<span>Residents who are under 25 years and those above are mutually exclusive.
Let V = number of persons who take Vanilla under 25yrs and V' be the number of residents who are at least 25yrs who take Vanilla.
Okay, so P(V) = 40/150 and P(V') = 15/150
P(V or V') = 40/150 + 15/150 = 0.366</span>
Hello,
Use the factoration
a^2 - b^2 = (a - b)(a + b)
Then,
x^2 - 81 = x^2 - 9^2
x^2 - 9^2 = ( x - 9).(x + 9)
Then,
Lim (x^2- 81) /(x+9)
= Lim (x -9)(x+9)/(x+9)
Simplity x + 9
Lim (x -9)
Now replace x = -9
Lim ( -9 -9)
Lim -18 = -18
_______________
The second method without using factorization would be to calculate the limit by the hospital rule.
Lim f(x)/g(x) = lim f(x)'/g(x)'
Where,
f(x)' and g(x)' are the derivates.
Let f(x) = x^2 -81
f(x)' = 2x + 0
f(x)' = 2x
Let g(x) = x +9
g(x)' = 1 + 0
g(x)' = 1
Then the Lim stay:
Lim (x^2 -81)/(x+9) = Lim 2x /1
Now replace x = -9
Lim 2×-9 = Lim -18
= -18
Answer:
y = -5/3x + 4/3z
Step-by-step explanation:
5x + 3y = 4z
3y = -5x + 4z
y = -5/3x + 4/3z
Answer:
Here the most appropriate answer is '>'
Thus it will be 0.248<u> > </u>0.259