Question -

Six cards were randomly pulled from a deck of cards. The values of five of the cards were 4, 6, 9, 3, and 1. The mean of the six cards is 5. What is the value of the sixth card?

Answer -

To find the value of the sixth card, we can use the formula for the mean of a set of numbers:

mean = (sum of all numbers) / (number of numbers)

We know the mean of the six cards is 5, so we can write:

5 = (4 + 6 + 9 + 3 + 1 + x) / 6

where x is the value of the sixth card.

To solve for x, we can first simplify the equation:

30 = 4 + 6 + 9 + 3 + 1 + x

Next, we can combine the numbers on the left side:

30 = 23 + x

Subtracting 23 from both sides, we get:

x = 7

Therefore, the value of the sixth card is 7.

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