The highway fuel economy of a 2016 lexus rx 350 fwd 6-cylinder 3.5-l automatic 5-speed using premium fuel is a normally distributed random variable with a mean of μ = 26.75 mpg and a standard deviation of σ = 3.50 mpg. (a) what is the standard error of x¯¯¯ , the mean from a random sample of 36 fill-ups by one driver? (round your answer to 4 decimal places.) standard error of x¯¯¯ (b) within what interval would you expect the sample mean to fall, with 99 percent probability? (round your answers to 4 decimal places.) the interval is from to

What is the least common multiple for 6 and 8? what is the least common multiple for 4 and 12 ? what is the least common multiple for 11 and 12? what is the least common multiple for 3 and 6?

The base of a rectangular pyramid is 13 inches long and 12 inches wide. the height of the pyramid is 8 inches. what is the volume of the pyramid

Exercise: counting committees 0.0/2.0 puntos (calificable) we start with a pool of n people. a chaired committee consists of k≥1 members, out of whom one member is designated as the chairperson. the expression k(nk) can be interpreted as the number of possible chaired committees with k members. this is because we have (nk) choices for the k members, and once the members are chosen, there are then k choices for the chairperson. thus, c=∑k=1nk(nk) is the total number of possible chaired committees of any size. find the value of c (as a function of n ) by thinking about a different way of forming a chaired committee: first choose the chairperson, then choose the other members of the committee. the answer is of the form c=(α+nβ)2γn+δ. what are the values of α , β , γ , and δ ?