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Viefleur [7K]
3 years ago
10

Paulo tracks his commute time. The coordinate plane below shows some of his commute times in the last two weeks. The x-axis of t

he graph represents the number of days before today. For example, -1 minus, would represent yesterday. The y-axis represents the commute time in minutes. 2 days ago, Paulo's commute time was halfway between his commute times 8 and 9 days ago. At what coordinates should Paulo graph his commute time 2 days ago
Mathematics
1 answer:
Mars2501 [29]3 years ago
8 0

Answer:-2,21

Step-by-step explanation:

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In a certain population, body weights are normally distributed with a mean of 152 pounds and a standard deviation of 26 pounds.
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xBar ± z * sx / sqrt(n)

 

where xBar is the sample mean

z is the zscore for having α% of the data in the tails, i.e., P( |Z| > z) = α

sx is the sample standard deviation

n is the sample size

 

For sample size calcualtions we need the following. The width of the interval, from one end point to the center is:

 

z * sx / sqrt(n) =

 

w and solving for n gives:

 

<span> n = (z * sx / w) ^ 2 </span>

 

remember that n needs to be an integer. Always take the ceiling, i.e., round up. If you round down then the width of the interval will not be correct, it will be too wide. By rounding up, the interval will be more narrow than asked for, but this is a good thing. It means there is more precision in the estimate.

 

<span> here we have </span>

 

z = 2.05

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n = (z * sx / w) ^ 2 n = (2.05 * 26 / 6.08)^2

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Round of the answer since n must be an integer.

 

<span>n = 77 </span>

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Answer:

The given expression is

3 + (\frac{(2+8)2}{4} \times(\frac{1}{2} )^4)= \hspace{0.3cm}3 +( \frac{10 \times 2}{4}\times \frac{1}{2^4} ) \hspace{0.3cm} = \hspace{0.2cm} 3 + ( \frac{5}{16}) = 3.3125

Step-by-step explanation:

The given expression is

3 + (\frac{(2+8)2}{4} \times(\frac{1}{2} )^4)= \hspace{0.3cm}3 +( \frac{10 \times 2}{4}\times \frac{1}{2^4} ) \hspace{0.3cm} = \hspace{0.2cm} 3 + ( \frac{5}{16}) = 3.3125

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