Answer:
The 90% confidence interval for the true mean natural gas bill for homes in the 19808 zip code area in February is between $292.48 and $331.32
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 21 - 1 = 20
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 20 degrees of freedom(y-axis) and a confidence level of 
. So we have T = 1.7247
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 311.9 - 19.42 = $292.48
The upper end of the interval is the sample mean added to M. So it is 311.9 + 19.42 = $331.32
The 90% confidence interval for the true mean natural gas bill for homes in the 19808 zip code area in February is between $292.48 and $331.32
Answer:
4,084
Step-by-step explanation:
Volume of a cylinder formula 
h = 13ft
r = 10ft (20/2)
Then you solve
Answer:
french
Step-by-step explanation:
convert both to percentage:
1. spanish:
2.French:
therefore Claire did better in the French test
Answer:
or 
Step-by-step explanation:
One is given the following equation:
The problem asks one to simplify the expression, the first step in solving this equation is to factor the equation. Rewrite the numerator and denominator of the fraction as the product of two expressions. Remember the factoring patterns:
Now simplify the numerator. Remember, taking the square root of a squared value is the same as taking the absolute value of the expression,
Rewrite the expression without the absolute value sign in the numerator. Remember the general rule for removing the absolute value sign:
or 
or 
Simplify both expressions, reduce by canceling out common terms in both the numerator and the denominator,
or
or 
Simplify further by rewriting the expression without the parenthesis, remember to distribute the sign outside the parenthesis by the terms inside of the parenthesis; note that negative times negative equals positive.
or
or
Answer:
MON= 57
Step-by-step explanation:
5x-23+3x-15=90
8x-38=90
8x=128
x=16
PLUG 16 INTO MON EQUATION
5(16)-23=57
therefore,
MON=57
USE COMPLEMENTARY FOR PROBLEMS LIKE THIS :)))
(btw, assuming that the angle is 90 degrees)
