Fill in the blank (3-8): 3. If you increase the size of your sample, then the confidence interval will .
4. If you increase your confidence from 90% to 99%, then the interval will .
6. If your sample has a larger standard deviation then the interval will ..
7. If a data set with a mean of 4.5 has a standard deviation of 2.5, the 95% confidence interval is .
8. The margin of error for the data set and confidence interval described in #7 is .

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Find and simplify an expression for the area of five rows of x squares with side lengths of x centimeters .

Arley is building a model of a city map. in one part of the city, three roads form a right triangle, which harley draws as triangle abc, with the following measures: m∠b=90° and m∠a=30°. in his scale model, the hypotenuse of triangle abc, ac¯¯¯¯¯¯¯¯, has a length of 817−−√ cm. what is the value of a (the length of bc¯¯¯¯¯¯¯¯)?

In one day there are too high tides into low tides and equally spaced intervals the high tide is observed to be 6 feet above the average sea level after six hours passed a low tide occurs at 6 feet below the average sea level in this task you will model this occurrence using a trigonometric function by using x as a measurement of time assume the first high tide occurs at x=0. a. what are the independent and dependent variables? b. determine these key features of the function that models the tide: 1.amplitude 2.period 3.frequency 4.midline 5.vertical shift 6.phase shift c. create a trigonometric function that models the ocean tide for a period of 12 hours. d.what is the height of the tide after 93 hours?