Congress regulates corporate fuel economy and sets an annual gas mileage for cars. a company with a large fleet of cars hopes to meet the 2011 goal of 30.2mpg or better for their fleet of cars. to see if the goal is being met, they check the gasoline usage for 50 company trips chosen at random, finding a mean of 32.12mpg and a standard deviation of 4.83mpg. in this strong evidence that they have attained their fuel economy goal? a. define the parameter and state the hypotheses. b. define the sampling distribution (mean and standard deviation). c. perform the test and calculate p-value d. state your conclusion. e. explain what the p-value means in this context.

In δabc shown below, ∠bac is congruent to ∠bca: triangle abc, where angles a and c are congruent given: base ∠bac and ∠acb are congruent. prove: δabc is an isosceles triangle. when completed (fill in the blanks), the following paragraph proves that line segment ab is congruent to line segment bc making δabc an isosceles triangle. (4 points) construct a perpendicular bisector from point b to line segment ac . label the point of intersection between this perpendicular bisector and line segment ac as point d: m∠bda and m∠bdc is 90° by the definition of a perpendicular bisector. ∠bda is congruent to ∠bdc by the definition of congruent angles. line segment ad is congruent to line segment dc by by the definition of a perpendicular bisector. δbad is congruent to δbcd by the line segment ab is congruent to line segment bc because consequently, δabc is isosceles by definition of an isosceles triangle. 1. corresponding parts of congruent triangles are congruent (cpctc) 2. the definition of a perpendicular bisector 1. the definition of a perpendicular bisector 2. the definition of congruent angles 1. the definition of congruent angles 2. the definition of a perpendicular bisector 1. angle-side-angle (asa) postulate 2. corresponding parts of congruent triangles are congruent (cpctc)