9514 1404 393
Answer:
x = 7
Step-by-step explanation:
You solve a linear equation by putting the variable on one side of the equal sign and a constant on the other side. Here, variables and constants are on both sides of the equal sign, so you need to separate them.
The basic idea is that you add the opposite of any term you don't want. Whenever you perform any operation (like "add"), <em>you must do it to both sides of the equation</em>.
We observe that x-terms have coefficients of 10 and 9. We choose to add the opposite of 9x to both sides:
10 -9x -5 = 9x -9x +2
x -5 = 2 . . . . simplify
Now, we still have -5 on the left, where we don't want it. So, we add its opposite (+5) to both sides:
x -5 +5 = 2 +5
x = 7 . . . . simplify
The solution is x = 7.
_____
<em>Additional comment</em>
If we were to end up with an x-coefficient other than 1, we would divide both sides of the equation by that coefficient. This will leave the x-term with a coefficient of 1.
Answer:
Any fraction
Step-by-step explanation:
Example:
(2/3)² = 4/9
2/3 > 4/9
No because 11/12 is not even a whole number, whereas 2 1/3 (ok so not a whole number but above a whole number) is.
Answer:
First One = 0.000045 Second One = 0.024
Step-by-step explanation:
When 10 has a negative power, move the decimal to the right the number of times the power is. For example, 10^-5 is moved 5 places to the LEFT, so it is 0.000045.
Using the <u>Central Limit Theorem</u>, the statement is false, as for the averages of the data values for a sample group, the standard error is
, hence, the formula is:

While for a single value, it is:

In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:

- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
Hence, the formulas are different, and for an average of the data values for a sample group it is:

A similar problem is given at brainly.com/question/24663213