Answer:
-$0.16
Step-by-step explanation:
The expected value is the sum of the outcomes multiplied by their probabilities.
E(X) = 1/38 (+68) + 37/38 (-2)
E(X) = -0.16
The arcsine,

, is the inverse of the

function. This means that it takes as <em>inputs </em>what would usually be <em>outputs </em>for the

function and produces as <em>outputs </em>what would usually be <em>inputs </em>for the

function.
This can be particularly useful when you're trying to find an angle on a right triangle, but you've only been given the lengths of the sides. To find any angle

in a right triangle, just take

, where o is the side opposite

and h is the hypotenuse of the right triangle.
Answer:
its the Pentagon, the other shaps have 2 lines if symmetry
15 = 0.23x
x = 65.2
therefore 15 is 23% of 65.2
<span>Let a_0 = 100, the first payment. Every subsequent payment is the prior payment, times 1.1. In order to represent that, let a_n be the term in question. The term before it is a_n-1. So a_n = 1.1 * a_n-1. This means that a_19 = 1.1*a_18, a_18 = 1.1*a_17, etc. To find the sum of your first 20 payments, this sum is equal to a_0+a_1+a_2+...+a_19. a_1 = 1.1*a_0, so a_2 = 1.1*(1.1*a_0) = (1.1)^2 * a_0, a_3 = 1.1*a_2 = (1.1)^3*a_3, and so on. So the sum can be reduced to S = a_0 * (1+ 1.1 + 1.1^2 + 1.1^3 + ... + 1.1^19) which is approximately $5727.50</span>