A cinema sold 1000 tickets on a Saturday evening. Adult tickets cost £9, children’s tickets cost £5, and a total of £6680 was collected If there are a Adult tickets and c Children tickets, write down two simultaneous equations connecting a and c.

Solve your equations to find how many tickets of each kind were sold.

Enter the missing numbers in the boxes to complete the table of equivalent ratios of lengths to widths. ? 18 8 ? 10 30 12 ?

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Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.