A test was given to a group of students. The grades and gender are summarized below:
A B C Total
Male 14 9 18 41
Female 7 13 12 32
Total 21 22 30 73
(a) If one student is chosen at random from those who took the test, Find the probability that the student got a 'A' GIVEN they are female.

The probability that the student got a 'A' and is female is 9,59%

Step-by-step explanation:

To get the probability  equally likely of choosing a specific student, we use the following formula

P=# of possibilities that meet the condition / #of equally likely possibilities.

# of possibilities that meet the condition= 7

#of equally likely possibilities= 73

P(fem grade A)= 7/73= 0,0959=9,59%

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

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