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stepladder [879]
3 years ago
11

There is a stack of 8 cards, each given a different number from 1 to 8. Suppose we select a card randomly from the stack, replac

e it, and then randomly select another card. What is the probability that the first card is an even number and the second card is greater than 6?
Write your answer as a fraction in simplest form.
Mathematics
1 answer:
Serhud [2]3 years ago
6 0
Four of the cards have an even number, so the probability of drawing an even is \dfrac48=\dfrac12.

Only two cards have a number greater than 6 (7 and 8), so the probability of drawing one of them is \dfrac28=\dfrac14.

The probability of both events happening is

\dfrac12\times\dfrac14=\dfrac18
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Hello,

sec(x)= \dfrac{1}{cos(x)} \\

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2+tg^2(x)+cotg^2(x)=2+ \dfrac{sin^2x}{cos^2x} + \dfrac{cos^2x}{sin^2x} \\

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8 0
3 years ago
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Please help!!! 20 points + brainliest!!<br> 6 + (-47) =
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Well, all we have to do is add, so:

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UNO [17]

Answer:

C. is your answer

Step-by-step explanation:

In order to determine the line of symmetry, it would help to put this standard form parabola into vertex form, which is

y=a(x-h)^2+k,

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To get this into vertex form we will complete the square.  The first couple of steps I will combine into 1.  We will set the quadratic equal to zero, then move the constant over to the other side:

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The next rule is that the leading coefficient HAS to be a positive 1.  Ours is a positive 88, so we have to factor it out:

88(x^2-3x)=300

Now we can perform the process of completing the square.  The rule is to take half the linear term, square it, and add it to both sides.  Our linear term is 3.  Half of 3 is 3/2, and 3/2 squared is 9/2.  We will add 9/2 inside the parenthesis on the left, but don't forget about that 88 sitting out front which refuses to be ignored.  It serves as a multiplier into the parenthesis.  What we actually added in, then, was 88(9/2) which is 198:

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Now we can move the constant back over and set it back equal to y:

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From that form you can see that the equation of the line of symmetry is x = 1.5.  The coordinates of the vertex are (1.5, 102).  If we move 1 unit to the left of the vertex, or 1 unit to the right of the vertex, we will be at the same height.

C then is your answer.

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Answer:

lets figure out how many in total

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Step-by-step explanation:

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