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
Answer:
415
Step-by-step explanation:
Answer:
8 * (7 + 4)
See process below
Step-by-step explanation:
We start by writing each number in PRIME factor form:
56 = 2 * 2 * 2 * 7
32 = 2 * 2 * 2 * 2 * 2
Notice that the factors that are common to BOTH numbers are 2 * 2 * 2 (the product of three factors of 2).Therefore we see that the greatest common factor for the given numbers is : 2 * 2 * 2 = 8
Using this, we can write the two numbers as the product of this common factor (8) times the factors that are left on each:
56 = 8 * 7
32 = 8 * 2 * 2 = 8 * 4
We can then use distributive property to "extract" that common factor (8) from the given addition as shown below:
56 + 32
8 * 7 + 8 * 4
8 * (7 + 4)
8 * (11)
88
The correct answer to the question is 1.4
Ken earns 54 dollars at his part-time job on Friday
Given that Total amount earned by ken and his wife at their part-time job on Friday= $174
Money earned by ken= x dollars
Money earned by ken's wife = (2x+12) dollars
Total amount earned by ken and his wife at their part-time job on Friday= x dollars + (2x+12) dollars
(x + 2x + 12 ) dollars = $ 174 ( addition of ken and ken's wife income and total amount earned by ken and his wife at their part-time job on Friday is $174)
(3x + 12 ) dollars = $ 174
3x=$162
x=
x= 54 dollars
Therefore,54 dollars were earned by ken at his part-time job on Friday
Hence,Ken earns 54 dollars at his part-time job on Friday
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