In a certain lottery, 3 different numbers between 1 and 13 inclusive are drawn. These are the winning numbers. How many different selections are possible? Assume that the order in which the numbers are drawn is unimportant.

Step-by-step explanation:

GIVEN: In a certain lottery, different numbers between and inclusive are drawn. These are the winning numbers.

TO FIND: How many different selections are possible.

SOLUTION:

Total different numbers

Total number to select

As order does not matter

Total different selection possible

There are ways in which different selection is possible.

answer-

the equation that models this pattern is

solution-

a researcher placed a petri dish with 32,000 bacterial cells. one hour after being placed in the vacuum chamber, the number of cells in the petri dish had halved. another hour later, the number of cells had again halved.

this can be represented as exponential decreasing function,

where,

putting the values,

y-intercept means, where x=0, so

the coordinate of this poin will be (0, 32000)

this means when x=0 or at the starting of the research, the number of bacteria cells was 32000.

after 3 hours, number of bacteria cells will be,

the   coordinate of this point will be (3, 4000)