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2 years ago

Give a correct interpretation of a 99% confidence level of 0.102 < p < 0.236.

2 answers:

4 0

We are 99% confident that the interval from 0.102 to 0.236 actually does contain the true value of the population proportion p.

Musya8 [376]2 years ago

3 0

Answer:

Step-by-step explanation:

Given that there is a confidence interval with lower limit =0.102 and upper limit = 0.236 for p.

Here p is the sample proportion.

Mean of p = average of lower and upper bound = $\frac{0.102+0.236}{2} =0.169$

Average proportion expected is 0.169

And it can have margin of error as + or - 0.067

THus interpretation is the sample proportion will have a point estimate of 0.169 and we are 99% confident, when sample sizes increase and samples are randomly drawn, the proportion of the samples would fall within the values (0.102, 0.236)

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Equation of the line (-6,5) and (8,14) in standard form

blsea [12.9K]

Answer:

$\huge\boxed{9x-14y=-70}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have two points (-6, 5) and (8, 14).

Substitute:

$m=\dfrac{14-5}{8-(-6)}=\dfrac{9}{14}\\\\y-5=\dfrac{9}{14}(x-(-6))\\\\y-5=\dfrac{9}{14}(x+6)$

Thew standard form of an equation of a line:

$Ax+By=C$

transform:

$y-5=\dfrac{9}{14}(x+6)\qquad|\text{multiply both sides by 14}\\\\14y-14\cdot5=14\!\!\!\!\!\diagup^1\cdot\dfrac{9}{14\!\!\!\!\!\diagup_1}(x+6)\\\\14y-70=9(x+6)\\\\14y-70=9x+54\qquad|\text{subtract}\ 9x\ \text{from both sides}\\\\-9x+14y-70=54\qquad|\text{add 70 to both sides}\\\\-9x+14y=70\qquad|\text{change the signs}\\\\9x-14y=-70$

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3 years ago

The lines on the graph below represent the cost of apples at four different stores.

Doss [256]

The cost of 10 apples would be 26 dollars because each pound is 14.

5 0

3 years ago

The legs of a right triangle are 3 units and 8 units. What is the length of the hypotenuse? Round your answer to the nearest hun

ASHA 777 [7]

Answer:

Step-by-step explanation:

Hypotenuse^2=3^2+8^2

Hypotenuse^2=9+64=73

Hypotenuse =square root of 73

Hypptenuse =8.54

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2 years ago

What is the MAD of the data set? {10, 9, 16, 5, 10}

Oksanka [162]

First, you'd find the mean of all the numbers by doing 10+9+16+5+10 = 50/5 = 10. Second, you'd subtract all values from the mean by doing
16 - 10 = 6
10 - 10 = 0
10 - 10 = 0
10 - 9 = 1
10 - 5 = 5
Lastly, finding the mean of all 5 numbers would be, 2.4! Hope this helps!! :D

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3 years ago

Mixed number as a decimal 7 9/18

Lesechka [4]

Answer:

3.5

Step-by-step explanation:

7 0

3 years ago