Answer:27.5%
Step-by-step explanation:
To calculate the percentage discount between two prices, follow these steps:
- Subtract the post-discount price from the pre-discount price.
- Divide this new number by the pre-discount price.
- Multiply the resultant number by 100.
- Be proud of your mathematical abilities.
Solve for x over the real numbers using factor method:
10 x^2 + 19 x - 15 = 0
The left hand side factors into a product with two terms:
(2 x + 5) (5 x - 3) = 0
Split into two equations:
2 x + 5 = 0 or 5 x - 3 = 0
Subtract 5 from both sides:
2 x = -5 or 5 x - 3 = 0
Divide both sides by 2:
x = -5/2 or 5 x - 3 = 0
Add 3 to both sides:
x = -5/2 or 5 x = 3
Divide both sides by 5:
Answer: x = -5/2 or x = 3/5
4. We can estimate the price per pound by rounding 14.5 up to 15, and rounding $25.52 to to $26. We can estimate that the price per pound is around $1.73
5. The price per pound of the beans is $1.76. To find the unit rate, you divide the price by the amount of the item. 25.52/14.5 = 1.76
6. Jeff walked 4.2 hours in total. 8.84/3.4 = 2.6
2.6 + 1.6 = 4.2
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.
Answer:
x = 6
Step-by-step explanation:
18 - x = 12
-18 -18
-x = -6
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-1 -1
x = 6
