Answer: (29.35, 40.95)
Step-by-step explanation:
Formula to find the confidence interval for population mean :-
, where 
= sample mean.
z*= critical z-value
n= sample size.
= Population standard deviation.
As per given , we have
n= 37
Using z-table, the critical z-value for 95% confidence = z* = 1.96
Then, the confidence interval for the population mean will be :
Hence, a 95% confidence interval for the population mean = (29.35, 40.95)
Step-by-step explanation:
<4 and <5
<4 and <1
The angles in both the pairs are adjacent to each other and make 180° together
Answer:
10
Step-by-step explanation
The earthquake measures 6.4 on the Richter scale which struck Japan in Jullu 2007 and caused and extensive damage. Earlier that year, a minor earthquake measuring 3.1 in the Richter scale has stroked in parts of Pennsylvania.
Fomular:
The magnitude of an earthquake is M log(I/S)
where I donates the intensity of the earthquake and S be the intensity of the standard earthquake.
Calculation:
Consider that M1 be the magnitude Japanese earthquake and M2 be the magnitude of the Pennsylvania earthquake and L1 be the intensity of the Japanese earthquake and L2 the intensity of the Pennsylvania earthquake.
Here the magnitude of the Japanese earthquake is M1 = 6.14 and the magnitude of the Pennsylvania is M2 = 3.1
By the use of magnitude of the earthquake fomular M = log I1/S, the intensity of the Japanese earthquake is calculated as follows .
M1 = log I1/S
I1/s = 10
Answer:
y= -3x-16
Step-by-step explanation:
slope intercept form is written as y=mx+b. m is the slope, and b is the y-intercept. -3=m
we know that (-5,-1) is 5 points away from the origin, and that the slope is -3, so 5 times -3 equals -15. subtract 15 from -1 (y-coordinate) in order to get the y-intercept (when x=0).
So,
720 pt./hr.
2 pt. = 1 qt.
720/2 = 360
360 qt./hr.
Now, since there are 60 mins. in 1 hr., multiply the number by 60.
360(60) = 21600
720 pt./hr. = 21,600 qt./min.
