Find the mean of the following data: 10, 16, 15, 14, 8, 21, 10, 5, 19, 18, 4, 5, 16, 12, 10, 9
Evgesh-ka [11]
Answer:
12
Step-by-step explanation:
add all them together, then divide by the amt. of numbers there are.
5n-2=n+18
Move n to the other side
Sign changes from +n to -n
5n-n-2= n-n+18
5n-n-2= 18
4n-2= 18
Move -2 to the other side
Sign changes from -2 to +2
4n-2+2= 18+2
4n= 18+2
4n= 20
Divide by 4 for both sides
4n/4= 20/4
Answer: n=5
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (3, 1), hence
y = a(x - 3)² + 1
To find a substitute (- 2, - 4) into the equation
- 4 = a(- 2 - 3)² + 1
- 4 = 25a + 1 ( subtract 1 from both sides )
25a = - 5 ( divide both sides by 25 )
a = -
= - 
y = -
(x - 3)² + 1 ← in vertex form
Hey!
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First, find the slope.
y2-y1/x2-x1
-20-(-5)/21-16
-15/5
-3
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Second, find the y-intercept.
We can solve for b with one of the points.
Put into slope-intercept form,
y = -3x + b
Substitute x and y with (16, -5)
-5 = -3(16) + b
-5 = -48 + b
-5 + 48 = -48 + b + 48
43 = b
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Third, put in slope-intercept form.
y = mx + b
m = slope
b = y-intercept
y = -3x + 43
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Hope This Helped! Good Luck!
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