Tom the painter is painting window frames on a house. He knows that the angle his ladder should make with the ground should be b
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A1 = 4
a2 = 5a1 = 5 x 4 = 20
a3 = 5a2 = 5 x 20 = 100
a4 = 5a3 = 5 x 100 = 500
a5 = 5a4 = 5 x 500 = 2,500
Tn = ar^(n-1); where a = 4, r = 5
Tn = 4(5)^(n-1) = 4/5 (5)^n
Explicit formular is Tn = 4/5 (5)^n
Recursive formular is
a2 = 5a1 = 5 x 4 = 20
a3 = 5a2 = 5 x 20 = 100
a4 = 5a3 = 5 x 100 = 500
a5 = 5a4 = 5 x 500 = 2,500
Tn = ar^(n-1); where a = 4, r = 5
Tn = 4(5)^(n-1) = 4/5 (5)^n
Explicit formular is Tn = 4/5 (5)^n
Recursive formular is
In Cartesian coordinates, the region (call it ) is the set
In the plane , we have
which is a circle with radius . Then we can better describe the solid by
so that the volume is
While doable, it's easier to compute the volume in cylindrical coordinates.
Then we can describe in cylindrical coordinates by
so that the volume is
The given sample's confidence interval is 4.73 ± 0.1199, or from 4.61 to 4.85
<h3>What is the z score?</h3>The z-score is a numerical assessment of a value's connection to the mean of a set of values, expressed in terms of standards from the mean, that is used in statistics.
Given data;
Mean = 4.73
Standard deviation = 0.865
Sample size = 200
interval = 95%
Confidence interval=?
95% of samples contain the population mean (μ) within the confidence interval of 4.73 ± 0.1199.
Hence, the sample's confidence interval is 4.73 ± 0.1199, from 4.61 to 4.85
To learn more about the Z score, refer to;
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