<span>In order to find the standard deviation, we first have to calculate the mean (average) of the numbers. To get this we add all the numbers together and then divide by 12 since there are 12 numbers. The mean = 782. Next, we take each number and subtract the mean, taking the result and squaring it. For this we get: 6724, 2209, 10404, 11664, 729, 1764, 12544, 9, 529, 71824, 1444, 1024. Now we sum all of these up and take the average by dividing the sum by 12. Doing this we get 120868/12=10072. The last step is the take the square root of that number to get the standard deviation. The final result is 100.</span>
Hello There!
<u><em>n - d = 0</em></u>
<u><em>5n+10d = 90</em></u>
<u><em>----------------------</em></u>
<u><em>n-d = 0</em></u>
<u><em>n+2d = 18</em></u>
<u><em>-------------------</em></u>
<u><em>Subtract and solve for "d":</em></u>
<u><em>3d = 18</em></u>
<u><em>d = 6 (# of dimes)</em></u>
<u><em>n = d = 6 (# of nickels)</em></u>
Simplified answer is: 13x - 15
Dividing two decimals means that we need to make the following math operation:
According to the following definition:
We can prove that our result is correct by multiplying the divisor by the quotient plus the reminder and verifying that this result matches the dividend. Also, we can use a calculator to prove that.
Answer:
5y - 6x = 53
Step-by-step explanation:
Given the segment with endpoints M(−3, 7) and N(9, −3), let us find the slope first
m = y2-y1/x2-x1
m = -3-7/9-(-3)
m = -10/12
m = -5/6
Since the unknown line forms a perpendicular bisector, the slope of the unknown line will be:
m = -1/(-5/6)
m = 6/5
To get the intercept of the line, we will substitute m = 6/5 and any point on the line say (-3, 7) into the equation y = mx+c
7 = 6/5 (-3)+c
7 = -18/5 + c
c = 7 + 18/5
c = (35+18)/5
c = 53/5
Substitute m = 6/5 and c = 53/5
y = 6/5 x + 53/5
multiply through by 5
5y = 6x + 53
5y - 6x = 53
hence the point-slope equation of the perpendicular bisector is 5y - 6x = 53
