What you have to do is find the area of the whole rectangle, then subtract of the empty parts:
50*48-0.5(50-41)(48)-6.5(pi(5/2)^2)-1.5pi(4^2)-pi(5^2)-pi=1899.293mm^2
Explanation:
The first subtraction is the area of the triangle. The rest are the combined areas of the circles and semicircles (semicircles are just half the area of a circle)
Answer:
1899.293mm^2
Y intercept occurs when x = 0
so its 0-4 / 0- 4 = 1
coordinates of y intercept is (0,1)
x intercept occurs when y = 0
(x -4) / (x^2-4) = 0
x-4 = 0
x = 4
x intercept at (4,0)
Answer:
3.70% probability she allows more than one goal
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given time interval.
X~Pois(0.3)
This means that 
In her next match, what is the probability she allows more than one goal?
Either she allows at most one goal, or she allows more than one goal. The sum of the probabilities of these events is decimal 1. So

We want
. So

In which






3.70% probability she allows more than one goal
Answer:
Shandra would pay $27.50 for 5 slices
Cost = 20+1.50x
Step-by-step explanation:
Given

per slice
Solving (a): Cost of 5 slices
Represent the total price with y and the number of slice with x.
So, we have:

This gives:

In this case: x = 5.
So, we have:



<em>Shandra would pay $27.50 for 5 slices</em>
<em></em>
Solving (b): Cost of x slices
This has been solved in (a).


Hence, the cost of x slices is 20+1.50x
First of all (3x + 50) is equal to (6x - 10)
so (3x + 50) = (6x - 10)
3x + 50 = 6x - 10
60 = 3x
20 = x
There ya go!