Let the random variable Z follow a standard Normal distribution. Find P(-1.70 < Z < 1.20). Graph the situation, shade the area corresponding to the probability P (-1.70 < Z < 1.20) then compute this
probability. Round your answer to three decimal places.

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Data from 2005 for various age groups show that for each $100 increase in the median weekly income for whites, the median weekly income of blacks increases by $105. also, for workers of ages 25 to 54 the median weekly income for whites was $676 and for blacks was $527. (a) let w represent the median weekly income for whites and b the median weekly income for blacks, and write the equation of the line that gives b as a linear function of w. b = (b) when the median weekly income for whites is $760, what does the equation in (a) predict for the median weekly income for blacks?

Amachine part consists of a half sphere and a cylinder, as shown in the figure. the total volume of the part is π cubic inches.