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umka21 [38]
3 years ago
10

A line has a slope of -5 and includes the points (-7,3) and (-5, K ) What is the value of K?

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
7 0
I think K might be 0. Not sure.
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It’ll take 13 weeks.
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A tree is leaning at a 5° angle from vertical, making an 85° angle with the ground. When the sun is at a 65° angle of elevation,
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D = 25 ft is the length of a shadow. L -  the length of a tree.
Two angles are 85° and 65° and the third is 180° - ( 65° + 85° ) =
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The mayor is interested in finding a 95% confidence interval for the mean number of pounds of trash per person per week that is
Hatshy [7]

Answer:

A. <u>Normal</u>

B. <u>30.1</u>, <u>32.9</u>

C. <u>95</u>, <u>5</u>

Step-by-step explanation:

A. The sampling distribution follows a <u>normal</u> distribution

Given that the sample size is large, we have that the sample distribution follows a normal distribution according to the central limit theorem

B. The 95% confidence interval is given as follows;

CI=\bar{x}\pm z \times \dfrac{s}{\sqrt{n}}

The number of residents in the study, n = 120 residents

The sample mean, \overline x = 31.5 pounds

The standard deviation, s = 7.8 pounds

The z-value for 95% confidence level, z = 1.96

Therefore, we get;

C.I. = 31.5 ± 1.96 × 7.8/√(120)

The 95% C.I. ≈ 30.1 ≤ \overline x ≤ 32.9

Therefore, we have that with 95% confidence, the population mean number of pounds per person per week is between <u>30.1</u> and <u>32.9</u>

C. Therefore, according to the central limit theorem, about <u>95</u> percent of the groups of 120 will contain the true population mean number of pounds of trash generated per person per week and about <u>5</u> percent will not contain the true population mean number of pounds of trash generated per person per week.

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