Suppose that 16 of the 80 state governors in a country were women. on each day of 2013, one of these state governors was randomly selected to read the invocation on a popular radio program. on approximately how many of those days should it be expected that a woman was chosen?

a woman was chosen on approximately
of the days in 2013.

73 times

Step-by-step explanation:

No. of days in a year = 365

Total no. of State Governors = 80

No. of times there was a repeated appearance = 365÷80

                                                                               = 4.5 times

No. of times women appeared on the radio = 4.56×16

                                                                         = 72.96 times

Checking:

No. of time men governers appeared = 80-16 = 64

No. of times all governers appeared = (64×4.56) + 72

                                                             = 363.8 days or 1 year

b is the answer that makes most sense

step-by-step explanation:

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2