A statistics teacher announces to the class at the beginning of the semester that there is a 40% chance that a randomly chosen student will finish the semester with an A in the class and there is a 60% that a randomly chosen student will get an A on a test during the semester is the probability that a
randomly chosen student receives an A in the class and an Aon a test during the semester equal to 0.242
O No, because the chance of getting an A on a test and getting an A in the class are not independent
Yes, because the chance of getting an A on a test and getting an A in the class are mutually exclusive
Yes, because the chance of getting an Aon a test and getting an Ain the class are independent
O No, because the chance of getting an Aon a test and getting an A in the class are not mutually exclusive

add and multipl

Step-by-step explanation:

22

step-by-step explanation:

22

(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