Question

the minimum of the set of cards is 2, the range of the cards is 9, the mean of the cards is 7, there are 3 cards

Answer 1

2, 8, 11 are the card numbers.

Explanation:

we are given 3 cards with numbers on them. it is given that 2 is the smallest of the three.

next, the range is given as 9. the range is the difference between the largest and the smallest number. since the smallest number is 2, we have for the unknown card number m,
`m-2=9`. adding both sides with 2, we get
`m=11`.

lastly, the mean/average of the three cards is 7. the mean formula is
`\frac{\text{sum of cards}}{\text{number of cards}}` in the context of the question.

so, we have the sum to be s.
`(s)/(3)=7`, and multiplying both sides by 3, we get
`s=7*3=21` as the sum of cards.

now, we have the remaining card n, and we have
`s=21=2+11+n`. so now we simplify and solve for n.

`21=13+n` then subtract 13 from both sides.
`\therefore n =8`.

thus, our cards are 2, 8, 11.

Answer 2

a=12

Explanation:

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