Been stuch for 30 min
a biologist took a count of the number of fish in a particular lake and recounted the lake’s population of fish each of the next six weeks. week 0 1 2 3 4 5 6
population 350 353 382 437 518 625 758 find a quadratic function that models the data as a function of x, the number of weeks. use the model to estimate the number of fish at the lake on week 8. (1 point) •p(x) = 13x2 – 10x + 350; 917 fish •p(x) = 13x2 – 10x + 350; 1,102 fish •p(x) = 18x2 + 10x + 300; 1,252 fish •p(x) = 18x2 + 10x + 300; 1,532 fish

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

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