Answer:
Yes, because m<UVW is congruent to m<XVY and m<VUW is congruent to m<VXY
Step-by-step explanation:
Answer:
44.80
9.27
Step-by-step explanation:
From the data:
Midpoint (x) : __ 25 _ 35 _ 45 _ 55 _ 65
Frequency (f) : _ 1 __ 15 __ 22 _ 8 __ 4
The mean (m):
Σfx / Σf
[(25 * 1) + (35* 15) + (45 * 22) + (55 * 8) + (65 * 4)] / (1 + 15 + 22 + 8 + 4)
= 2240 / 50
= 44.80
Standard deviation :
Sqrt[(Σ(X² * f) / Σf) - m²)]
[(25^2 * 1) + (35^2 * 15) + (45^2 * 22) + (55^2 * 8) + (65^2 * 4)] / (1 + 15 + 22 + 8 + 4)
(104650 / 50) - (44.80²)
1908.51 - 44.80^2
2093 - 2007.04
Sqrt(85.96)
= 9.27
Step-by-step explanation:
Take the first derivative


Set the derivative equal to 0.




or

For any number less than -1, the derivative function will have a Positve number thus a Positve slope for f(x).
For any number, between -1 and 1, the derivative slope will have a negative , thus a negative slope.
Since we are going to Positve to negative slope, we have a local max at x=-1
Plug in -1 for x into the original function

So the local max is 2 and occurs at x=-1,
For any number greater than 1, we have a Positve number for the derivative function we have a Positve slope.
Since we are going to decreasing to increasing, we have minimum at x=1,
Plug in 1 for x into original function


So the local min occurs at -2, at x=1
Answer:
...80u9
Step-by-step explanation: Rank me brain list or thanks it if this helps:) Hope it helps!