Any value which is more than 2 standard deviations away from the mean is considered to be "unusual."
2 standard deviations above the mean 52.4 mp would be 52.4+2(1.8), or 56; 2 std devs below the mean would be 52.4 - 2(1.8), or 48.8. Thus, any value larger than 56 or any value smaller than 48.8 would be "unusual."
54.8, 49.1 and 51.3 are not unusual; 56.5 is unusual, because it's greaster than 56.
Answer:
w=25/4=6.50
Step-by-step explanation:
Answer:
B. 4 squared
Step-by-step explanation:
You have to use PEMDAS. The first one is P for parenthesis, that is the first operation you have to do.
Answer:
--- length
--- width
Step-by-step explanation:
Given
--- perimeter
--- area
Required
The dimension of the farm
Let
![l \to length; w \to width](https://tex.z-dn.net/?f=l%20%5Cto%20length%3B%20w%20%5Cto%20width)
So:
--- perimeter
![2(l+w)=200](https://tex.z-dn.net/?f=2%28l%2Bw%29%3D200)
Divide by 2
![l+w=100](https://tex.z-dn.net/?f=l%2Bw%3D100)
Make l the subject
![l = 100 - w](https://tex.z-dn.net/?f=l%20%3D%20100%20-%20w)
Also:
--- area
![l * w = 2475](https://tex.z-dn.net/?f=l%20%2A%20w%20%3D%202475)
Substitute: ![l = 100 - w](https://tex.z-dn.net/?f=l%20%3D%20100%20-%20w)
![(100 - w) * w = 2475](https://tex.z-dn.net/?f=%28100%20-%20w%29%20%2A%20w%20%3D%202475)
Open bracket
![100w - w^2 = 2475](https://tex.z-dn.net/?f=100w%20-%20w%5E2%20%3D%202475)
Rewrite as:
![w^2 - 100w +2475 = 0](https://tex.z-dn.net/?f=w%5E2%20-%20100w%20%2B2475%20%3D%200)
![w^2 - 45w - 55w +2475 = 0](https://tex.z-dn.net/?f=w%5E2%20-%2045w%20-%2055w%20%2B2475%20%3D%200)
Factorize
![w(w - 45) - 55(w -45) = 0](https://tex.z-dn.net/?f=w%28w%20-%2045%29%20-%2055%28w%20-45%29%20%3D%200)
Factor out w - 45
![(w - 55)(w -45) = 0](https://tex.z-dn.net/?f=%28w%20-%2055%29%28w%20-45%29%20%3D%200)
Take any one of the expression and solve for w
![w -55 = 0](https://tex.z-dn.net/?f=w%20-55%20%3D%200)
![w = 55](https://tex.z-dn.net/?f=w%20%3D%2055)
Recall that: ![l = 100 - w](https://tex.z-dn.net/?f=l%20%3D%20100%20-%20w)
![l =100 - 55](https://tex.z-dn.net/?f=l%20%3D100%20-%2055)
![l =45](https://tex.z-dn.net/?f=l%20%3D45)