Answer:
12
Step-by-step explanation:
Answer:
m= -7/5
Step-by-step explanation:
(x1,y1)=(3,4)
(x2,y2)=(8, -3)
Use the slope formula:
m = y2 - y1
x2 - x1
(-3-4)/ (8-3)
= -7/5
Answer:
x = 9
Step-by-step explanation:
Simplifying
17x + -12 = 114 + 3x
Reorder the terms:
-12 + 17x = 114 + 3x
Solving
-12 + 17x = 114 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
-12 + 17x + -3x = 114 + 3x + -3x
Combine like terms: 17x + -3x = 14x
-12 + 14x = 114 + 3x + -3x
Combine like terms: 3x + -3x = 0
-12 + 14x = 114 + 0
-12 + 14x = 114
Add '12' to each side of the equation.
-12 + 12 + 14x = 114 + 12
Combine like terms: -12 + 12 = 0
0 + 14x = 114 + 12
14x = 114 + 12
Combine like terms: 114 + 12 = 126
14x = 126
Divide each side by '14'.
x = 9
Simplifying
x = 9
Explanation:
The sample mean is not always equal to the population mean but if we take more and more number of samples from the population then the mean of the sample would become equal to the population mean.
The Central Limit Theorem states that we can have a normal distribution of sample means even if the original population doesn't follow normal distribution, But we have to take a lot of samples.
Suppose a population doesn't follow normal distribution and is very skewed then we can still have sampling distribution that is completely normal if we take a lot of samples.
