Solve. A power outage affected all homes and businesses within a 3 mile radius of the power station. If the power station is loc
1 answer:
Answer:
Step-by-step explanation:
The power station is located 5 miles west and 6 miles north of the center of town. So if we try to locate the above points on a Cartesian plane. The co-ordinates of these points will be (-5,6).
And it is also mentioned that a power outage affected all homes and businesses within a 3 mile radius of the power station. So if we plot all the furthest points from the station affected by the power outage it will be a circle of radius 3 miles and center at (-5,6).
The equation of a circle with center (a,b) and radius r is given by :
Hence the equation of the resulting circle will be:
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Deducing from the considered box plot, the number of crates that weigh more than 99.5 pounds is 330 approx.
<h3>How does a boxplot shows the data points?</h3>A box plot has 5 data description.
- The leftmost whisker shows the minimum value in the data.
- The rightmost whisker shows the maximum value in the data.
- The leftmost line in the box shows the first quartile.
- The middle line shows the median, also called second quartile.
- The last line of the box shows the third quartile.
When we get data which can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.
Quartiles are then selected as 3 points such that they create four groups in the data, each groups approximately possessing 25% of the data.
- Lower quartile, also called first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.
- Similarly, second quartile (also called median) is approximately in mid of the data.
- Third quartile (also called upper quartile) has approx 75% in its left partition, and on its right lies approx 25% of the data.
Left to right is said in assumption that data was arranged increasingly from left to right
We're specified here that:
Total 440 crates is being shipped by company.
The box plot is defined by the points 84, 99.5, 113, 143, 170
The point 99.5 is the first quartile.
There are 75% observations on its right, so 75% of 440 is the number of crates which weigh greater than 99.5 pounds.
We get this value as:
Thus, deducing from the considered box plot, the number of crates that weigh more than 99.5 pounds is 330 approx.
Learn more about quartiles here:
Answer:
7k
Step-by-step explanation:
The given expression is
We need to find the simplified form of the given expression.
Like terms: The terms which have same variables of same degree and known as like terms. For example: 2x and 4x are like terms.
The given expression can be rewritten as
On combining like terms we get
Therefore, the equivalent expression of the given expression is 7k.