Arectangular pen, in which chickens and roosters are kept, has a width that is represented with the polynomial w=x3−2x+3x2+15, and a length that is represented with the polynomial l=x4−x2+11x3−5. remember that the perimeter of a rectangle can be found using the formula p=2l+2w or p=2(l+w). which polynomial represents the perimeter of this pen? a. x4+12x3+2x2−2x+10b. 24x3+4x2−4x+15c. 2x4+24x3+4x2−4x+20d. 2x4−20x3+4x2−4x+40

At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. the cyclic nature of wind and moving sand determines the shape and location of large dunes. at a test site, the prevailing direction of the wind did not change noticeably. however, the velocity did change. fifty-nine wind speed readings gave an average velocity of x = 1075 cm/sec. based on long-term experience, σ can be assumed to be 245 cm/sec. (a) find a 95% confidence interval for the population mean wind speed at this site. (round your answers to the nearest whole number.) lower limit cm/sec upper limit cm/sec