At Lawson Middle School, Mr. Hernandez asked 90 randomly selected students, and 28 chose social studies as their favorite. He used this data to draw the inference that out of the 250 middle school students, about 20% prefer social studies. Did he make a reasonable inference? Yes, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, and 28 is 20% of 250. Yes, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, and 28 is 20% of 90. No, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, but 28 is not 20% of 90. No, Mr. Hernandez’s sample is not large enough compared to the population.

For what is the measure of the angle at the top of the shed? a. multiplication of areas b. squaring of areas c. addition of areas d. division of areas

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.

Simplify the expression. -2/5(10+15m-20n)