You would solve this by dividing the total number of ounces by the amount of boxes there are. So it would be 235.2/24=9.8.
Answer:
4.95 and 2.25
Step-by-step explanation:
x+y=7.2
x-y=2.7
Add equations
x+y + x-y= (2x-y+y)=2x
7.2+2.7=9.9
Therefore 2x=9.9 x=9.9/2=4.95
x=4.95
x+y=7.2
4.95+y=7.2
y=7.2-4.95=2.25
y=2.25
Answer:
The expected number of days until prisoner reaches freedom is 12 days
Step-by-step explanation:
From the given information:
Let X be the random variable that denotes the number of days until the prisoner reaches freedom.
We can evaluate E(X) by calculating the doors selected, If Y be the event that the prisoner selects a door, Then;
E(X) = E( E[X|Y] )
E(X) = E [X|Y =1 ] P{Y =1} + E [X|Y =2 ] P{Y =2} + E [X|Y =3 ] P{Y =3}
![E(X) = (2 + E[X])\dfrac{1}{2}+ (4 + E[X])\dfrac{3}{10}+ 1 (\dfrac{2}{10})](https://tex.z-dn.net/?f=E%28X%29%20%3D%20%282%20%2B%20E%5BX%5D%29%5Cdfrac%7B1%7D%7B2%7D%2B%20%284%20%2B%20E%5BX%5D%29%5Cdfrac%7B3%7D%7B10%7D%2B%201%20%28%5Cdfrac%7B2%7D%7B10%7D%29)
![E(X) = (2 + E[X])0.5+ (4 + E[X])0.3+ 0.2](https://tex.z-dn.net/?f=E%28X%29%20%3D%20%282%20%2B%20E%5BX%5D%290.5%2B%20%284%20%2B%20E%5BX%5D%290.3%2B%200.2)
Solving for E[X]; we get
E[X] = 12
Answer:

Step-by-step explanation:
the general equation for a line is:

where
is the slope of the line, and
is the y-intercept.
Since we need a slope of -2/3:
,
So far we have that the line must have the equation:

the graph of a line with a negative slope is one that "falls" from left to right in the plane. And the number
means that it falls at a ratio of 2 units in the y-axis for every 3 in the x-axis.
we are told that the y-intercept is that of the line:
--> here the y-intercept is -2.
Thus the equation of the line we are looking for is:

which means that this line crosses the y-axis at -2, and the graph is the one in the attached image.