Answer:
For this case the confidence interval is given by :
Step-by-step explanation:
Data provided
represent the sample mean for the fuel efficiencies
population mean
s=2.51 represent the sample standard deviation
n=601 represent the sample size
Confidence interval
The formula for the confidence interval of the true mean is given by:
(1)
The degrees of freedom for this case is given by:
The Confidence level for this case is 0.95 or 95%, and the significance level 
and 
and the critical value is given by 
Replcing into the formula for the confidence interval is given by:
For this case the confidence interval is given by :
Answer:
3x - 13 +58 = 90, so 3x +45 = 90
Then 3x = 90 - 45 = 45 and x= 45/3 = 15.
m∠MNQ = 3x-13 = 3(15) - 13
= 45-13
= 32
Step-by-step explanation:
6z + 8 = 200
subtract 8 from each sides
6z + 8 - 8 = 200 - 8
simplify --> 6z = 192
6z/6 = 192/6
z = 32
Answer:
4times tall
Step-by-step explanation:
Volume of the boxes = Base area × height
Volume of the first box V1 = A1h1
Given the base of the first box to be 5cm, the base area:
A1 = 5cm×5cm = 25cm²
Volume of the first box V1 = 25h1... 1
Similarly, volume of the second box
V2 = A2h2
Given the base of the second box to be 10cm, the base area:
A2= 10cm×10cm = 100cm²
Volume of the second box
V2 = 100h2... 2
If the two boxes have the same volume, then V1 = V2
25h1 = 100h2
divide both sides by 25
25h1/25 = 100h2/25
h1 = 4h2
Since the height of the smaller box is represented as h1, then the height of the smaller base is 4 times tall.
