Answer: A Person's age is usually considered a discrete variable.
Step-by-step explanation: lets say a person was born in November 2000 and the date is currently September 2020 if asked their age the person would say 19 because they have not turned 20 yet. therefore no matter what date anytime between their 19th birthday up until their 20th birthday they would say they are 19 making age a discrete variable.
Answer: (-∞, -4)
To find the interval(s) over which the function is constant,
We look at the graph and pick the interval where the graph is neither increasing nor decreasing
When the graph is neither increasing nor decreasing means it should be a straight line
From the given graph , we have a straight line starts at -4 and goes to infinity
So constant interval is (-∞, -4)
To get the required value of the missing probability to
make the series complete is to deduct all the probability given to 1 because we
know that the discrete probability distribution must be equal to 1. So doing
what I have said, this will be:
P(4) = 1 - P(3) - P(5) - P(6)
= 1 – 0.3 – 0.18 – 0.21
<span>= 0.31 is the answer.</span>
X is the easy one to solve here. A triangle must have 180 degrees. Add 90 to 38 and subtract that value from 180. This results in x = 52 Degrees. Y is a little bit more difficult. Because The two lines are parallel, Angle CDB is equal to the angle just above y-12. That angle is equal to x, in other words. This angle and y-12 must equal 180 when they are added together, as this is the value for degrees of a line. So, 180= (y-12) + 52. Just solve this algebraically, and is should result in y = 140 degrees.
Tldr: y = 140, x= 52