The image is attached with answer
<h3>
What is a Quadrilateral ?</h3>
A quadrilateral is a polygon with four sides , four angles and four vertices.
It is given in the question that
Quadrilateral BGTS has vertices B (-3, 4), G (-1, 3), T (-1, 1), and S (-4, 2).
A graph has to be drawn of
its image after a translation along (5,0) and a reflection in the x-axis.
The coordinates after translation and reflection is is B (8, -4), G (6, -3), T (6, -1), and S (7, -2).
The image is attached with the answer .
To know more about Quadrilateral
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Answer:
The mean number of gerbils seen per day is 6.
The mean absolute deviation of the data is 2.29.
Step-by-step explanation:
The mean of a data set is the value that represents the entire data set. It is the average value.
The formula to compute the mean of a data set is:
The mean absolute deviation (MAD) of a data set is the average distance amid each value and the mean. The MAD provides us with an idea about the deviation in the data set.
The formula to calculate the value of MAD is:
The data set for the number of gerbils seen per day is:
S = {2, 3, 5, 7, 8, 8, 9}
Compute the mean of the data as follows:
![=\frac{1}{7}\times [2+3+5+7+8+8+9]\\\\=\frac{1}{7}\times 42\\\\=6](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B7%7D%5Ctimes%20%5B2%2B3%2B5%2B7%2B8%2B8%2B9%5D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B7%7D%5Ctimes%2042%5C%5C%5C%5C%3D6)
The mean number of gerbils seen per day is 6.
Compute the mean absolute deviation of the data as follows:
![=\frac{1}{7}\times [|2-6|+|3-6|+|5-6|+|7-6|+|8-6|+|8-6|+|9-6|]\\\\=\frac{1}{7}\times 16\\\\=2.2857\\\\\approx 2.29](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B7%7D%5Ctimes%20%5B%7C2-6%7C%2B%7C3-6%7C%2B%7C5-6%7C%2B%7C7-6%7C%2B%7C8-6%7C%2B%7C8-6%7C%2B%7C9-6%7C%5D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B7%7D%5Ctimes%2016%5C%5C%5C%5C%3D2.2857%5C%5C%5C%5C%5Capprox%202.29)
Thus, the mean absolute deviation of the data is 2.29.
Hello!
1. To convert minutes to hours, we must multiply the number of minutes by 60, because that is how many minutes there are in an hour.
2. 1 pint = 16 ounces
16 × 8 = 128
Fernando bought 128 fluid ounces of milk.
3. 1 quart = 0.25 gallons
0.25 × 8 = 2
2 gallons are equivalent to 8 quarts.
4. Because when you divide 25 by 8, the result is greater than 3.
5. By dividing 6,400 by 2,000, because that is how you will find the exact equivalent of 6,400 pounds in tons.
7. 1 pound = 16 ounces
16 × 80 = 1,280
1,280 ounces is equivalent to 80 pounds.
9.
The missing value in the table is 918, because:
1 yard = 3 feet
3 × 306 = 918
306 yards = 918 feet
Given that <span>Martin's unpaid credit card balance was $1539.39 and his APR is 13.2%.
APR is the annual interest rate, to get the monthly interest rate, we divide the APR by 12.
Thus, monthly interest rate is </span>
The interest charge for the month is given by
, where P is the previous balance, i is the monthly interest rate.
Thus, interest charge is
The balance after the monthly interest charge = $1,539.39 + $16.93 = $1,556.32
Therefore, the balance after the new transaction is given by $1,556.32 + $178 = $1734.32
Answer:
The mean absolute deviation of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset. ... Step 2: Calculate how far away each data point is from the mean using positive distances.
