In a class of 147 students, 95 are taking math (M), 73 are taking science (S), and 52 are taking both math and science. One student is selected at random. Label the Venn Diagram and then find each probability. 6. P(taking math or science or both)

7. P(not taking math)

8. P(taking math but not science)

9. P(taking nether math nor science)

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

the area of the rectangle is 35units^2.

step-by-step explanation:

graph it and find the distance.

it is a 5*7 rectangle.

therefore the area is 35units^2.