*Please help and explain Chebyshev's Theorem in answer.* There are dozens of personality tests available on the World Wide Web. One test, scored on a scale of 0 to 200, is designed to give an indication of how "personable" the test taker is, with higher scores indicating more "personability." Suppose that scores on this test have a mean of 98 and a standard deviation of 25.

Complete the following statements about the distribution of scores on this personality test.

(a) According to Chebyshev's theorem, at least % of the scores lie between
48 and 148. (Answer choices: 36%, 56%, 75%, 84%, or 89%)

(b) According to Chebyshev's theorem, at least 36% of the scores lie between
and . (Round your answer to the nearest whole number.)

Find the cosine function that is represented in the graph.

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a. what is the independent and dependent variables? b. find the amplitude and the period of the function. c. create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.

On average a herd of elephants travels 10 miles in 12 hours you can use that information to answer different questions drag each expression to show which is answers