Answer:
1.2
Step-by-step explanation:
Since (3 + 6 + 4 + x + 7)/5 = 5, then 3 + 6 + 4 + x + 7 equals 25. Adding, we have 20 + x = 25. Thus x = 5. Now we calculate how far each number is from the mean. 3 is 2 away. 6 is 1 away. 4 is also 1 away. 5 is 0 away, and 7 is 2 away. Now, we have to find the mean of this. (2 + 1 + 1 + 0 + 2 ) / 5 is equal to 6/5, which is 1.2
Answer:
40) w = 32/3
41) x = 23/4
42) w = 1/12
Step-by-step explanation:
40) Real world problem:
If Lisa takes
of the pie from a total of
slices, then the remaining pie is
. Find w.
So, the equation would become:
![$ w - 7 \frac{3}{8} = 3 \frac{7}{24} $](https://tex.z-dn.net/?f=%24%20w%20-%207%20%5Cfrac%7B3%7D%7B8%7D%20%3D%203%20%5Cfrac%7B7%7D%7B24%7D%20%24)
![$ \implies w = 3 \frac{7}{24} + 7 \frac{3}{8} $](https://tex.z-dn.net/?f=%24%20%5Cimplies%20w%20%3D%203%20%5Cfrac%7B7%7D%7B24%7D%20%2B%207%20%5Cfrac%7B3%7D%7B8%7D%20%24)
This can be written as:
![$ w = 3 + \frac{7}{24} + 7 + \frac{3}{8} $](https://tex.z-dn.net/?f=%24%20w%20%3D%203%20%2B%20%5Cfrac%7B7%7D%7B24%7D%20%2B%207%20%2B%20%5Cfrac%7B3%7D%7B8%7D%20%24)
This is equivalent to ![$ 3 + \frac{7}{24} + 7 + \frac{9}{24} $](https://tex.z-dn.net/?f=%24%203%20%2B%20%5Cfrac%7B7%7D%7B24%7D%20%2B%207%20%2B%20%5Cfrac%7B9%7D%7B24%7D%20%24)
Since, the denominator is the same, the numerators can be added now.
![$ \implies w = 10 + \frac{16}{24} $](https://tex.z-dn.net/?f=%24%20%5Cimplies%20%20w%20%3D%2010%20%2B%20%5Cfrac%7B16%7D%7B24%7D%20%24)
![$ \implies w = 10 + \frac{2}{3} $](https://tex.z-dn.net/?f=%24%20%5Cimplies%20w%20%3D%2010%20%2B%20%5Cfrac%7B2%7D%7B3%7D%20%24)
![$ i.e., w = 10 \frac{2}{3} = \frac{32}{3} $](https://tex.z-dn.net/?f=%24%20i.e.%2C%20w%20%3D%2010%20%5Cfrac%7B2%7D%7B3%7D%20%3D%20%5Cfrac%7B32%7D%7B3%7D%20%24)
Hence, the answer is 32/3.
41) The given equation is: ![$ 2 \frac{1}{2} + x = 8\frac{1}{4} $](https://tex.z-dn.net/?f=%24%202%20%5Cfrac%7B1%7D%7B2%7D%20%2B%20x%20%3D%208%5Cfrac%7B1%7D%7B4%7D%20%24)
and
![$ 8 \frac{1}{4} = \frac{33}{4} $](https://tex.z-dn.net/?f=%24%208%20%5Cfrac%7B1%7D%7B4%7D%20%3D%20%5Cfrac%7B33%7D%7B4%7D%20%24)
So, ![$ x = \frac{33}{4} - \frac{10}{4} $](https://tex.z-dn.net/?f=%24%20x%20%3D%20%5Cfrac%7B33%7D%7B4%7D%20-%20%5Cfrac%7B10%7D%7B4%7D%20%24)
![$ \implies x = \frac{23}{4} $](https://tex.z-dn.net/?f=%24%20%5Cimplies%20x%20%3D%20%5Cfrac%7B23%7D%7B4%7D%20%24)
The answer is 23/4.
42) The given equation is ![$ w - \frac{1}{3} = \frac{5}{12}](https://tex.z-dn.net/?f=%24%20w%20-%20%5Cfrac%7B1%7D%7B3%7D%20%20%3D%20%5Cfrac%7B5%7D%7B12%7D)
![$ \implies w = \frac{5}{12} - \frac{1}{3} $](https://tex.z-dn.net/?f=%24%20%5Cimplies%20w%20%3D%20%5Cfrac%7B5%7D%7B12%7D%20-%20%5Cfrac%7B1%7D%7B3%7D%20%24)
![$ w = \frac{5}{12} - \frac{4}{12} $](https://tex.z-dn.net/?f=%24%20w%20%3D%20%5Cfrac%7B5%7D%7B12%7D%20-%20%5Cfrac%7B4%7D%7B12%7D%20%24)
![$ w = \frac{1}{12} $](https://tex.z-dn.net/?f=%24%20w%20%3D%20%5Cfrac%7B1%7D%7B12%7D%20%24)
The answer is 1/12.
An interger may be +460 because profit means to increase. So the answer is +460.
~JZ
Answer:
B
Step-by-step explanation:
The area of the triangle is half the base time the height. The height is y sub 1. The length is the distance between the x values.