I assume, that this pen is rectangular.
Look, that 48 = 24 * 2 = 12 * 2 * 2 = 3 * 2 * 2 * 2 * 2
And know choose these numbers and multiply!
First dimension: 3*2 x 2*2*2 = 6 x 8
Second: 3 x 2*2*2*2 = 3 x 16
Third: 3*2*2 x 2*2 = 12 x 4
Fourth: 3*2*2*2 x 2 = 24 x 2
Fifth: 48 x 1
Sixth dimension cannot be integer. So you can for example save this as
48 = 3 * 16 = 1.5 * 2 * 16 = 1.5 * 32
Sixth dimension: 1.5 x 32
NOTE: each dimensions are in feet!
First question:
4(3x-5) + (2x -2)(4 + 3x-5)
Simplify -----> 12x - 20 + (2x-2)(3x-1)
Multiply the second part -----> 12x - 20 + 6x^2 -8x + 2
Combine like terms --------> 6x^2 + 4x - 18
Each side of the addition sign represents one of the rectangles above which is then added to get the area of the entire figure.
Second question:
The average is the summation of each data value divided by the number of data values. So it would be
(4 + 5 + 9)/ 3
Simplify ------> 18/3
Divide --------> 6
3000 = p( 1 + .06/2)^(4 * 2)
<span>3000 = p(1.03)⁸ </span>
<span>p = 3000/ 1.03⁸ </span>
<span>p = 2368.2277029 </span>
<span>$2368.23 <-----</span>
Answer:
A. 4
Step-by-step explanation:
First rearrange the temperatures from low to high
60, 65, 68, 69, 69, 70, 70, 70, 71, 71, 73, 74, 75, 77
There are 14 data,
Q1 = 4th data = 69
Q3 = 11th data = 73
Interquartile range = Q3 - Q1 = 73 - 69 = 4