5 } After a dilation with center (0,0), the image of DB is D'B'. I DB = 4.5 and D'B' = 18, the scale factor of this dilation is
(1) (3) 4 (2) 5
1 answer:
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In this case we do not know for how long have they worked. But lets assume that they both will fix the car in an hour.
Case 1: Lets talk about Abe first.
Abe will charge $70.00 per hour plus a part which costs $130.00.
Now, the total cost to be paid to Abe to fix the car is dollars.
So we will have to pay $200.00 to Abe to fix the car.
Case 2: Lets talk about Gabe now,
Gabe can fix it for $80 an hour and finds the part just for $60.
Now, the total cost to be paid to Gabe to fix the car is dollars.
So we will have to pay $120.00 to Gabe.
Considering the two cases above we can ask Gabe to fix our car but there is another case.
Case 3: What if Abe finds a part for $60.00 rather $130.00
In that case, we will have to pay dollars in total to Abe.
Now, we need to pay $130.00 to Abe to fix the car.
Still we can see that we need to pay $10.00 less to Gabe so will ask Gabe to fix the car (since ).
Answer:
So on this case the 95% confidence interval would be given by (144847.94;155152.06)
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
represent the sample mean
population mean (variable of interest)
s=15000 represent the sample standard deviation
n=35 represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
In order to calculate the critical value we need to find first the degrees of freedom, given by:
Since the Confidence is 0.95 or 95%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,34)".And we see that
Now we have everything in order to replace into formula (1):
So on this case the 95% confidence interval would be given by (144847.94;155152.06)