Answer: Choice B) The expression (10-2x)(30-2x)x represents the volume of the box
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The original width is 10 inches. The width reduces to 10-2x inches after we cut off the top two corners of the rectangle. We can think of it as taking 10 and subtracting off two copies of x like so: 10-x-x = 10-2x
Similarly, the length goes from 30 inches to 30-2x inches. This time we're taking off the top and bottom corners (focus on either side it doesn't matter).
The height of the box is x inches due to this portion being folded up.
Volume of box = (width)*(length)*(height)
Volume of box = (10-2x)(30-2x)x
Note: the units for the answer are in cubic inches which can be written as "in^3" (inches cubed).
Answer:
Notice that the subjects of the study are men over 50 years.
So, you need to consider that each subject is a different person with different weight and other different characteristics that determine that weight.
If we have 10 groups randomly selected, that means there's gonna be variability, otherwise, the study wouldn't make sense.
So, if each person is different, then their weights is gonna be different, giving different means.
It would be rare if both means result equal, beacuse that would mean the subjects had the same weight.
Therefore, the variability between these means can be best attributed to the variability of subjects, the difference between each person.
From a numerical perspective, the variability is attributed to the spread of the data group, that is, if there is too much difference between weights, the variabilty will increase.
I hope this helps you
(-5)^2+2. (-5)(-square root of 3)+('square root of 3)^2
25-10square root of 4+3
28-10square root of 3
Answer: -31
Step-by-step explanation: 1.) Plug in -6 for c
2.) equation will then be: 6(-6)+5
3.) use PEMDAS: multiply first then addition
4.) 6(-6) equals -36
5.) add -36+5 which equal -31
Therefore your answer should be -31
Answer:
2, 7.5
Step-by-step explanation:
2(2x - 1) + 7 < 13
4x - 2 + 7 < 1
4x + 5 < 13
4x < 8
x < 2
-2x + 5 ≤ -10
-2x ≤ -10 - 5
-2x ≤ -15
x ≤ -15 / -2
x ≤ 7.5