Raw milk is stored at a dairy farm in a refrigerated cylindrical vat 6.50 feet wide and 12.5 feet high. You measure the level of
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Answer:
The 99% confidence interval for the mean peak power after training is [299.4, 330.6]
Step-by-step explanation:
We have to construct a 99% confidence interval for the mean.
A sample of n=7 males is taken. We know the sample mean = 315 watts and the sample standard deviation = 16 watts.
For a 99% confidence interval, the value of z is z=2.58.
We can calculate the confidence interval as:
The 99% confidence interval for the mean peak power after training is [299.4, 330.6]
Answer:
Rotation of triangle A across a point (1.5, -0.5) by 180°.
Step-by-step explanation:
Translation of a figure about a vector means translation of a figure by 3 units to the left on x-axis and 1 unit in the positive direction of the y-axis.
Rule for the translation will be,
(x, y) → [(x - 3), (y + 1)]
From the figure attached,
Vertices of the triangle A are A(1, -1), B(1, -4) and C(3, -4)
After translation new image points will be A'(-2, 0), B'(-2, -3), C'(0, -3).
After rotation of these image points 180° about the origin will be,
Rule for the rotation,
(x, y) → (-x, -y)
A'(-2, 0) → A"(2, 0)
B'(-2, -3) → B"(2, 3)
C'(0, -3) → C"(0, 3)
Therefore, A(1, -1) → A"(2, 0) is the single transformation.
Rule for this transformation which maps triangle C to A will be defined by,
Rotation of triangle A across a point (1.5, -0.5) by 180°.
