Tyona is performing a biology experiment

in which she is studying how the number of

bacteria in a dish changes over time. The

initial number of bacteria in the dish was

1150, and after several hours of monitoring,

Tyona was able to determine that the

number of bacteria was doubling at the end

of each hour,

Write a function, b(t), that Tyona can use to

determine the number of bacteria in the dish

after t hours,

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).

Simplify using positive exponents only.

What is the distance between the points (2, 5) and (5,9)?