five flights are delayed is 0.2073.