The distribution of an instant scratch lottery is shown below, where the discrete random variable X represents the prize in euros of one ticket: 0 2 20 400 4000 P(X = 1) 0.7745 0.2 0.02 0.005 0.0005 If the cost of a single ticket is 5 EUR what amount would you expect to gain or lose on average when buying one ticket? Give your answer as a number with its corresponding sign. For example if you expect a gain of 2 EUR give your answer as +2. but if you expect a loss of 2 EUR then give your answer as –2. Answer

step-by-step explanation:

there are 36 inches in a yard

25 : 36 = 0.69 yards (you can round to 0.70)

(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