1.

Give an equation that can be used to find the angular speed . of a circular saw blade that rotates at & revolutions per minute, where w is measured in radians per minute. Give an equation that can be used to find the linear speed y of a circular saw blade of diameter @ inches that rotates at * revolutions per minute, where v is measured in feet per minute. (Hint: Remember that there are 12 inches in 1 foot, and that the radius of a circle is half the diameter.} 3 A 7--inch circular power saw rotates at 4,800 revolutions per minute. [Round your answers to two decimal places.) (2) Find the angular speed of the saw blade in radians per minute. rad/min (b] Find the linear speed (in feet per minute] of the saw teeth as they contact the wood being cut. ft/minConsider an arc on a circle of radius :- intercepted by a central angle 6'. r= 6 feet, 3 = 60 Convert 60 to exact radian measure. 'X Find the exact length (in ft) of the arc. |:|,'n Give a decimal approximation for the length {in ft) of the arc. (Round your answer to two decimal places.) & Use technology to help you test the claim about the population mean, , at the given level of significance, 1240; a = 0.09; 6 = 211.78. Sample statistics: x = 1271.64, n = 300 Identify the null and alternative hypotheses. Choose the correct answer below. A. Ho: US 1240 OB. Ho: H 2 1271.64 Ha: H > 1240 Ha: H 1240 OD. Ho: H 2 1240 Ha: US 1240 Ha: H 1271.64 Ha: H > 1271.64 Ha: US 1271.64 Calculate the standardized test statistic. The standardized test statistic is (Round to two decimal places as needed.) Calculate the standardized test statistic. The standardized test statistic is (Round to two decimal places as needed.) Determine the P-value. P (Round to three decimal places as needed.) Determine the outcome and conclusion of the test. Reject Ho. At the 6% significance level, there is enough evidence to support the claim