The probability that he lost less than 19 pounds is 7 / 9.
According to statement
The weight loss by individual is 12 Pounds
So, by uniform distribution probability
P(c ≤ x ≤ d) = (d - c) / (b - a)
Substitute the values in it then
P(12 ≤ x ≤ 19) = (19 - 12) / (20 - 11)
P(12 ≤ x ≤ 19) = 7 / 9
So, the probability that he lost less than 19 pounds is 7 / 9.
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If you have a function y = f(x), the transformation along the x-axis is given by:
y = f(x+a) ⇒ This is the translation to the LEFT by 'a' units
y = f(x-a) ⇒ This is the translation to the RIGHT by 'a' units
So you have, f(x) = 5ˣ, translated 4 unit right will give g(x) = 5⁽ˣ⁻⁴⁾
She needs in total 40,000 votes, and from those 40,000, 4/5 need to be from senior citizens, now, 5/5 is a "whole", so 5/5 - 4/5 that leaves only 1/5.
therefore, of those 40,000 votes, 1/5 can be of non-senior citizens, how much is 1/5 of 40,000? well, is just their product,
I’m probably wrong but I got 52.5. I’m most likely wrong but hope I could help a bit