Answer:



Step-by-step explanation:
In this case we can calculate the probability using the binomial probability formula

Where p is the probability of obtaining a "favorable outcome " x is the number of desired "favorable outcome " and n is the number of times the experiment is repeated. In this case n = 10 and p = 0.54.
(a) exactly five
This is:

So:


(b) at least six
This is: 


(c) less than four
This is: 


Answer:
D. 28.54
Step-by-step explanation:
To find the area of the shaded region, find the area of the circle and divide it in 4. This will the area of the portion with the triangle.
Now, find the area of the triangle and subtract the two. The resulting value will be the area of the shaded region.
Circle:

Divide by 4 for the area of the section with the triangle.
314/4 = 78.5
Triangle:

Subtract the two, 78.5 - 50 = 28.5.
Answer:
60
Step-by-step explanation:
We can use the pythagorean theorem to find the leg.
10^2+x=13^2
x=12
We now find the area given the height of the triangle.
10 X 12=120
120/2=60
Answer:

Step-by-step explanation:
A <u>helix</u> is a curve for which the tangent makes a constant angle with a fixed line. The shortest path between two points on a cylinder (one not directly above the other) is a fractional turn of a helix, as can be seen by cutting the cylinder along one of its sides, flattening it out, and noting that a straight line connecting the points becomes helical upon re-wrapping (see attached diagram for helix).
The parametrization for the helix is

where
is the radius of the helix,
is the constant, and
is the parameter