The original functions are: f(n) = 500 and g(n) = [9/10]^(n-1)
A geometric sequence combining them is: An = f(n)*g(n) = 500*[9/10]^(n-1):
Some terms are:
A1= 500
A2 = 500*[9/10]
A3 = 500*[9/10]^2
A4 = 500*[9/10]^3
....
A11 = 500*[9/10]^10 ≈ 174.339
Answer: the third option, An = 500[9/10]^(n-1); A11 = 174.339
Answer:
0.2915
Step-by-step explanation:
Let W represent water and D represent Dying probability
W = water
D = die
->If with water, it will die with probability 0.4
P(W & D) = 0.82 x 0.4 = 0.328
->Without water the plant will die with probability 0.75
P(W ' & D) = 0.18 x 0.75 = 0.135
Taking sum of the above values with water and without water.
P(D) = P(W & D) + P(W ' & D) = 0.4643
P(W ' | D) = P(W ' & D) / P(D)
= 0.135 /0.463
= 0.2915 ≈ 29.15%
Thus, the probability the neighbor forgot to water is 0.2915
The ascending or descending order of a polynomial is
determined by the increasing or decreasing power of variable “x” respectively.
<span>The question is to find about the polynomial in
descending order, so in this case, the 3rd option is correct, i.e.
4x^2 – 3x + 9 or 4x^2 – 3x^1 +9x^0. The power of “x”
decreasing from 2 to 1 and then finally to 0.</span>
Example...
4^x = 16
log(4^x) = log(16)
x*log(4) = log(16)
x = log(16) / log(4)
8 would be the length of each piece of wire I think.
