Answer:
The number of data values between the lower quartile and the median is less than the number of data values between the upper quartile and the median.
Step-by-step explanation:
A polynomial that represents the volume of the Amazon box is; V(x) = x³ - 6x² + 5x
<h3>
How to calculate the volume of a box</h3>
- Length of box = x
- Width of the box is 4 inches less than the length. Thus; width = x - 4
- Height is said to be 1 inch less than the width. Thus; height = x - 4 - 1 = x - 5
Now, the formula for volume of a box is;
V = length × width × height
Thus;
V = x • (x - 1) • (x - 5)
V = x(x² - x - 5x + 5)
V = x(x² - 6x + 5)
V(x) = x³ - 6x² + 5x
In conclusion, the polynomial that represents the volume of the Amazon box is V(x) = x³ - 6x² + 5x
Read more on volume of a box at; brainly.com/question/15532376
Hi there!
The answer is:
The range of a relation is the output (y) values of the relation. The range represents the set of the y-coordinates from the ordered pairs.
~ Hope this helps you!
A: Yes, the sum of two sides are greater than the third side.
B: Yes, the sum of two sides are greater than the third side. (Would be an equiilateral triangl.)
C: No, the sum of two sides are less than the third side.
In general, To determine if 3 side lengths are a triangle, use the triangle inequality theorem, which states that the sum of 2 sides of a triangle must be greater than the third side. Therefore, all you have to do is add together each combination of 2 sides to see if it's greater than the third side.
<span>Let x be the
width of the frame.
Area of the picture is 5*7 = 35 sq in</span>
Area of the
frame given as the same, frame = 35 sq in also
<span>
Therefore the total area (picture & frame) will be 70 sq in</span>
<span>
A simple equation would be made and it will look like this: (7+2x) * (5+2x) =
70
</span>
<span>Using the FOIL
method
35 + 14x + 10x + 4x^2 = 70
4x^2 + 24x + 35 - 70 = 0; subtract 70 from both sides:
4x^2 + 24x - 35 = 0</span>
<span>
unluckily this will not factor easily, so we should use the quadratic equation:
where: a = 4; b = 24; c = -35</span><span>
</span><span> x = -b sqrt b^2 – 4*a*c divided by 2 * a</span><span>
x
= -24</span> ±<span>
sqrt 24^2 -4*4*(-35) divided by 2*4
x = -24 </span>±<span>sqrt 576 -
-(560) divided by 8
x = -24 </span>± sqrt 576 + 560 divided by 8<span>
x = -24 </span>± sqrt1136
divided by 8<span>
x = -24 + 33.7046 divided by 8
x = 9.7046 divided by 8
x =1.213 inches is the answer</span>
<span> </span>
