A bag contains 100 golf balls, 66 of which are red. Consider drawing a red golf ball to be a "success".
If 31 golf balls are drawn with replacement, the result form a binomial distribution.
Use this information for exercises for parts a, b and c.
a. What is the probability that the fifth draw will be a "success"? (2 points)
b. What is the mean ()? (2 points)
c. What is the value of the standard deviation (o)? (2 points)

If the graph of f(x)=9x^2+37x+41/3x+5 has an oblique asymptote at y=3x+k what is the value of k

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.

Two line segments are shown in the figure below. suppose that the length of the line along the x-axis is 6, and the length of the hypotenuse of the triangle is 10. what is the equation of the hypotenuse line (shown in red, below)?