Answer:
D bc you keep going up by 60m/1hr
Step-by-step explanation:
4^(12-4x)=256 realize that 256 is 4^4 so we really have:
4^(12-4x)=4^4 taking the natural log of both sides
(12-4x)ln4=4ln4 dividing both sides by ln4
12-4x=4 subtract 12 from both sides
-4x=-8 divide both sides by -4
x=2
Answer:
Natural numbers , whole numbers, Integers
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.
Answer:
A. You would first plot the y intercept. The first equation would be (0,-8) and the second equation is (0,-11). Then you would plot the slope. For the first equation, from (0,-8), you would move up 3 plots and right 1 plot. For the second equation, from (0,-11), you would move up 9 plots and right 1 plot.
B. The solution to the pair of inequalities is (1/2, -13/2). That is the intersection and point of the two lines. You would need to graph the two lines (see part A answer) and then find the intersection.
Hope this helps!
