Which statements about the value of the digits in the number 1,111,111 are true? choose more then one a. the digit in the hundred thousands place is 10 times the value of the digit in the ten thousands place. b. the digit in the thousands place has the same value as the digit in the hundreds place. c. the digit in the ten thousands place is 11 times the value of the digit in the thousands place. d. the digit in the millions place is 10 times the value of the digit in the hundred thousands place.

Yesterday i ran 5 miles. today, i ran 3.7 miles. did my percent increase, decrease or is it a percent error? plz i need

Give the functions f(x) = |x + 2| - 3, what is the domain? a, b,c, or d all real numbers x > 2 x < -2 all real numbers and x cannot equal to 2

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.