Step-by-step explanation:
(x^2+1/2)^2=(x^2)^2+2*x^2*1/2+(1/2)^2=
x^4+(2x^2)/2+1/4=
x^4+x^2+1/4
Answer:
The length is 25 units and the width is 11 units
Step-by-step explanation:
Let the length of the rectangle be l.
Let the width of the rectangle be w.
We are given that the length of the rectangle is three times more than twice its width. This means that:
l = 3 + 2w
The perimeter of a triangle is given as:
P = 2(l + w)
This implies that:
P = 2[(3 + 2w) + w]
P = 2(3 + 3w)
We can use this to find the width of the rectangle and then the length.
The perimeter of the rectangle is 72 units.
Therefore:
72 = 2(3 + 3w)
72 = 6 + 6w
=> 6w = 72 - 6 = 66
w = 66 / 6 = 11 units
The length, l, is therefore:
l = 3 + 2(11) = 3 + 22 = 25 units
Step-by-step explanation:
Answer:
A) Average weight = 112.97
standard deviation = 3.913
B) 119.4069
Step-by-step explanation:
A) Estimate the true average weight and standard deviation of the weight
attached below is a detailed solution
Average weight = 112.97
standard deviation = 3.913
B) Assuming a normal distribution Estimate the weight below
attached below is a detailed solution
= 119.4069
