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Genrish500 [490]
4 years ago
7

Points A, B, C, and D lie on a line consecutively so that AB = BC = CD = 6 in. Find the distance between the midpoints of segmen

ts AB and CD . Answer: Distance between midpoints is in
Mathematics
1 answer:
solmaris [256]4 years ago
7 0

Answer: 12 inches

Step-by-step explanation:

Given that :

Points A, B, C, and D lie on a line consecutively so that AB = BC = CD = 6 in

Therefore, A, B, C and D lie on a line which has a distance of 6 inches between each consecutive point.

A could be taken as the starting point with and D taken the end of the line with B and C in between them.

For instance:

A = 6; B = 12 ; C = 18 ; D = 24

Midpoint of AB = (12 + 6) / 2 = 18/2 = 9

Midpoint of CD = (18 + 24) / 2 = 42/2 = 21

Distance between the Midpoint AB and CD equals:

Midpoint CD - Midpoint AB

(21 - 9) inches = 12 inches

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A hypothesis test for single mean can be performed to determine whether the average starting salary for a 21-25 year old college grad exceeds $52,000 per year.

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<em>H₀</em>: The average starting salary for a 21-25 year old college grad does not exceeds $52,000 per year, i.e. <em>µ</em> ≤ 52,000.

<em>Hₐ</em>: The average starting salary for a 21-25 year old college grad exceeds $52,000 per year, i.e. <em>µ</em> > 52,000.

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Here, we need to compute the value of significance level <em>α</em>, the type I error probability.

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*Use a <em>z</em>-table for the probability.

Thus, the significance level α is 0.02.

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