Consider independent events A and B.

a) Show that events A and Bc are also independent. (Justify intuitively for partial credit; prove rigorously for full credit.) Hint: One straightforward way is to show that P[Bc |A] = P[Bc ].
b) How about the events Ac and Bc ? (OK to assume part (a) even if you were not able to prove it).
c) Given known probabilities P[A] = pa and P[B] = pb, express the following probabilities: P[A â© B], P[A â© Bc ], and P[Ac â© Bc ]

Me #1 using vocabulary words, including the word “congruent”, state why the measure of angle d is 120 degrees. #2 what is the measure of angle e and why?

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria.the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time.create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

The bake stars picked 907 apples last weekend at a local orchard they made caramel apples and sold them in the bakery in trays of 6