The lengths of a particular animal's pregnancies are approximately normally distributed, with mean muequals 271 days and standard deviation sigmaequals 8 days.
(a) what proportion of pregnancies lasts more than 275 days?
(b) what proportion of pregnancies lasts between 267 and 273 days?
(c) what is the probability that a randomly selected pregnancy lasts no more than 261 days?
(d) a "very preterm" baby is one whose gestation period is less than 253 days. are very preterm babies unusual?

What is the value of 1/3× + 7x, when x =5

The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. complete parts (a) and (b) below. business degrees nonbusiness degrees total male 189131 634650 823781 female 169539 885329 1054868 total 358670 1519979 1878649 (a) find the probability that a randomly selected student is male, given that the student received a business degree. the probability that a randomly selected student is male, given that the student received a business degree, is nothing. (round to three decimal places as needed.) (b) find the probability that a randomly selected student received a business degree, given that the student is female. the probability that a randomly selected student received a business degree, given that the student is female, is nothing. (round to three decimal places as needed.)

The graph of h(x)= |x-10| +6 is shown. on which interval is this graph increasing