Answer:
1. Communitave property
2. communitave property
3.
1. distribute 2 to x and 10 to get ride of parenthesis
2. subtract 2x from the left to move it to the right so x is by itself
3. add 15 to both sides to cancel it out on one side, and move to the other.
4. divide by 5 on both sides so you can get the value of x
5. flip equation so it is in the x equals form
4.
1. distribute 2 to the x and positive 3 on the left side, also distribute -4 to both x and -1 , to get rid of our parenthesis.
2. add 4x to both sides so it cancels out on one side and moves to the other ( our xs and numbers need to be on opposite sides)
3. subtract 4 on the left side to move it to the right side because again numbers on the right and letters on the left
4. divide by 6 on both sides of the equation to solve for x
Answer:

Step-by-step explanation:
Since the population standard deviation
is unknown, and the sample standard deviation
, must replace it, the
distribution must be used for the confidence interval.
The sample size is n=8.
The degree of freedom is
,
.
With 95% confidence level, the
(significance level) is 5%.
Hence with 7 degrees of freedom,
. (Read from the t-distribution table see attachment)
The 95% confidence interval can be found by using the formula:
.
The sample mean is
hours.
The sample sample standard deviation is
hours.
We now substitute all these values into the formula to obtain:
.

We are 95% confident that the population mean is between 26.12 and 31.48 hours.
Answer:
11 years
Step-by-step explanation:
we know that
The formula to calculate the depreciated value is equal to
where
V is the depreciated value
P is the original value
r is the rate of depreciation in decimal
x is Number of Time Periods
in this problem we have
substitute in the formula
Apply log both sides

B is yes and the rest are no. B is the only solution where y equals 1.
The meaning of it is this:
below 0 is stating negatives which are even smaller than zero