You roll a standard number cube (six-sided die) 7 times. Assume that each number is equally likely to come up each time you roll. If there is a 1/3 probability of rolling a number less than 3, what is the probability that a number less than 3 comes up exactly 4 of the 7 times? Round your answer to 3
decimals.

60 2(x + 2) in the diagram, gef and hef are congruent. what is the value of x?

Which equation is true? i. 56 ÷ 4·7 = 82 ÷ (11 + 5) ii. (24 ÷ 8 + 2)3 = (42 + 9)2 neither i nor ii ii only i and ii i only

Question 1 of 10 2 points different groups of 50 graduates of an engineering school were asked the starting annual salary for their first engineering job after graduation, and the sampling variability was low. if the average salary of one of the groups was $65,000, which of these is least likely to be the average salary of another of the groups? o a. $64,000 o b. $65,000 o c. $67,000 o d. $54,000