Answer:
a) 
b) 0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:

The probability of finding a value between c and d is:

The probability of finding a value above x is:

The probability density function of the uniform distribution is:

The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards.
This means that
.
a. Give a mathematical expression for the probability density function of driving distance.

b. What is the probability the driving distance for one of these golfers is less than 290 yards?

0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards
<h2>
Answer:</h2>
(a)
(b)
(c)
<h2>
Step-by-step explanation:</h2>
We are given a function f(x) as :

(a)

We will substitute (x+h) in place of x in the function f(x) as follows:

(b)
Now on subtracting the f(x+h) obtained in part (a) with the function f(x) we have:

(c)
In this part we will divide the numerator expression which is obtained in part (b) by h to get:
Plug it into the distance formula.
d= (sqrt) (x2-x1)^2 +(y2-y1)^2
d= (sqrt) (17-17)^2 + (33-(-21)^2
d=(sqrt) (0)^2 + (33 +21)^2
d= (sqrt) (54)^2
d= (sqrt) 2916
d=54
The distance is 54 units.
I hope this helps!
~kaikers
Answer:
K = 50
L = 90
KML = 40
LMN = 140
Step-by-step explanation:
The sum of the angles in a triangle will always be 180 degrees, and in the triangle pictured, we know the value of each angle. We can say that
5x + 4x + 9x = 180
18x = 180
x = 10
Now that we know the value of x, we can figure out the value of the angles.
K = 5x = 50
L = 9x = 90
KML = 4x = 40
A straight line is 180 degrees, so to find angle KMN, you have to subtract KML (4x) from 180
180 - 4x = 180 - 40 = 140
tax gets added to the price of the camera
so the equation is:
x + 0.07x = 45; x = $42.06