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Anestetic [448]
3 years ago
13

Zach read a book for 10 minutes every weekend in the first month, 20 minutes in the second month, 40 minutes in the third month,

and 80 minutes in the fourth month.
Victoria read a book for 35 minutes every weekend in the first month, 50 minutes in the second month, 65 minutes in the third month, and 80 minutes in the fourth month.

Which statement best describes the methods used by Zach and Victoria to increase the time they spent reading a book?

Zach's method is linear because the number of minutes increased by an equal factor every month.
Victoria's method is linear because the number of minutes increased by an equal number every month.
Both Victoria's and Zachary's methods are exponential because the number of minutes increased by an equal factor every month.
Both Victoria's and Zachary's methods are exponential because the number of minutes increased by an equal number every month.

Mathematics
1 answer:
san4es73 [151]3 years ago
8 0
Victoria's method is linear because the number of minutes increase by an equal number (15) every month.

Workings in the attachments below. The green line is the function that has been set up for Victoria. The lines that form a curved looking graph belong to the function that was set up for Zach.

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Answer: (57.41,\ 62.19)

Step-by-step explanation:

Given : Sample size : n=40

Sample mean : \overline{x}=59.8\text{ seconds}

Standard deviation : \sigma =9.2\text{ seconds}

Significance level : \alpha=1-0.9=0.1

Critical value : z_{\alpha/2}=1.645

Formula to find the confidence interval for population mean :-

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=59.8\pm(1.645)\dfrac{9.2}{\sqrt{40}}\\\\\approx59.8\pm2.39\\\\=(59.8-2.39,\ 59.8+2.39)\\\\=(57.41,\ 62.19)

Hence, a 90​% confidence interval estimate of the population mean of all students = (57.41,\ 62.19)

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She collected more 1/3 pounds on the first day
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3 0
3 years ago
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You have that:

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3 years ago
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