How many possible outcomes are there when flipping a coin 10 times?

1024

Step-by-step explanation:

The total number of possible outcomes for the whole event occurring n times is given by :-

, where b is the number of outcomes for an event.

A fair coin has two possible outcomes ( Head and Tail ).

i.e. b=2

The number of possible outcomes are there when flipping a coin 10 times is given by :-

Hence, there are 1024  possible outcomes.

third choice down

step-by-step explanation:

the first inequality is based on the number of adults and campers, and the second inequality is based on the cost of feeding both the adult and the camper.

we know that there is room for 525 people max.   it's ok to have less than 525, but it's not ok to have more than 525, so the inequality is less than or equal to.   the number combination of adults (x) and campers (y) cannot exceed this 525 max.   therefore:

x + y ≤ 525

now we talk about cost.   it costs $9 to feed one adult, so depending upon the number of adults you have (x) depends upon how much it will cost to feed that number of adults.   same with the campers, who cost $5 to feed.   the adults can be represented by 9x and the campers can be represented by 5y.   since the budget cannot exceed 1,200, the second inequality is:

9x + 5y ≤ 1200