Answer:
a. The Venn diagram is explained in the attached word file.
0.61
b. Not independent
Step-by-step explanation:
a. The hypothetical 1000 table for given situation is
Adult(A) Not Adult (not A) Total
Travel outside (T) 610 170 780
Not Travel outside (not T) 110 110 220
Total 720 280 1000
P(Adult and travel outside)=P(A and T)=610/1000=0.61
b. Multiplication rule for independent events is
P(A and B)=P(A)*P(B)
P(A and T)=0.61
P(A)*P(T)=0.72*0.78=0.56
As P(A and T) is not equal to P(A)*P(T), so event "being an adult" and "travel outside" are not independent.
Hehe, these are fun to do. There are two ways to do this kind of problem. You can use the pythagorean theorem or we can use the distance formula.
Distance formula:
Pythagorean Theorem:

Distance formula is better if you're finding distance between two
coordinates. The Pythagorean Theorem only really works for independent values. If I had 2 sides of a triangle, and I needed to find the third, I'd use this equation to find it. In this case, we'll use the distance formula.
I'll work the first one out for you:
x1 y1 x2 y2
(3, 2) & (7, 4)
v

v

v

There's your answer!
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Answer: 
Step-by-step explanation:
You know that the ratio of the television's screen is
. This ratio can be also written as the following fraction:

The television shows an image with a ratio of
which can be also written as a fraction:

Set up the following proportion and solve for "x":

Now, in order to find the percent of the screen area occupied make the following division:
Answer:
219.6 days
Step-by-step explanation:
Non proportional because 2×$2.40= $4.80 which is not equal to $3.50