Find the length of the brace needed in the illustration. Use the rules for working with measurements. 

A. b = 33.3 in.
B. b = 35.5 in.
C. b = 30 in.
D. b = 34.4 in.
E. b = 45.6 in.


Answer: A

Mathematics

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Solve the problem.The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. A measuring device is calibrated to give  when  and  What is the volume on this device when the temperature is  and the pressure is 

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Mathematics

Suppose the neck size of men is normally distributed, with a mean of 15.5 inches and a standard deviation of 0.5 inch. A shirt manufacturer is going to introduce a new line of shirts. Assume that if your neck size falls between two shirt sizes, you purchase the next larger shirt size. How many shirts of the 17 size should be included in a batch of 1,000 shirts? Round your answer to the nearest number.

Standard Normal Distribution; z-scores  z      0.00      0.01     0.02      0.03     0.04      0.05     0.06      0.07     0.08      0.090.0    0.0000  0.0040  0.0080  0.0120  0.0160  0.0199  0.0239  0.0279  0.0319  0.03590.1    0.0398  0.0438  0.0478  0.0517  0.0557  0.0596  0.0636  0.0675  0.0714  0.07530.2    0.0793  0.0832  0.0871  0.0910  0.0948  0.0987  0.1026  0.1064  0.1103  0.11410.3    0.1179  0.1217  0.1255  0.1293  0.1331  0.1368  0.1406  0.1443  0.1480  0.15170.4    0.1554  0.1591  0.1628  0.1664  0.1700  0.1736  0.1772  0.1808  0.1844  0.18790.5    0.1915  0.1950  0.1985  0.2019  0.2054  0.2088  0.2123  0.2157  0.2190  0.22240.6    0.2257  0.2291  0.2324  0.2357  0.2389  0.2422  0.2454  0.2486  0.2517  0.25490.7    0.2580  0.2611  0.2642  0.2673  0.2704  0.2734  0.2764  0.2794  0.2823  0.28520.8    0.2881  0.2910  0.2939  0.2967  0.2995  0.3023  0.3051  0.3078  0.3106  0.31330.9    0.3159  0.3186  0.3212  0.3238  0.3264  0.3289  0.3315  0.3340  0.3365  0.33891.0    0.3413  0.3438  0.3461  0.3485  0.3508  0.3531  0.3554  0.3577  0.3599  0.36211.1    0.3643  0.3665  0.3686  0.3708  0.3729  0.3749  0.3770  0.3790  0.3810  0.38301.2    0.3849  0.3869  0.3888  0.3907  0.3925  0.3944  0.3962  0.3980  0.3997  0.40151.3    0.4032  0.4049  0.4066  0.4082  0.4099  0.4115  0.4131  0.4147  0.4162  0.41771.4    0.4192  0.4207  0.4222  0.4236  0.4251  0.4265  0.4279  0.4292  0.4306  0.43191.5    0.4332  0.4345  0.4357  0.4370  0.4382  0.4394  0.4406  0.4418  0.4429  0.44411.6    0.4452  0.4463  0.4474  0.4484  0.4495  0.4505  0.4515  0.4525  0.4535  0.45451.7    0.4554  0.4564  0.4573  0.4582  0.4591  0.4599  0.4608  0.4616  0.4625  0.46331.8    0.4641  0.4649  0.4656  0.4664  0.4671  0.4678  0.4686  0.4692  0.4699  0.47061.9    0.4713  0.4719  0.4726  0.4732  0.4738  0.4744  0.4750  0.4756  0.4761  0.47672.0    0.4772  0.4778  0.4783  0.4788  0.4793  0.4798  0.4803  0.4808  0.4812  0.48173.0    0.4987  0.4987  0.4987  0.4988  0.4988  0.4989  0.4989  0.4989  0.4990  0.4990? __________ shirt(s) Fill in the blank(s) with the appropriate word(s).

Mathematics

Find the algebraic expression that is equal to sin(-?)sec(-?)cot(-?). ? 

A. 1 B. sec(-?) C. csc(-?) D. cos(-?) E. sin(-?)

Mathematics

Obtain the population standard deviation, ?, for the given data. Assume that the data represent population data. Round your final answer to one more decimal place than that used for the observations.The normal annual precipitation (in inches) is given below for 8 different U.S. cities.19.2 5.4 13.2 10.4 11.5 17.5 8.6 13.6

A. 4.51 B. 17.82 C. 6.51 D. 4.22

Mathematics