We have 12 cards which have the numbers from 1 to 12 written on them. A card is taken at random.

a Find the number of elements in the sample space.

b Event A is ‘getting an even number’.
i List the outcomes in the event.
ii Give the number of outcomes in the event.

c Event B is ‘getting a number less than 5’.
i List the outcomes in the event.
ii Give the number of outcomes in the event.

d Event C is ‘getting a multiple of 4’.
i List the outcomes in the event.
ii Give the number of outcomes in the event

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted

1 x=22.52

2: 65/39=604+39x

65x-39x=604

26x=604

x=604/26

×=23.23

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week

ok so what's the question?

step-by-step explanation: