A theater has 49 seats in the first row 52 seats in the second row 55 seats in the third row how many seats are in the 16th row

94 seats

Step-by-step explanation:

We solve using Arithmetic sequence formula

an = a + (n + 1)d

Where

a = First term = 49

d = Common difference = 52 - 49 or 55 - 52 = 3

n = 16th row

Hence,

a16 = 49 + (16 - 1)3

a16 = 49 + (15 × 3)

a16 = 49 + 45

a16 = 94

Therefore, the number of seats on the 16th row is 94 seats

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