A consumer electronics company is comparing the brightness of two different types of led screens for use in its television sets. Screen type a has mean brightness of 75 and standard deviation of 8, while screen type b has mean brightness of 70 and standard deviation of 12. A random sample size 36 is selected from screen type a where the sample size for screen type b is 25. Find the approximate probability that x¯ a − x¯ b exceeds 4?

Use set builder notation to represent the following set: { -3, -2, -1, 0}

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.

William invested $5000 in an account that earns 3.8% interest, compounded annually. the formula for compound interest is a(t) = p(1 + i)t. how much did william have in the account after 6 years? (apex)