Which situation is best modeled by a poisson distribution? o suppose a bag contains 100 letter tiles. seven letters are selected at random without replacement. what is the probability of obtaining five or more vowels? suppose that the city bus arrives at six-minute intervals. what is the probability that a passenger will have to wait more than 10 minutes for a bus? o the avcrage number of data cntry crrors at a busincss is twelve characters for cvery 1000 characters entered. 0 a basketball player shoots 76.8% from the free throw line. what is the probability that she will make 10 0 the probability of a based coin coming up heads is 51.5%. what is the probability of obtaining at least 15 heads what is the probability that there will be more than 48 data entry errors in the next 5000 characters entered? consecutive free throws before missing her first one? in 25 tosses of this coin?

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).

Given: ae ≅ ce ; de ≅ be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that △aeb ≅ △ced, we can show that △ ≅ △ceb by. so, ∠cad ≅ ∠ by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.

The perimeter of a quarter circle is 14.28 miles. what is the quarter circle's radius?