Answer:
90/13, 45/13
Step-by-step explanation:

Simplify:

Answer:
m
Step-by-step explanation:
Answer: 0.2
Step-by-step explanation:
We know that , the probability density function for uniform distribution is given buy :-
, where x is uniformly distributed in interval [a,b].
Given : The time to process a loan application follows a uniform distribution over the range of 8 to 13 days.
Let x denotes the time to process a loan application.
So the probability distribution function of x for interval[8,13] will be :-

Now , the probability that a randomly selected loan application takes longer than 12 days to process will be :-
![\int^{13}_{12}\ f(x)\ dx\\\\=\int^{13}_{12}\dfrac{1}{5}\ dx\\\\=\dfrac{1}{5}[x]^{13}_{12}\\\\=\dfrac{1}{5}(13-12)=\dfrac{1}{5}=0.2](https://tex.z-dn.net/?f=%5Cint%5E%7B13%7D_%7B12%7D%5C%20f%28x%29%5C%20dx%5C%5C%5C%5C%3D%5Cint%5E%7B13%7D_%7B12%7D%5Cdfrac%7B1%7D%7B5%7D%5C%20dx%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B5%7D%5Bx%5D%5E%7B13%7D_%7B12%7D%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B5%7D%2813-12%29%3D%5Cdfrac%7B1%7D%7B5%7D%3D0.2)
Hence, the probability that a randomly selected loan application takes longer than 12 days to process = 0.2
Answer:
A function of the form
, where 'm' and 'b' are real numbers, is called a <u>linear function.</u>
Step-by-step explanation:
A linear function is one in which the
value of the function varies linearly with 'x'. When we plot a linear function on a graph, the resulting curve is always a straight line with the slope of the line being constant.
A linear function is of the form:
, where, 'm' and 'b' are real numbers.
The degree or the highest exponent of 'x' in a linear function is always equal to 1.
Therefore, a function of the form
, where 'm' and 'b' are real numbers, is called a <u>linear function.</u>
136.4559 or 136.50 rounded.
Find the circumference of the hole. Then multiply the price of the irrigation system by the amount of ft needed.