Answer:

Step-by-step explanation:
Given:
The expression is given as:

The equivalent expression to the above expression is given as:

Now, simplifying the original expression using the law of indices:

So,
. The expression becomes:

Now,
is a common factor to both the terms, so we factor it out. This gives,

Now, on comparing the simplified form with the equivalent expression, we conclude:

Therefore, the value of 'A' is 
Answer:
6.5
Step-by-step explanation:
If M is the midpoint of PQ, PM is congruent to MQ. Midpoint means middle. So, the midpoint divides PQ in half. PQ = 13, and 13/2 = 6.5.
Answer:
The confidence interval for this case would be (216.589, 223.411)
Step-by-step explanation:
Information given
represent the sample mean
population mean
s=12 represent the sample standard deviation
n=50 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
(1)
The degrees of freedom are given by:
The Confidence level is 0.95 or 95%, the significance is
and
, the critical value for this case is
And replacing we got:
The confidence interval for this case would be (216.589, 223.411)
$3.89g=c
$3.89•11=c
$42.79=c
$42.79 for 11 gallons of gas