A culture of bacteria has an initial population of 9700 bacteria and doubles every 2 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t

=P
0

⋅2
d
t


, where P_tP
t

is the population after t hours, P_0P
0

is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 19 hours, to the nearest whole number?

1. there are 25 students who started computer programming in elementary school and 25 students who started computer programming in middle school. the first group had a mean final project grade of 95% and the second group had a mean final project grade of 92%. the line plot shows the differences after 10 rerandomizations. determine whether the difference in the means of the two groups is significant based on the line plot. explain your answer.

Ben is three times as old as samantha, who is two years older than half of michel's age. if michel is 12. how old is ben?

In a probability experiment, karen flipped a coin 76 times. the coin landed on heads 32 times. what percentage of the coin flips resulted in tails? round to the nearest percent. a. 58% b. 65% c. 42% d. 60%