Answer:
1250(3) = 3750
3750 - 100d ≥ 3000
-100d ≥ -750
d ≤ 7.5
She can miss no more than 7 days to make $3000.
Step-by-step explanation:
Answer:
The expected number of minutes the rat will be trapped in the maze is 21 minutes.
Step-by-step explanation:
The rat has two directions to leave the maze.
The probability of selecting any of the two directions is, 
.
If the rat selects the right direction, the rat will return to the starting point after 3 minutes.
If the rat selects the left direction then the rat will leave the maze with probability 
after 2 minutes. And with probability 
the rat will return to the starting point after 5 minutes of wandering.
Let <em>X</em> = number of minutes the rat will be trapped in the maze.
Compute the expected value of <em>X</em> as follows:
![E(X)=[(3+E(X)\times\frac{1}{2} ]+[2\times\frac{1}{6} ]+[(5+E(X)\times\frac{2}{6} ]\\E(X)=\frac{3}{2} +\frac{E(X)}{2}+\frac{1}{3}+\frac{5}{3} +\frac{E(X)}{3} \\E(X)-\frac{E(X)}{2}-\frac{E(X)}{3}=\frac{3}{2} +\frac{1}{3}+\frac{5}{3} \\\frac{6E(X)-3E(X)-2E(X)}{6}=\frac{9+2+10}{6}\\\frac{E(X)}{6}=\frac{21}{6}\\E(X)=21](https://tex.z-dn.net/?f=E%28X%29%3D%5B%283%2BE%28X%29%5Ctimes%5Cfrac%7B1%7D%7B2%7D%20%5D%2B%5B2%5Ctimes%5Cfrac%7B1%7D%7B6%7D%20%5D%2B%5B%285%2BE%28X%29%5Ctimes%5Cfrac%7B2%7D%7B6%7D%20%5D%5C%5CE%28X%29%3D%5Cfrac%7B3%7D%7B2%7D%20%2B%5Cfrac%7BE%28X%29%7D%7B2%7D%2B%5Cfrac%7B1%7D%7B3%7D%2B%5Cfrac%7B5%7D%7B3%7D%20%2B%5Cfrac%7BE%28X%29%7D%7B3%7D%20%5C%5CE%28X%29-%5Cfrac%7BE%28X%29%7D%7B2%7D-%5Cfrac%7BE%28X%29%7D%7B3%7D%3D%5Cfrac%7B3%7D%7B2%7D%20%2B%5Cfrac%7B1%7D%7B3%7D%2B%5Cfrac%7B5%7D%7B3%7D%20%5C%5C%5Cfrac%7B6E%28X%29-3E%28X%29-2E%28X%29%7D%7B6%7D%3D%5Cfrac%7B9%2B2%2B10%7D%7B6%7D%5C%5C%5Cfrac%7BE%28X%29%7D%7B6%7D%3D%5Cfrac%7B21%7D%7B6%7D%5C%5CE%28X%29%3D21)
Thus, the expected number of minutes the rat will be trapped in the maze is 21 minutes.
The measures of 2 vertical angles are always equal, so we have:
7x+182=9x+192.
Rearranging, we have 182-192=9x-7x, which simplifies to -12=2x.
Thus, x=-6.
This means that the angles are:
i) 7x+182=7(-6)+182=182-42= 140(degrees).
ii) <span>9x+194=9(-6)+194=194-54=140 (degrees, as expected.)
Answer: x=-6</span>
Answer:
B (it's kinda cut off)
Step-by-step explanation:
Use the acronym SOHCAHTOA to determine which trigonometric function to use. We'll use cosine since we have the hypotenuse and the adjacent length.
Set up an equation:
cos(41)=x/18
cos(41)*18=x
13.585=x
So your best choice would be B
Answer:
The real answer to this question is B
Step-by-step explanation:
I made a 100 on my quizStep-by-step explanation:
