Answer:
4
Step-by-step explanation:
The variance is the total of the squared distances of the given data from the mean.
This can be calculated through the equation,
σ² = summation of X² / N - μ²
where σ² is the variance X's are the data, N is the number of terms, and μ is the mean.
summation of X² = 100² + 100² + 120² + 120² + 180² = 81200
N = 5
μ = (100 + 100 + 120 + 120 + 180) / 5
μ = 124
Substituting these values to the equation for variance,
σ² = (81200/5) - 124² = 864
Thus, the variance is equal to 864.
Answer:
55
Step-by-step explanation:
To solve the expression, ![\sqrt[3]{\frac{n}{4}} + \frac{n}{10}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7Bn%7D%7B4%7D%7D%20%2B%20%5Cfrac%7Bn%7D%7B10%7D)
substitute n = 500 and simplify according to order of operations.
![\sqrt[3]{\frac{500}{4} } + \frac{500}{10}\\\\\sqrt[3]{125}+50\\ 5+50\\\\55](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B500%7D%7B4%7D%20%7D%20%2B%20%5Cfrac%7B500%7D%7B10%7D%5C%5C%5C%5C%5Csqrt%5B3%5D%7B125%7D%2B50%5C%5C%205%2B50%5C%5C%5C%5C55)
AB^2 + BC^2 = AC^2
AB^2 + 6^2 = square root 117^2
AB^2 + 36 = 117
Now subtract 117 from both sides
AB^2 = 81
AB = square root 81 = 9
Therefore AB is 9 cms.
In a triangular prism, B usually stand for the triangular base of the prism. It is the area of the triangle.
Area of a right triangle = ab/2
a = long leg ; b = short leg
Given measures are:
a = 4 yd ; b = 3 yd
A = (4 yd * 3 yd)/2 = 12 yd² / 2 = 6 yd² is the value of B.
the hypotenuse is 5 yd but it is not needed to get the area of the right triangle base. 7 yd is the measure of the height of the triangular prism.
