Answer:
m = -4
b = -12
Step-by-step explanation:
First, identify the slope-intercept form:
y = mx + b
y = -4x - 12
Whereas m = slope and b = y-intercept.
Slope is the steepness of the line.
The y-intercept is where the line intersects the y axis.
Considering the given stem-and-leaf plot, the quartiles are given as follows:
- The first quartile is of 67.5.
- The second quartile, which is the median, is of 84.5.
- The third quartile is of 91.5.
<h3>What are the median and the quartiles of a data-set?</h3>
- The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.
- The first quartile is the median of the first half of the data-set.
- The third quartile is the median of the second half of the data-set.
There is an even number of elements(26), hence the median is the mean of the 13th and 14th elements, which are 83 and 86, hence:
Me = (83 + 86)/2 = 84.5.
The first half has 12 elements, hence the first quartile is the mean of the 6th and 7th elements, which are 67 and 68, hence:
Q1 = (67 + 68)/2 = 67.5.
The third half also has 12 elements, starting at the second 86, hence the third quartile is the mean of the 6th and 7th elements of this half, hence:
Q3 = (91 + 92)/2 = 91.5.
More can be learned about the quartiles of a data-set at brainly.com/question/28017610
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Answer:
I second that,
Step-by-step explanation:
Answer:
18.2 cubic meters.
Step-by-step explanation:
From the measurements they give us, we assume that the shed has the shape of a rectangular prism, however, to calculate the amount of storage, we must calculate the volume.
The volume would be:
V = height * width * length
According to the statement height = 2, width = 2 and length = 3.25
V = 2 * 2 * 3.25
V = 13
That is, the volume of the shed is 13 cubic meters, but then they mention that the roof line to the peak is 0.8 meters high, which means that the volume can increase, the new volume would be changing the height = 2 + 0.8 = 2.8, the other values remain the same:
V = 2.8 * 2 * 3.25
V = 18.2
That is to say that when adding that part, the volume that is to say total amount of storage is 18.2 cubic meters.
