If y varies directly as x, and y is 20 when x is 4, whats this relation?
1 answer:
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The probability of picking a card with an even number is .
- Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true.
- The probability of an event is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.
To find the probability of picking a card with an even number:
- There are 10 cards on which numbers are written 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29.
- These cards are placed on a table with the numbers facing down.
- To find the probability of picking a card with an even number, first, we count all the even numbers written on the cards.
- 12, 14, and 18 out of 10 cards there are 3 even numbers written on the cards.
- So, the probability of picking a card with an even number is
.
Therefore, the probability of picking a card with an even number is .
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COMPLETE QUESTION:
The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with the numbers facing down. The probability of picking a card with an even number is _____.
Given
We have to set the restraint
because a square root is non-negative, and thus it can't equal a negative number. With this in mind, we can square both sides:
The solutions to this equation are 7 and -2. Recalling that we can only accept solutions greater than or equal to -1, 7 is a feasible solution, while -2 is extraneous.
Similarly, we have
So, we have to impose
Squaring both sides, we have
The solutions to this equation are 5 and 10. Since we only accept solutions greater than or equal to 7, 10 is a feasible solution, while 5 is extraneous.