Answer: either 5, 5, 14
First, we know the median is 5. Thus, the middle value of the data is 5, so the set can now be read x, 5, y. Then, because the mode is 5 and the set is not trimodal, either x or y must be 5. Thus, the set could either be 5, 5, 14, or
-4, 5, 5. However, because it must contain only positive number, the answer is 5, 5, 14
Hope it helps <3
Answer:
106 m^2
Step-by-step explanation:
First multiply the shaded area:
12 * 10 = 120
Then multiply the white space:
7 * 2 = 14
Then subtract the white space from the shaded area to find the area of only the shaded area.
120 - 14 = 106
Final answer: 106 m^2
I hope this helps!
Answer:
60 minutes
Step-by-step explanation -
14=14t
14*1=14
Answer:
Step-by-step explanation:
Represent the length of one side of the base be s and the height by h. Then the volume of the box is V = s^2*h; this is to be maximized.
The constraints are as follows: 2s + h = 114 in. Solving for h, we get 114 - 2s = h.
Substituting 114 - 2s for h in the volume formula, we obtain:
V = s^2*(114 - 2s), or V = 114s^2 - 2s^3, or V = 2*(s^2)(57 - s)
This is to be maximized. To accomplish this, find the first derivative of this formula for V, set the result equal to 0 and solve for s:
dV
----- = 2[(s^2)(-1) + (57 - s)(2s)] = 0 = 2s^2(-1) + 114s - 2s^2
ds
Simplifying this, we get dV/ds = -4s^2 + 114s = 0. Then either s = 28.5 or s = 0.
Then the area of the base is 28.5^2 in^2 and the height is 114 - 2(28.5) = 57 in
and the volume is V = s^2(h) = 46,298.25 in^3
The answer is 1 because 1x7=+7
