In an upcoming mayoral race, the Democratic candidate hires a statistician to determine the amount of support she has for the upcom-

ing election. The statistician tests the null hypothesis that the propor-

tion of voters favoring the candidate equals 50% against the alternative

hypothesis that the proportion is greater than 50%. The result for a simple

random sample of 125 registered voters is displayed in the printout below.

The answer is a.the rorschach inkblot test uses 10 symmetrical inkblots in which the subject describes what he or she sees as a way to predict personality. the tat, on the other hand, asks the participant to write a short stories about ambiguous sketches.

You need to figure out at which x-value does the graph has a tangent line slope of -1.remember, the derivative is the slope of the tangent line. so find the derivative function and set it to equal -1 to find the x-value that will have a tangent line slope of 0.differentiate with the chain rule.    set the derivative to equal -1 and solve for x.      take log base 10 of both sides. also recall that  .    so the x-coord of the point of tangency is .the y-coordinate of this point of tangency can be calculated using the original function:     using point-slope form, the equation of the tangent line is      the x-intercept of this tangent line is when the graph is at y=0.    this rounds off to  .choice c.

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