When Lauren's salary decreases from $44,000 to $30,000, she decides to reduce the number of outfits she purchases each year from 20 to 19. Use the midpoint method to calculate Lauren’s income elasticity of demand for new outfits.

A. find the power of the test, when the null hypothesis assumes a population mean of mu = 450, with a population standard deviation of 156, the sample size is 5 and the true mean is 638.47 with confidence intervals of 95 b. find the power of the test, when the null hypothesis assumes a population mean of mu = 644, with a population standard deviation of 174, the sample size is 3 and the true mean is 744.04 with confidence intervals of 95% c. find the power of the test, when the null hypothesis assumes a population mean of mu = 510, with a population standard deviation of 126, the sample size is 10 and the true mean is 529.44 with confidence intervals of 95

(25 ! ) what does it mean for an equation to have no solution or infinitely many solutions?

1.)solve for z. -52=-4z 2.)solve for p 9/2.3=9.2 3.)solve for y. -1.17y=5.85 4.)solve for x. 3x/8=6