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3 years ago

PLEASE ANSWER ASAP!!

Mathematics

1 answer:

KATRIN_1 [288]3 years ago

6 0

Answer:

See below.

Step-by-step explanation:

The corners of the square are:

(-7, 6) which becomes (-6, 7)

(-2, 6) which becomes (-6, 2)

(-7, 1) which becomes (-1, 7)

(-2, 1) which becomes (-1, 2)

From the top left corner of the square, ABCD rotates to ACDB (clockwise), so Darla is correct.

The new square is in the same quadrant as the original, so quadrant 2.

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Step-by-step explanation:

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3 years ago

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3 years ago

A sanitation department is interested in estimating the mean amount of garbage per bin for all bins in the city. In a random sam

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Answer:

The 95.7% confidence interval for the expected amount of garbage per bin for all bins in the city

(48.937 , 50.863)

Step-by-step explanation:

Explanation:-

Given data random sample of 46 bins, the sample mean amount was 49.9 pounds and the sample standard deviation was 3.641

The sample size 'n' =46

mean of the sample x⁻ = 49.9

Standard deviation of the sample S = 3.641

Confidence intervals:-

The 95.7% confidence interval for the expected amount of garbage per bin for all bins in the city

$(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } ,x^{-} + t_{\alpha } \frac{S}{\sqrt{n} })$

Degrees of freedom = n-1 = 46-1 =45

The tabulated value t₀.₉₆ = 1.794 ( from t-table)

$(49.9 - 1.794 \frac{3.641}{\sqrt{46} } ,49.9+ 1.794 \frac{3.641}{\sqrt{46} })$

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(48.937 , 50.863)

Conclusion:-

The 95.7% confidence interval for the expected amount of garbage per bin for all bins in the city

(48.937 , 50.863)

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3 years ago