Ahigh school surveyed students to determine if new foreign language classes should be added to the course offerings for the next school year. the two-way frequency table below shows the interest of next year's underclassmen in the new courses. german mandarin neither total freshmen 30 80 230 340 sophomores 15 65 200 280 total 45 145 430 620 approximately what percentage of the underclassmen have an interest in taking a mandarin course next year? 55.17% 23.39% 44.83% 33.72%

23.39

Step-by-step explanation:

To calculate the percentage of underclassmen interested in taking a Mandarin course next year, find the marginal frequency for the total number of underclassmen who showed interest in Mandarin. There are 145 underclassmen who showed interest in Mandarin courses.

Find the total number of underclassmen who were polled. This number is located at the intersection of the marginal frequency row and marginal frequency column. There are 620 underclassmen who were polled in the survey.

Calculate the approximate percentage of underclassmen interested in taking a Mandarin course next year.

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step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

$35.59 in pounds

step-by-step explanation: