The Smith family and the Jackson family are having their basements remodeled. The? Smith's contractor charges? $16.50 per hour p
2 answers:
Answer
Find out the At how many hours of work will the total cost be the same for both families .
To prove
Let us assume that the number of hours at which the total cost be the same for both families be x .
As given
Smith's family contractor charges $16.50 per hour plus $289 in supplies .
Jackson's family contractor charges $18.75 per hour and $274.60 in supplies.
Than the equation becomes
16.50x + 289 = 18.75x + 274.60
16.50x - 18.75x = 274.60 - 289
-2.25x = -14.4
x = 6.4 hours
Therefore in 6.4 hours of work will the total cost be the same for both families .
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Answer: (60.858, 69.142)
Step-by-step explanation:
The formula to find the confidence interval for mean :
, where
is the sample mean ,
is the population standard deviation , n is the sample size and
is the two-tailed test value for z.
Let x represents the time taken to mail products for all orders received at the office of this company.
As per given , we have
Confidence level : 95%
n= 62
sample mean : hours
Population standard deviation : hours
z-value for 93% confidence interval: [using z-value table]
Now, 93% confidence the mean time taken to mail products for all orders received at the office of this company :-
Thus , 93% confidence the mean time taken to mail products for all orders received at the office of this company : (60.858, 69.142)