George wants to buy a $200 bike by the end of the summer. he decides to do odd jobs to earn the money for the bike. he miss lawns, washes cars, and waxes cars. his rates are $10 for a mowed lawn, $8 for a washed car, and $4 for a waxed car. by the end of june, george has mowed 10 lawns, washed 8 cars, and waxed 6 cars.

Determine the mean and variance of the random variable with the following probability mass function. f(x)=( 729divided by 91) (1 divided by 9) superscript x baseline comma x equals 1,2,3 round your answers to three decimal places (e.g. 98.765).

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.

This is so hard and it’s for a test