Which statement is true if the triangular prism and the triangular pyramid have the same base and height?

a. the volume of the prism is one-third times the volume of the pyramid.

b. the volume of the pyramid is 3 times the volume of the prism.

c. the volume of the pyramid is one-third the volume of the prism.

d. there is no relationship between the volumes of each shape.

Planning for the possibility that your home might get struck by lighting and catch on fire is part of a plan

The value of cos 30° is the same as which of the following?

Acell phone company offers two plans to its subscribers. at the time new subscribers sign up, they are asked to provide some demographic information. the mean yearly income for a sample of 40 subscribers to plan a is $45,000 with a standard deviation of $9,200. for a sample of 25 subscribers to plan b, the mean income is $64,300 with a standard deviation of $7,100. at the 0.025 significance level, is it reasonable to conclude the mean income of those selecting plan b is larger? assume unequal population standard deviations. hint: for the calculations, assume the plan a as the first sample. what is the decision rule? (negative amount should be indicated by a minus sign. round your answer to 3 decimal places.) compute the value of the test statistic. (negative amount should be indicated by a minus sign. round your answer to 2 decimal places.) what is your decision regarding h0 ? reject h0 fail to reject h0 compute the p-value. less than 0.01 between 0.01 and 0.025 between 0.025 and 0.05 between 0.05 and 0.10 greater than 0.10