If the equation is in the form of y = mx + C, where m and C are real numbers, the slope (which means gradient) of the line is the coefficient of x (I.e. the number to the left of x in simple language), which is m.
In this case, m = 54 and C = -13pie. Both are real numbers, which means that this equation satisfies the form of y = mx + C
m is the coefficient of x, which is 54. 54 is the gradient of this line, which means that for every 54 y-axis units the line increases, the line increases 1 x-axis unit.
Hope this helps! :)
Answer: to get 75% we would split 12 into 4 to find that 25% is 3 oz so the answer is 9 oz
Step-by-step explanation:
Answer:


Step-by-step explanation:
A company claims that its soup vending machines deliver exactly 8 ounces of soup to every customer.
This means that the null hypothesis is that the mean is exactly 8, that is:

You do not want the vending machines to deliver too much or too little soup.
We don't want the mean to be different from 8, which means that the alternative hypothesis is given by:

The answer needs the volume of the original pyramid minus the small pyramid cut off.
Volume of pyramid = (area of base x height)/3
(12 x 6 x 14)/3 - (4 x 10 x 6)/3 = 256 m^3
The diagram is completely wrong so this problem is actually impossible to solve!
If you slice horizontally across a rectangular pyramid the ratios of the edges will remain constant.
The two rectangles are not the same shape! 12:6 is not the same ratio as 10:4
If the original pyramid in this question was sliced in half the top rectangle of the frustum would be 6 x 3.
In this diagram the height was reduced from 14m to 8m so the top 6m was removed.
If the base was 12 x 6 the top rectangle should be 6/14 smaller = 5.14m by 2.57m (not 10 x 4)
If you are brave you could point this out to your teacher