Answer:
97
Step-by-step explanation:
all triangles and lines add up to 180 so 42+55= 97 -180= z =83 180-83=y=97
multiply the 2 numbers together than divide by 2
7 1/2 = 15/2
12 2/3 = 38/3
15/2 * 38/3 = 570/6 =95
95/2=47.5 square feet
Answer:
$3.56
Step-by-step explanation:
mark me brainlest please
Answer:
About the x axis
About the y axis
About the line y=8
About the line x=2
Step-by-step explanation:
For this case we have the following functions:
About the x axis
Our zone of interest is on the figure attached, we see that the limit son x are from 0 to 2 and on y from 0 to 8.
We can find the area like this:
And we can find the volume with this formula:
About the y axis
For this case we need to find the function in terms of x like this:
but on this case we are just interested on the + part as we can see on the second figure attached.
We can find the area like this:
And we can find the volume with this formula:
About the line y=8
The figure 3 attached show the radius. We can find the area like this:
And we can find the volume with this formula:
About the line x=2
The figure 4 attached show the radius. We can find the area like this:
And we can find the volume with this formula:
Answer:
0.7698
Step-by-step explanation:
If you call your random variable , then what you are looking for is
because you want the probability of being <em>between 87 and 123.</em>
We need a table with of the normal distribution. But we can only find the table with and . Because of that, first we need to <em>normalize </em>our random variable:
(you can always normalize your variable following the same formula!)
now we can do something similar to our limits, to get a better expression:
And we transform our problem to a simpler one:
(see Figure 1)
From our table we can see that (this is represented in figure 2).
Remember that the whole area below the curve is exactly 1. So we can conclude that (because 0.8849 + 0.1151 = 1). We also know the normal distribution is symmetric, then
.
FINALLY: