Answer:
Step-by-step explanation:
As stated in the question, the probability to toss a coin and turn up heads in the first try is
, in the second is
, in the third is
and so on. Then, P(C) is given by the next sum:

This is a geometric series with factor
. Then is convergent to
. With this we have proved that P(C)=1.
Now, observe that

Then



and

Answer:
interior angle. noun. Any of the four angles formed between two straight lines intersected by a third straight line. An angle formed inside a polygon by two adjacent sides.
Step-by-step explanation:
Answer:
$3.97x + $10 < (or equal to) $25
Step-by-step explanation:
Answer:
Step-by-step explanation:
(x) = (1100 + x) (100 - .05(x-1100))
This is a quadratic, graphs as a parabola that opens downward. A maximum cam be found.
The zeros of the function are
(1100 + x) = 0 ..... or ..... [100 - .05(x-1100)] = 0
x = -1100 is the left x-intercept.
[100 - .05(x-1100)] = 0
100 = .05(x-1100)
2000 = x - 1100
x = 3100 is the right intercept.
Maximization of profits is at the mid point of the zeros (x-intercepts)
(3100 + -1100)/2 = 1000
1100 + 1000 = 2100 trees should be planted to maximize profits.
f(x) = (1100 + 1000) (100 - .05(1000-1100))
f(x) = (2000) (105) = 220,500 is the maximum profit.
I hope this helps!
Hypothenuse is the longest side
You can see the X is the longest
Solution: A. X