Data from the u. s. department of education indicates that 59% of business graduate students from private universities had student loans. suppose you randomly survey a sample of graduate business students from private universities. consider the sampling distribution (sample size n = 105) for the proportion of these students who have loans.

what is the mean of this distribution? (enter your answer accurate to two decimal places.)

what is the standard deviation of this sampling distribution (i. e., the standard error)?

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.

What is the area of the triangle 10 13 12

In the diagram, gef and hef are congruent. what is the value of x