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Lorico [155]
4 years ago
7

A line goes through the points (8,9) and (2,4).

Mathematics
1 answer:
Nadusha1986 [10]4 years ago
4 0
9-4/8-2
5/6
The slope is 5/6
y-4=5/6(x-2)
y-4=5/6x-5/3
y=5/6x+7/3
The equation of line in point-slope is y - 4 = 5/6(x - 2)
The equation of the line in slope-intercept is y = 5/6x + 7/3
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The equation about point B on the number line is 4/1 = 4

<h3>How to complete the equation?</h3>

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In a random sample of 9 residents of the state of Florida, the mean waste recycled per person per day was 2.4 pounds with a stan
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<h2>Answer with explanation:</h2>

When the sample size is small (< 30) and the population standard deviation is unknown , then we use t-test.

The confidence interval for population mean will be :

\overline{x}\pm t^*\dfrac{s}{\sqrt{n}}   (1)

, where \overline{x} = sample mean

t* = Critical value (based on degree of freedom and significance level).

s= sample standard deviation

n= sample size.

As per given we have

n= 9

Degree of freedom = n-1 = 8

\overline{x}=2.4

s= 0.75

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Using students' t distribution table ,

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Then, a 80% confidence interval for the mean waste recycled per person per day for the population of Florida will be :

2.4\pm (1.3304)\dfrac{0.75}{\sqrt{8}}   (Substitute the values in (1))

2.4\pm (1.3304)\dfrac{0.75}{2.82842712475}

2.4\pm (1.3304)(0.265165042945)

2.4\pm 0.352775573134\approx2.4\pm0.353=(2.4-0.353,\ 2.4+0.353)=(2.047,\ 2.753)

Hence, the 80% confidence interval for the mean waste recycled per person per day for the population of Florida. = (2.047, 2.753)

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