Testing for a disease can be made more efficient by combining samples. If the samples from 6 people are combined and the mixture tests negative, then all 6 samples are negative. On the other hand, one positive sample will always test positive, no matter how many negative samples it is mixed with. Assuming the probability of a single sample testing positive is 0.05 , find the probability of a positive result for 6 samples combined into one mixture. Is the probability low enough so that further testing of the individual samples is rarely necessary? The probability of a positive test result is .
(Round to three decimal places as needed.)

Is the probability low enough so that further testing of the individual samples is rarely necessary?

A. The probability is not low, so further testing will not be necessary for any of the mixtures.

B. The probability is low, so further testing will be necessary for all of the combined mixtures.

C. The probability is not low, so further testing of the individual samples will frequently be a necessary event.

D. The probability is low, so further testing of the individual samples will be a rarely necessary event.

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. you notice the rainbow is the shape of a parabola. the equation for this parabola is y = -x2 + 36. graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0. in the distance, an airplane is taking off. as it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow. analyze the two functions. answer the following reflection questions in complete sentences. what is the domain and range of the rainbow? explain what the domain and range represent. do all of the values make sense in this situation? why or why not? what are the x- and y-intercepts of the rainbow? explain what each intercept represents. is the linear function you created with your table positive or negative? explain. what are the solutions or solution to the system of equations created? explain what it or they represent. create your own piecewise function with at least two functions. explain, using complete sentences, the steps for graphing the function. graph the function by hand or using a graphing software of your choice (remember to submit the graph).