Answer:

Step-by-step explanation:
From the Venn diagram, n(AUB)=31
The given probabilities in the option are calculated below:

The only correct option is the probability of B which is 
Answer:
here
Step-by-step explanation:
https://www.rcboe.org/cms/lib/GA01903614/Centricity/Domain/1351/21.2%20permutations%20and%20probability.pdf
False. Supplementary angles have to add up to 180 degrees, and that is clearly not a flat line lol
Answer:
Y=1/3
Step-by-step explanation:
X=k/y
So let's make k the subject of formula
k=xy
x=1,y=5
So let's substitute
k=1×5
k=5
So we are to determine the value for y when x is 15
So let's solve
Y=k/x
Y=5/15
Y=1/3
Y=0.333333~0.3
Answer:
<h3>
There is a constant of variation in the equation and it is 750. This means that the amount olivia earns increases by $750 every week.</h3>
Step-by-step explanation:
Given the equation y = 750x which represents the number of dollars y Olivia earns in x weeks, from the equation, it can be inferred that the number of dollars olivia earns is DIRECTLY PROPORTIONAL to the number of weeks. This relationship is therefore a direct variation.
In direct variation, increase in a variable will lead to corresponding increase in the other variable and vice versa by a factor known as the constant of variation.
For example if y is directly proportional to x, it is written mathematically as shown;



where k is the constant of proportionality.
comparing the general expression above with the equation in question,
y = 750x
k = 750
Therefore we can conclude that there is a constant of variation in the equation and it is 750. This means that the amount olivia earns increases by $750 every week.