Sally travels to work by train every day. The probability that her train will be late on any day is 0.16
Thursday
Friday
a) Complete the probability tree
diagram for Thursday and
0.16
late
Friday
(2)
late
b) Work out the probability that
0.16
her train will be late on at
0.84
least one of these two days. (3)
not late
1
0.16
late
+
0.84
not late
0.84
not late

Aculture started with 3000 bacteria. after 5 hours it grew to 3900 bacteria. predict how many bacteria will be present after 9 hours

Juliana says that she can use the patterns of equivalent ratios in the multiplication table below to write an infinite number of ratios that are equivalent to 6: 10. which statement explains whether juliana is correct? she is correct because she can multiply 6 and 10 by any number to form an equivalent ratio. she is correct because 6: 10 can be written as 1: 2 and there are an infinite number of ratios for 1: 2. she is not correct because the multiplication table does not include multiples of 10. she is not correct because 6: 10 is equivalent to 3: 5 and there are only 9 ratios in the multiplication table that are equivalent to 3: 5.

If cos(2x) = tan^2(y), show that cos(2y) = tan^2(x).