Find the 50th term of the following
arithmetic sequence 5, 9, 13, 17?

201

Step-by-step explanation:

First you need to know the position to term rule and to find this you use a formula which is:

tn = an + b

Where tn is the term number,  a is the difference between the other terms.

So the tposition to term rule here is 4n+1.

Then we substitute n for the value 50 making it 4(50) + 1 = 201.

201 is the 50th term

step-by-step explanation:

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560