Answer:
n = 9
Step-by-step explanation:
Using index laws, multiply 3 into 3 to get 9
(x3)^3 = x^n
x^9 = x^n
9 = n
Answer: 0) 0.22
1) 0.20
2) 0.12
3) 0.14
4) 0.28
5) 0.04
<u>Step-by-step explanation:</u>
The total frequency is 33+30+18+21+42+6 = 150. This means they ran the experiment 150 times. The probability (P) is calculated by the satisfactory number of outcomes (frequency) divided by the total number of experiments/outcomes (total frequency):
![\begin{array}{c|c||lc}\underline{x}&\underline{f}&\underline{f\div 150}&\underline{\text{P}}\\0&33&33\div 150=&0.22\\1&30&30\div150=&0.20\\2&18&18\div 150=&0.12\\3&21&21\div 150=&0.14\\4&42&42\div 150=&0.28\\5&6&6\div 150=&0.04\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bc%7Cc%7C%7Clc%7D%5Cunderline%7Bx%7D%26%5Cunderline%7Bf%7D%26%5Cunderline%7Bf%5Cdiv%20150%7D%26%5Cunderline%7B%5Ctext%7BP%7D%7D%5C%5C0%2633%2633%5Cdiv%20150%3D%260.22%5C%5C1%2630%2630%5Cdiv150%3D%260.20%5C%5C2%2618%2618%5Cdiv%20150%3D%260.12%5C%5C3%2621%2621%5Cdiv%20150%3D%260.14%5C%5C4%2642%2642%5Cdiv%20150%3D%260.28%5C%5C5%266%266%5Cdiv%20150%3D%260.04%5Cend%7Barray%7D%5Cright%5D)