In a class of 50 students for a second semester examination, 30 students offer Mathematics, 23 offer Biology while 15 offer Physics. 10 offer Mathematics and Biology, 5 offer Biology and Physics and 6 offer Mathematics and Physics. 2 students do not offer any of the three subjects. (a) Draw the Venn diagram to illustrate this information.
(b) How many students offer all three subjects?
(c) How many students offer any combination of two subjects only?

Ajar contains a mixture of 20 black marbles, 16 red marbles, and 4 white marbles, all the same size. find the probability of drawing a white or red marble on the first draw. 125 12 01 next question ask for turn it in

The rate of decay of a radioactive substance depends upon the amount present initially. the mass y (mg) of the radioactive substance cobalt-60 present in a sample at time t (years) is represented by the exponential equation y=50e −0.1315 t . answer the following questions in complete sentences. 1. how does the exponential equation above compare to the equation for simple interest that is compounded continuously? explain the similarities. 2. what is the initial amount of cobalt-60 in the sample? 2. how much cobalt-60 is left after 8.4 years? show your work. 3. what would be the y-intercept of the graph? what does it represent? 4. after how many years will the amount of cobalt-60 left be 6.25 mg? explain what happens to the cobalt-60 after 50 years? 5. discuss some “real-world” examples and uses of cobalt-60

How many solutions does the nonlinear system of equations graphed below have? a. one b. zero c. four d. two