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AysviL [449]
3 years ago
6

How much fencing does she need to buy

Mathematics
1 answer:
kati45 [8]3 years ago
4 0

Its is surprising that no one attempted this question for over a week.

As in all geometry problems, start with a diagram (shown).

Then we realize right away that AB=sqrt(8^2+2^2)=sqrt(68)=2sqrt(17)

BC=sqrt(4^2+1^2)=sqrt(17)

The perimeter is therefore twice the sum of AB+BC=2(2sqrt(17)+sqrt(17))

2(3sqrt(17))=6 sqrt(17) We can estimate sqrt(17)=4.125, so 6sqrt(17)=24.75 which is close enough to get the correct answer choice.

Have a good day.

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A national consumer agency selected independent random samples of 45 owners of newer cars (less than five years old) and 40 owne
Igoryamba

Answer:

(195 - 286) ± 1.992 * sqrt((46^2/45) + (58^2/40))

Step-by-step explanation:

Given that:

NEWER CARS:

Sample size = n1 = 45

Standard deviation s1 = 46

Mean = m1 = 195

OLDER CARS:

Sample size = n2 = 40

Standard DEVIATION s2 = 58

Mean = m2 = 286

Confidence interval at 95% ; α = 1 - 0.95 = 0.05 ; 0.05 / 2 = 0.025

Confidence interval is calculated thus : (newer--older)

(m1 - m2) ± Tcritical * standard error

Mean difference = m1 - m2; (195 - 286)

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Standard error (E) = sqrt((s1²/n1) + (s2²/n2))

E = sqrt((46^2/45) + (58^2/40))

Hence, confidence interval:

(195 - 286) ± 1.992 * sqrt((46^2/45) + (58^2/40))

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