Volume of the box= <span>56 cubic inches
let x is the length, then
width =</span><span>2 inches shorter than its length = x - 2
</span>height = <span>3 inches taller than its length = x+3
Volume = length x width x height
56 = x x (x-2) x (x+3)
56 = (x</span>² -2x)(x+3)
56 = x³ +3x² -2x² - 6x
56 = x³ + x² -6x
x³+x²-6x-56 = 0
using the rational root theorem and factoring the polynomial;
(x-4)(x² +5x +14) = 0
from here;
x-4 = 0
x = 4
So, length = 4 inches
width = x - 2 = 4 -2 = 2 inches
length = x + 3 = 4 + 3 = 7 inches
volume = l x w x h = 4 x 2 x 7 = 56
Answer:
The median of a data set is better when you have a term or terms that are not close to the other terms
Step-by-step explanation:
For example:
Say you have the data set
1, 15, 17, 18, 22, 84
The median of these terms would be 17.5
(it is the exact center of the data group)
17 + 18 = 35
35/2 = 17.5
The mean of these terms would be 26.17
(this number is not close to the center because the numbers 1 and 84
are not close enough to the other terms)
1 + 15 + 17 + 18 + 22 + 84 = 157
157/6 = 26.17
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▹ Answer
<em>d. 7/20</em>
▹ Step-by-Step Explanation
Hope this helps!
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Answer:
option: B is correct
A reflection across line n followed by a 270° rotation about point P.
Step-by-step explanation:
Clearly from the figure we could see that the graph is first reflected across the given line n such that we obtain the figure R'S'T'V'U' and then it is rotated 270° across the point P so that we obtain the figure R"S"T"U"V".
Hence, option B is correct.
( A reflection across line n followed by a 270° rotation about point P )