Alab is trying to determine if a new medication is effective at reducing acne breakouts. the results are displayed in the venn diagram below: a venn diagram titled acne medicine probabilities is shown with two circles labeled used the medicine and skin cleared. inside the used the medicine area is 20. inside the skin cleared area is 10. in the intersection of the two circles is 30. the area outside the two circles is labeled 40. what is the probability that the person's skin cleared up given that they used the medication?

Find the greatest common factor of 28 and 35

Plot the intercepts to graph the equation

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).