What is the probabilty of drawing a diamond from a standard deck of cards on a second draw, give that a diamond was drawn on the
2 answers:
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<h3>Answer: -2</h3>
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Work Shown:
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Explanation:
In the second step, I multiplied top and bottom by 1/x. This divides every term by x. Doing this leaves us with various inner fractions that have the variable in the denominator. Those inner fractions approach 0 as x approaches infinity.
I'm using the rule that
where k is some positive real number constant.
Using that rule will simplify the expression greatly to leave us with -2/1 or simply -2 as the answer.
In a sense, the leading terms of the numerator and denominator are -2x and x respectively. They are the largest terms for each, so to speak. As x gets larger, the influence that -2x and x have will greatly diminish the influence of the other terms.
This effectively means,
I recommend making a table of values to see what's going on. Or you can graph the given function to see that it slowly approaches y = -2. Keep in mind that it won't actually reach y = -2 itself.
Answer:
x = 4
Step-by-step explanation:
Using the sine ratio on right triangle KJL
and the exact value sin30° =
sin30° = =
=
=
( cross- multiply )
2JL = 8 ( divide both sides by 2 )
JL = 4
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Using the sine ratio in right triangle JLM
and the exact value sin45° =
sin45° = =
=
=
( cross- multiply )
x × = 4
( divide both sides by
x = 4