Answer: The surface area of each cube is 24 ft² (24 square feet)
Step-by-step explanation: The boxes according to the question are shaped like cubes, which means the shape we have here has square faces on all sides. Also the boxes have been opened up into nets and this shows each box as having 6 faces.
The area of each face is derived as follows;
Area = L x W
Area = 2 x 2
Area = 4 ft²
Having calculated the surface area of each face, a box or cube with 6 faces will have its surface area as;
Area of box = Face area x 6
Area of box = 4 x 6
Area of box = 24 ft²
Therefore in designing labels for all of the boxes, Raj would need 24 square feet of label for each box.
A 95% confidence interval on the z-table is 1.96.
Now find the standard error using the formula: standard deviation / square root sample size:
0.7 / √100 = 0.07
Multiply to the confidence interval: 1.96 x 0.07 = 0.137 = 0.14
Now add and subtract tot he average weight:
14 - 0.14 = 13.86
14 + 0.14 = 14.14
The answer is 13.96 ≤ u ≤ 14.14
ANSWER: The equation of a line in slope-intercept form looks like the following: y = mx + b
where m is the slope of the line and b is the y-intercept.
Given any 2 points (x1, y1) and (x2, y2) on a line, the slope (m) = (y2-y1)/(x2-x1).
So, Whenever the slope (m) is undefined it means that when you try to
calculate the slope given any 2 points on the line you'll end up with a
zero in the denominator, which is undefined. That is, with an undefined
slope you end up with a vertical line, which has the equation "x=some
number".
m = (y2-y1)/(x2-x1) = (y2-y1)/0 = undefined. This implies that x2=x1. So x is the same for any value of y on the line, which is why the equation is "x=some number" and the line is vertical.
So the equation of a line, in slope-intercept form, with an undefined
slope (m=undefined) crossing through the point (-3, 5) is: x= -3 ,
which is a vertical line.
Hope this helps you
