From 2000 to 2011, there are 11 years. From the given function, we can calculate the profit for a small business at the end of 2011 by substituting 11 to the x of the given equation.
y = (30,000)(1.06)(11)
y = 349,800
Thus, the profit at the end of 2011 is approximately $349,800.
Looks like a badly encoded/decoded symbol. It's supposed to be a minus sign, so you're asked to find the expectation of 2<em>X </em>² - <em>Y</em>.
If you don't know how <em>X</em> or <em>Y</em> are distributed, but you know E[<em>X</em> ²] and E[<em>Y</em>], then it's as simple as distributing the expectation over the sum:
E[2<em>X </em>² - <em>Y</em>] = 2 E[<em>X </em>²] - E[<em>Y</em>]
Or, if you're given the expectation and variance of <em>X</em>, you have
Var[<em>X</em>] = E[<em>X</em> ²] - E[<em>X</em>]²
→ E[2<em>X </em>² - <em>Y</em>] = 2 (Var[<em>X</em>] + E[<em>X</em>]²) - E[<em>Y</em>]
Otherwise, you may be given the density function, or joint density, in which case you can determine the expectations by computing an integral or sum.
Alright, lets get started.
Lets check each possible answer one by one.
We will start from option B.
BC is from small triangle and its corresponding side is DF, so its ratio will be not as given in option. Hence option B is incorrect.
For option C,
Angle a° and angle f° are not similar angles, if they were similar, then only their ratio will be 1 otherwise not 1. Hence option C is incorrect.
For option D,
Angle c° and angle f° are similar angles so, their ratio will be . Hence option D is incorrect.
Now option A,
ED and AB are corresponding sides. ED is from bigger triangle and AB is from smaller triangle. Their ratio will be . Hence option A is correct answer.
Hope it will help :)
Answer:
1
Step-by-step explanation:
1.49/6 = 0.248 per oz
3.59/13 = 0.276 per oz
lowest price is A. 6 oz for 1.49