100 POINTS PLEASE DO THESE FOUR QUESTIONS (even if it’s just one)

1. write a number sentence expressing the value of the missing angle in the diagram below

2. write a number sentence expressing the value of r in the diagram

3. label the diagram below so that one pair of parallel lines, and one pair of equal lines

4. use the index laws to simplify the expression below, giving your answer with positive indices. SHOW ALL WORKING OUT.

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.)

What unit of been sure would be appropriate for the volume of a sphere with a radius of 2 meters

Afactory buys 10% of its components from suppliers b and the rest from supplier c. it is known that 6% of the components it buys are faulty. of the components brought from suppliers a,9% are faulty and of the components bought from suppliers b, 3% are faulty. find the percentage of components bought from supplier c that are faulty.