What is 24 divided by 1.7
2 answers:
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Answer:
Therefore the 95% confidence interval is (25,707.480 < E < 26,744.920)
Step-by-step explanation:
n = 77
mean u = 26,226.2 bushels per acre
standard deviation s = 2,322.32
let E = true mean
let A = test statistic
Find 95% Confidence Interval
so
let A = (u - E) * ( / s) be the test statistic
we want P( average_l < A < average_u ) = 95%
look for lower 2.5% and the upper 97.5% Because I think this is a 2-tail test
average_l = -1.96 which corresponds to the 2.5%
average_u = 1.96
P( -1.96 < A < 1.96) = 95%
P( -1.96 < (u - E) * ( / s) < 1.96) = 95%
Solve for the true mean E ok
E < u + 1.96* (s / )
from -1.96 < (u - E) * ( / s)
E < 26,226.2 + 1.96*( 2,322.32 / )
E < 26,226.2 + 1.96*( 2,322.32 / )
E < 26,226.2 + 518.7197348105429466
upper bound is 26,744.9197
or
u - 1.96* (s / ) < E
26,226.2 - 518.7197348105429466 < E
25,707.48026519 < E
lower bound is 25,707.48026519
Therefore the 95% confidence interval is (25,707.480 < E < 26,744.920)
Answer:
a. What is the name of the 3D shape?
The name of the 3D shape is Prism
b. What is the formula for total surface area for this shape?
Total surface area:
c. What is the surface area of the figure?
The surface area of the figure is 144 cm²
Step-by-step explanation:
a. What is the name of the 3D shape?
The 3D shape has two congruent and parallel faces (triangles) and the other faces are parallelograms, then the 3D shape is a prism
b. What is the formula for total surface area for this shape?
Total Surface area:
where:
Area of the base of the prism: Ab
Perimeter of the base: Pb
Height of the prism: h
c. What is the surface area of the figure?
The base of the prism is a triangle. Then to calculate the area of the base, we must use the formula to calculate the area of a triangle:
The perimeter of the base is the perimeter of the triangle, equal to the sum of the sides of the triangle:
h: Height of the prism is the distance between the bases of the prism (the triangle), then h=11 cm
Then, replacing in the formula the known values: