Math questions help

The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales representatives make an average of 36 sales calls per week on professors. Several reps say that this estimate is too low. To investigate, a random sample of 40 sales representatives reveals that the mean number of calls made last week was 38. The standard deviation of the sample is 2.6 calls. Using the .01 significance level, can we conclude that the mean number of calls per salesperson per week is more than 36?

H0 : μ ≤ 36
H1 : μ > 36

The value of the test statistic is . (Round your answer to 2 decimal places.)

a) $143 is divided in the ratio 2:3:6 calculate the smallest share. b) A prize is divided between 3 people X,Y and Z. If the ratio of X’s share to Y’s share is 3:1 and Y’s share to Z’s share is 2:5, calculate the ratio of X’s share to Z’s share c) If a:3=12:a calculate the positive value of a.

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