Answer:
We conclude that:

Step-by-step explanation:
Given the equation

First, solve (x - 8)²
Apply Perfect Square formula: (a - b)² = a² - 2ab + b²



so the expression becomes

Add the numbers: 64+16=80
Therefore, we conclude that:

Answer:
1 is the value of x
Step-by-step explanation:
...............
Answer:
one
Step-by-step explanation:
The standard deviation of the sample proportion is:

The z-score for 0.7 is:

Reference to a standard normal distribution table shows that the probability that at least 70% of the sample prefers coke to pepsi is 0.8944 or 89.44%.
Answer:

Step-by-step explanation:
Given



Required
Determine the probability of selecting two fakes
The probability can be represented as thus: 
Using the following probability formula, we have:

Each probability is calculated by dividing number of fakes by total number of gems:

The minus 1 (-1) represent the numbers of fake and total gems left after the first selection




<em>Hence, the required probability is approximately 0.504</em>