Answer:
Simplify the expression.
Exact Form: -352/15
Decimal Form: -23.46
Mixed Number Form: -23 7/15
Step-by-step explanation:
For this case we have that the expression in its exact form is the same, that is:

If it is expressed in decimal form we have:

If we want equivalent expressions, we must first mention the following property of powers and roots:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
Then, we can rewrite the expression as:

Answer:

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:
150, 200, 300
Step-by-step explanation:
sum the parts of the ratio , 3 + 4 + 6 = 13 parts
divide the total by 13 to find the value of one part of the ratio
650 ÷ 13 = 50 ← value of 1 part of the ratio , then
3 parts = 3 × 50 = 150 ← number of sweets Cia gets
4 parts = 4 × 50 = 200 ← number of sweets Mia gets
6 parts = 6 × 50 = 300 ← number of sweets Tia gets