Answer:
Step-by-step explanation:
To find median and mode for
a) In a uniform distribution median would be
(a+b)/2 and mode = any value
b) X is N
we know that in a normal bell shaped curve, mean = median = mode
Hence mode = median = 
c) Exponential with parameter lambda
Median = 
Mode =0
Answer:
Explained below.
Step-by-step explanation:
The human resource department at a certain company wants to conduct a survey regarding worker morale. The department has an alphabetical list of all 4,502 employees at the company and wants to conduct a systematic sample of size 50.
Systematic sampling is a kind of probability sampling method in which individuals from a larger population are nominated according to a random initial point and a static, periodic interval.
(a)
A sample of size 50.
Then the value of <em>k</em> will be: 
Thus, the value of <em>k</em> is 90.
(b)
Label the employees from 1 to 4502.
And select every 90th employee.
So, the individuals who will be administered the survey are:
90th, 180th, 270th,...
Answer:
5x + 2
Step-by-step explanation:
it has the greatest slope
Answer:
the correct choice is marked
Step-by-step explanation:
Let x represent the smaller number. Then the larger number is 8x, and the difference is ...
8x -x = 280
7x = 280 . . . . . simplify
x = 40 . . . . . . divide by 7
The larger number is 8x = 8(40) = 320.
_____
<em>Additional comment</em>
Effectively, we have solved for the multiplier (40) that gives the ratio with 320 on top and a difference between top and bottom of 280:

tan(3θ + 17) = cot(θ + 7)
(3θ + 17) + (θ + 7) = 90
(3θ + θ) + (17 + 7) = 90
4θ + 24 = 90
- 24 - 24
4θ = 66
4 4
θ = 16.5