Answer: The mean is 49.
Step-by-step explanation:
First add up all the numbers.
48 + 51 + 48 + 48 + 50 = 245
Then divide 245 by the amount of numbers are in your data (there are five numbers).
245 ÷ 5 = 49
Given the expression:
![\displaystyle \large{ \sqrt[3]{ - 125} }](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7B%20%5Csqrt%5B3%5D%7B%20-%20125%7D%20%7D)
Definition:
![\displaystyle \large{ y = \begin{cases} \pm \sqrt[n]{x} \longrightarrow n = (2,4,6,8,...) \: \: (x \geqslant 0) \\ \sqrt[n]{x}\longrightarrow n = (1,3,5,7,...) \: \: (x \in \R) \end{cases}}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7B%20y%20%20%3D%20%5Cbegin%7Bcases%7D%20%20%20%5Cpm%20%5Csqrt%5Bn%5D%7Bx%7D%20%20%5Clongrightarrow%20n%20%20%3D%20%282%2C4%2C6%2C8%2C...%29%20%20%5C%3A%20%20%5C%3A%20%28x%20%5Cgeqslant%200%29%20%5C%5C%20%20%20%5Csqrt%5Bn%5D%7Bx%7D%5Clongrightarrow%20n%20%3D%20%281%2C3%2C5%2C7%2C...%29%20%5C%3A%20%20%5C%3A%20%28x%20%5Cin%20%5CR%29%20%5Cend%7Bcases%7D%7D)
First, factor the -125. -125 comes from (-5)×(-5)×(-5) or (-5)^3.
![\displaystyle \large{ \sqrt[3]{ ( - 5) \times ( - 5) \times ( - 5)} }](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7B%20%5Csqrt%5B3%5D%7B%20%28%20-%205%29%20%5Ctimes%20%28%20-%205%29%20%5Ctimes%20%28%20-%205%29%7D%20%7D)
Because if (-5)^2 = 25 then 25×(-5) again will be -125.
Since this is the cube root, we have to pull out 3 terms in one. There are 3 fives that we can take off and therefore,
Answer:
The integers are 88, 89 and 90.
Step-by-step explanation:
The integers can be represented by x, x+1 and x+2.
x + x + 1 + x + 2 = 267
3x + 3 = 267
3x = 264
x = 88
The answer is p = 5.
Here are the steps I did.
1. Simplify 8p + 10p - p - 8p + 5 to 9p + 5 ( 9p + 5 = 50)
2. Subtract 5 from both sides ( 9p = 50 - 5)
3. Simplify 50 - 5 to 45 ( 9p = 45)
4. Divide both sides by 9 ( 45/9)
5. Simplify 45/9 to 5 ( p = 5)
Answer:
2
Step-by-step explanation:
