M + w + c = 2838
w = 3c + 5
m = 4w - 3......4(3c + 5)- 3 = 12c + 20 - 3 = 12c + 17
(12c + 17) + (3c + 5) + c = 2838 .....combine like terms
16c + 22 = 2838
16c = 2838 - 22
16c = 2816
c = 2816/16
c = 176 <==== children
w = 3c + 5
w = 3(176) + 5
w = 533 <=== women
m = 12c + 17
m = 12(176) + 17
m = 2129 <=== men
To compute the mean, you simply have to sum all the elments in the data set and the divide the sum by the number of elements:
To compute the variance, we first need to compute the distance of each element from the mean. To do so, we build a "parallel" dataset, given by the difference of every value and the mean:
Now we need those difference squared:
The variance is the mean of this new vector, so
Finally, the standard deviation is simply the square root of the variance, so you have
Answer:
x-intercept: (3, 0)
y-intercept: (0, -10)
Step-by-step explanation:
<u>X-intercept:</u>
We can see that the line crosses the x-axis at the 3. Let's imagine that this automatically makes a point. If the point is directly on the line, that means that the opposite coordinate (in this case, the y-coordinate) will be 0. This is because the point is directly at the 0 on the y-axis; it doesn't go up nor down.
<u>Y-intercept:</u>
The same goes for the opposite coordinate: if we picture a point at where the line intercepts the y-axis, there will be a point at -10 on the y-axis. Since the point is directly at 0 on the x-axis (meaning that it doesn't go left nor right) we know that the x-coordinate will be 0.
An hour and 15 minutes. Since Joe is driving 20 miles per 1/2 hour that means he is driving 40 miles every hour. We still have 10 miles left and since 20 divided by 2 is ten you would simply cut the time it takes him to drive 20 miles in half making 15 minutes. Then you add the time it takes to drive 40 miles and 10 miles and that's how you get an hour and 15 minutes. Hope this made sense!
