Answer:
V of the solid = 40 in³
Step-by-step explanation:
volume of the first rectangular (on left)
l*w*h = 2*4*2=16 in³
volume of the rectangular (on the right)
l*w*h = 2*2*6=24 in³
V1+V2 = 16 +24=40 in ³

We'll assume that there is an equal probability of any position on the wheel, so a
chance for any given number.
We must take the probability of getting a 27, then the probability of getting a 15, and multiply them together to find the chances that they both happen in a row.

Answer:
About 90.84 in^2
Step-by-step explanation:
The formula for the surface area of a pyramid is
, which for this pyramid is equal to about 90.84 in^2. Hope this helps!
Answer:

Step-by-step explanation:
Rewrite the quadratic using the method of completing the square:

From this form it is immediately clear that the vertex of the parabola is at x=1 and its y-intercept at -6.
Answer:
The interquartile range is 5.
Step-by-step explanation:
Ah, a throwback to interquartile range... let me help :)
4,5,6,8,9,10,11,12
First, you need to know how to use the IQR. The interquartile range is basically known as the process of subtracting the upper quartile and the lower quartile of a set of data. The lower quartile should be written as Q1, and the upper quartile would be labeled as Q3. This would make the midpoint (median) data set Q2, and the highest possible point would be labeled Q4. Next, you have to always understand what you are looking at. For example, let's split the set 5,6,7,8,9,10,11,12 into groups. 5 and 6 would be Q1, 7 and 8 would be Q2, 9 and 10 would be Q3, and last but not least, 11 and 12 would be labeled as Q4. Now take Q1 and subtract it from Q3 and that is how you get your IQR.