Find the 16th term of the arithmetic sequence. 10,19,28,37,46

Step-by-step explanation:

In the arithmetic sequence. 10,19,28,37,46,...

Each time we add 9 to get the next term

then

the common differenc r = 9

the first term = 10

then

term 16 = term 1 + 9×(16 - 1)

             = 10 + 9×(15)

             = 10 + 135

             = 145

145

Step-by-step explanation: To determine the 16th term, we can easily continue this pattern by adding 9 to reach the next term.

So, 10 is our first term and we will continue adding 9.

10 ⇒ 1st term

19 ⇒ 2nd term

28 ⇒ 3rd term

37 ⇒ 4th term

46 ⇒ 5th term

55 ⇒ 6th term

64 ⇒ 7th term

73 ⇒ 8th term

82 ⇒ 9th term

91 ⇒ 10th term

100 ⇒ 11th term

109 ⇒ 12th term

118 ⇒ 13th term

127 ⇒ 14th term

136 ⇒ 15th term

145 ⇒ 16th term

Another way to do this problem is to use the explicit formula but since these numbers aren't that big, we can easily continue the pattern.

$450 is the answer.

step-by-step explanation:

30% of 450 = 135

450-135=315

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.