Answer:
$112.08 every year.
Step-by-step explanation:
Let's suppose a game in which we bet a certain amount of money ''A'' to a certain result and the probability of that result is ''p''. If the prize that we get is ''P'' therefore the expected value of gain is :
Now,let's suppose that the female is ''betting on her death'' ⇒
P(she survives) = 0.999592
P(she doesn't survive) = 1 - 0.999592=
E(25-year old female) = 
The negative sign of E is important.It means that every year the 25-year old female will lose $112.08.
Therefore, the expected value of this policy to the insurance company is $112.08 every year.
Answer:
50.29 in^2
Step-by-step explanation:
From the circumference we need to find the radius.
Since C = 2*pi*r, r = C / (2*pi).
Here, with C = 25 1/7 in, r = (25 1/7 in) / [ 2(22/7) ], or r = 4 in
The area of the cake is A = pi*r^2, or (here) A = (22/7)(4 in)^2 = 50.29 in^2
The question regards composite functions. A composite function is a function composed of more than one function. Sorry for saying the word function so many times there, it's just what it is...
The phrase f(g(x)) means 'perform g on an input x, then perform f on the result'. You can then see that there are many options for f(x) and g(x) here, in fact an infinite number of one were to be ridiculous about it.
However a sensible choice might be g(x) = x^2, and f(x) = 2/x + 9. Checking:
g(x) = x^2
f(g(x)) = 2/(x^2) + 9
That is the first question dealt with. Next up is Q2. It is relatively simple to show that these functions are inverses. If you start with a value x, apply a function and then apply the function's inverse, you should return to the same starting value x. To take a common example, within a certain domain, sin^-1(sin(x)) = x.
f(g(x)) = (sqrt(3+x))^2 - 3 = 3 + x - 3 = x
g(f(x)) = sqrt(x^2 - 3 + 3) = sqrt(x^2) = x
A final note is that this is only true for a certain domain, that is x <= 0. This is because y = x^2 is a many-to-one function, so unrestricted it does not have an inverse. Take the example to illustrate this:
If x = -2, f(x) = (-2)^2 - 3 = 4 - 3 = 1
Then g(f(x)) =sqrt(1 + 3) = sqrt(4) = 2 (principal value).
However the question isn't testing knowledge of that.
I hope this helps you :)
Answer:
Step-by-step explanation:
When there is a ( + ) in front of an expression in parentheses, there is no need to change the sign of each term. That means, the expression remains the same. Just remove the parentheses
Collect like terms
Subtract 3 from 12
Collect like terms
Hope I helped!
Best regards! :D
