The student scores on a history test are normally distributed with an unknown population mean and standard deviation A random sample of 38 scores is taken and results in a sample mean of 85 points and sample standard deviation of 4 points. dr 0,10 0.0 0.025 0.01 0.005 3 1.306 1.690 2.030 2.438 2.724 1.306 1.688 2.028 2.434 2.719 1.305 1687 2.026 2.431 2.715 1.304 1.686 2.024 2.429 2.712 1.304 1685 2.023 2.426 2.708 Find a 90% confidence interval estimate for the population mean using the Student's distribution . Round the final answers to two decimal places.

Use the diagonals to determine whether a parallelogram with vertices u(2,−2), v(9,−2), w(9,−6), and x(2,−6) is a rectangle, rhombus, or square. give all the names that apply.

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.

Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 25002500 grams and a standard deviation of 800800 grams while babies born after a gestation period of 40 weeks have a mean weight of 27002700 grams and a standard deviation of 385385 grams. if a 3232-week gestation period baby weighs 21252125 grams and a 4040-week gestation period baby weighs 23252325 grams, find the corresponding z-scores. which baby weighs lessless relative to the gestation period?