Side MN = 6, side OM = 9, side PQ = 6, and side RP = 9. What side corresponds to side NO and can be used to show that ΔMNO ≅ ΔPQ
2 answers:
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Solution :
The sample proportion
= 0.024
<u>90% confidence interval </u>
The standard deviation =
=
= 0.00484
z = 1.645 for 90% CI
Upper band = 0.024 + (0.00484 x 1.645 ) = 0.03196
Lower band = 0.024 - (0.00484 x 1.645 ) = 0.01603
Therefore, the 90% CI is (0.016, 0.032)
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<u>99% confidence interval </u>
z = 2.576 for 99% CI
Upper band = 0.024 + (2.576 x 0.00484 ) = 0.0365
Lower band = 0.024 - (2.576 x 0.00484 ) = -0.0115
Therefore, the 99% CI is (0.0115, 0.0365)
Given:
The track is a square with a half circle on its left and right sides.
The area of the square is 128 square feet.
To find:
The length of the track.
Solution:
Let side length of the square be x.
Area of square is
Taking square root on both sides.
From the given table 127.7 is closed to 128. So, is 11.3.
Diameter of circle = Side of square = 11.3.
The track has 2 sides of the square and the distance around 1 complete circle(s).
Radius of circle is
Length of the truck is sum of length of square and radii of two circles.
Therefore, the total length of the truck is 22.6 feet.
