M(2,5) is the midpoint of RS. The coordinates of S are (3,9). What are the coordinates of R?
1 answer:
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Answer:
<em>The coordinates of b are: B=(-7,-8)</em>
Step-by-step explanation:
We are given the coordinates of the midpoint of as M=(-5,-2).
We are also given the coordinates of A=(-3,4). The question requires us to calculate the coordinates of the other endpoint B.
Let (xb,yb) the coordinates of B. The coordinates of the midpoint can be calculated as follows:
We know xa=-3 and xm=-5. Solve the first equation for xb:
Substituting:
We can solve the second equation for xb and get:
Since ya=4 and ym=-2, then:
Thus, the coordinates of b are: B=(-7,-8)
Answer:
The box-and-whisker plot of this distribution is presented in the attached image to this solution.
Step-by-step explanation:
A box plot gives a visual representation of the distribution of the data, showing where most values lie and those values that greatly differ from the rest, called outliers.
A box and whiskers plot shows 5 major information about the distribution of data. It shows:
- The maximum variable.
- The minimum variable.
- The Median.
- The first quartile.
- The third quartile.
Further info such as the range and Inter quartile range can then be obtained from this 5-number summary.
The elements of the box plot are described thus;
The bottom side of the box represents the first quartile, and the top side, the third quartile. Therefore, the width of the central box represents the inter-quartile range.
The horizontal line inside the box is the median.
The lines extending from the box reach out to the minimum and the maximum values in the data set, as long as these values are not outliers. The ends of the whiskers are marked by two shorter horizontal lines.
Variables in the dataset, higher than Q3+(1.5×IQR) or lower than Q1-(1.5×IQR) are considered outliers and are usually shown using dots above the top whisker or below the bottom whisker.
The required boxplot for this question is given in the attached image to this solution.
The median for the boxplot isn't provided, but it was assumed to be midway between the first and third quartile.
Hope this Helps!!!
