Periodic Modeling The height of the tide in Pismo Beach is measured along a seawall. Water levels oscillate between 7 feet at low tide
and 15 feet at high tide. On a particular day, low tide occurred at approximately 8 AM and high tide occurred at
approximately 2 PM.
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Graph a function that models this situation for one full day, starting at midnight and ending at midnight on the
following day. Make sure to show and label all key features.
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Show Your Work

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).

James wants to promote his band on the internet. site a offers website hosting for $4.95 per month with a $49.95 startup fee. site b offers website hosting for $9.95 per month with no startup fee. for how many months would james need to keep the website for site a to be a better choice than site b?

Type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar.