Riggoletto's Portraits specializes in making circular portraits of people. A large portrait is 78 in. in diameter. A medium portrait is 26 in. in diameter. Estimate the difference between the areas of the two sizes of portraits. Use 3.14 for . Round your answer
to the nearest whole number.

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).

What is the circumference of a circle with an area of 50.24 cm²?

How can you find the magnitude of a vector, v = < x,y > , where the horizontal change is x and the vertical change is y?