Two rectangles are similar. The first is 6 inches wide and 4 inches long. The second is 9 inches wide. Find the length of the second rectangle.

Abag contains pieces of paper numbered from 5 to 9. a piece of paper is drawn at random. what is the theoretical probability of drawing a number less than 8?

Astudy found that the variance in the number of vehicles owned or leased by subscribers to a magazine is .094. assume a sample of 12 subscribers to another magazine provided the following data on the number of vehicles owned or leased: 1,1,1,0,3,2,1,1,2,1,0, and 1 a) compute the sample variance in the number of vehicles owned or leased by the subscribers (to 4 decimals). b)test the hypothesis to determine whether the variance in the number of vehicles owned or leased by subscribers of the other magazine differs from .calculate the value of the test statistic (to 3 decimals).

Question 3 (a) consider the data. 00 0 25 0.5 05 () construct the divaded difference's table for the data (u) construct the newton form of the polynomial of lowest degree that interpolates /() at these points (3) (ii) suppose that these data were generated by the function cos 2 ()=1+ 2 use the next term rule to approximate the error ip(z)- f() over the interval 0,0 5 your answer should be a pumber 3 (b) let f ((z) co+ clco, ci e r) set up the normal equations to find the least squares best fe f to approximate the data x y 2 y2 (c) find the constants a, b and c such that stz)(z-1+b(z-1)2+6(z-1)+1 cr +182-30+19- 1sz< 2 25z< 3 (9) s a natural cubic splhne [25] |turn over