Aschool employs 75 teachers. the following table summarises their length of service at the school,
classified by gender.

less than 3 years 3 years to 8 years more than 8 years
female 12 20 13
male 8 15 7

(i) find the probability that a randomly selected teacher:

(i) is female;
(ii) is female, given that the teacher has more than 8 years service.

The manufacturer of a new product developed the following expression to predict the monthly profit, in thousands of dollars, from sales of the productwhen it is sold at a unit price of x dollars.-0.5x^2 + 22x - 224what is represented by the zero(s) of the expression? a.the profit when the unit price is equal to 0b.the unit price(s) when the profit is equal to 0c.the profit when the unit price is greatestd.the unit price(s) when profit is greatest

Acomposition of transformations maps δxyz to δx"y"z". the first transformation for this composition is , and the second transformation is a 90° rotation about point x'.

Mackenzie needs to determine whether the rectangles are proportional. which process could she use? check all that apply.