Answer: The predicted difference in sleep is 1251437 minutes.
Step-by-step explanation:
Since we have given that
Number of years of education = 12 years
Number of minutes a week = 2000
As we have
In case of individual A:
7 days = 2000 minutes
1 year = 365 days = ![\dfrac{2000}{7}\times 365=104285](https://tex.z-dn.net/?f=%5Cdfrac%7B2000%7D%7B7%7D%5Ctimes%20365%3D104285)
12 years = ![104285\times 12=1251420\ minutes](https://tex.z-dn.net/?f=104285%5Ctimes%2012%3D1251420%5C%20minutes)
In case of individual B:
7 days = 3000 minutes
1 year = 365 days = ![\dfrac{3000}{7}\times 365=156428](https://tex.z-dn.net/?f=%5Cdfrac%7B3000%7D%7B7%7D%5Ctimes%20365%3D156428)
16 years =
minutes
So, the predicted difference in sleep between individuals A and B is given by
![2502857-1251420\\\\=1251437\ minutes](https://tex.z-dn.net/?f=2502857-1251420%5C%5C%5C%5C%3D1251437%5C%20minutes)
Hence, the predicted difference in sleep is 1251437 minutes.
Answer:
this question doesnt make sense as its like half of it
Answer:
77 Sq m
Step-by-step explanation:
Area of the shaded shape = Area of the rectangle with dimensions 14 m by 8m - Area of rectangle with dimensions ( 14 - 5 - 2=7) 7m by 5m.
= 14*8 - 7*5
= 112 - 35
= 77 Sq m
Answer:
D: 0 ≤ n ≤ 10
R: 10 ≤ f(n) ≤ 57.5
Step-by-step explanation:
got it right
Answer:
and
are parallel.
is neither parallel nor perpendicular.
Step-by-step explanation:
First, you have to simplify each equation in terms of y.
![y=\frac{3}{5} x+1\\5y=3x-2\\10x-6y=-4](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B5%7D%20x%2B1%5C%5C5y%3D3x-2%5C%5C10x-6y%3D-4)
Your first equation is already in terms of x, so simplify your second equation.
![5y=3x-2\\y=\frac{3}{5} x-\frac{2}{5}](https://tex.z-dn.net/?f=5y%3D3x-2%5C%5Cy%3D%5Cfrac%7B3%7D%7B5%7D%20x-%5Cfrac%7B2%7D%7B5%7D)
Now you can simplify your third equation.
![10x-6y=-4\\-6y=-10x-4\\y=\frac{5}{3} x+\frac{2}{3}](https://tex.z-dn.net/?f=10x-6y%3D-4%5C%5C-6y%3D-10x-4%5C%5Cy%3D%5Cfrac%7B5%7D%7B3%7D%20x%2B%5Cfrac%7B2%7D%7B3%7D)
These are your three equations in terms of y:
![y=\frac{3}{5} x+1\\\\y=\frac{3}{5} x-\frac{2}{5} \\\\y=\frac{5}{3} x+\frac{2}{3}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B5%7D%20x%2B1%5C%5C%5C%5Cy%3D%5Cfrac%7B3%7D%7B5%7D%20x-%5Cfrac%7B2%7D%7B5%7D%20%5C%5C%5C%5Cy%3D%5Cfrac%7B5%7D%7B3%7D%20x%2B%5Cfrac%7B2%7D%7B3%7D)
Now, all you have to know is how to tell using your slope if a line is parallel or perpendicular to another.
Two parallel lines will have the exact same slope.
Two perpendicular lines will have slopes which are opposite reciprocals. For example, a line with a slope of 2 is perpendicular to a line with a slope of
, as they have opposite signs and are reciprocal (2/1 versus 1/2) to each other.
Your first two equations have the same slope and are therefore parallel.
Your third equation is a reciprocal, but it is not opposite, and is therefore not parallel nor perpendicular.