Answer:
The confidence interval for this case would be (216.589, 223.411)
Step-by-step explanation:
Information given
represent the sample mean
population mean
s=12 represent the sample standard deviation
n=50 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
(1)
The degrees of freedom are given by:
The Confidence level is 0.95 or 95%, the significance is
and
, the critical value for this case is
And replacing we got:
The confidence interval for this case would be (216.589, 223.411)
Answer:
x=c+b/a
Step-by-step explanation:
ax-b=c
+b +b
ax=c+b
__ ___
a=c+b/a
Answer:

Step-by-step explanation:
Given that the angles A, B, C in a Triangle form an arithmetic sequence where A=23 degrees.
The nth term of an Arithmetic sequence is given by the formula: 
Where:
a=first term
n=number of term
d=common difference
In this case,


The sum of angles in a triangle is 180 degrees. Therefore:
∠A+∠B+∠C=180 degrees

Therefore:
Angle C,

Step-by-step explanation:
the easiest way to answer this is to calculate the area of the large rectangle (white) and subtract the area of the small rectangular (black).
we know the dimensions of the small rectangle : 10×6
and because of the 2m thick "frame" we know the dimensions of the large rectangle by adding 2×2 m to every small dimension : 14×10
(2 m on the top and the bottom, and 2 m left and right, so 4 m added in every direction).
the area of the large rectangle is
14 m × 10 m = 140 m²
the area of the small rectangle is
10 m × 6 m = 60 m²
so the area of the path is
140 - 60 = 80 m²
Answer:
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Step-by-step explanation: