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gogolik [260]
3 years ago
5

A bag contains two red marbles, four green ones, one lavender one, four yellows, and six orange marbles. HINT [See Example 7.] H

ow many sets of four marbles include one of each color other than lavender
Mathematics
1 answer:
Rama09 [41]3 years ago
6 0

Answer:

192

Step-by-step explanation:

There are a total of 15 marbles . When the lavender is left out 14 remain.

Using combinations we find that each of the four color marbles can be chosen in the following way.

2C1*4C1*4C1*6C1= 2*4*4*6=  192

We select  one of the two red marbles , one of the four green marbles, one of the four yellow marbles, one of the 6 orange marbles leaving the lavender out.. We apply combinations and then multiply to get the answer.

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The first three terms of a sequence are given. Round to the nearest
timama [110]

Answer:

117

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Step-by-step explanation:

3 0
3 years ago
Please help me <br><br>If 180°&lt;α&lt;270°, cos⁡ α=−8/17, what is sin -α?
rewona [7]

Starting from the fundamental trigonometric equation, we have

\cos^2(\alpha)+\sin^2(\alpha)=1 \iff \sin(\alpha)=\pm\sqrt{1-\cos^2(\alpha)}

Since 180, we know that the angle lies in the third quadrant, where both sine and cosine are negative. So, in this specific case, we have

\sin(\alpha)=-\sqrt{1-\cos^2(\alpha)}

Plugging the numbers, we have

\sin(\alpha)=-\sqrt{1-\dfrac{64}{289}}=-\sqrt{\dfrac{225}{289}}=-\dfrac{15}{17}

Now, just recall that

\sin(-\alpha)=-\sin(\alpha)

to deduce

\sin(-\alpha)=-\sin(\alpha)=-\left(-\dfrac{15}{17}\right)=\dfrac{15}{17}

6 0
3 years ago
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Anybody knows the answer?
soldi70 [24.7K]

Hey!


RS = 15 and RT = 18. Subtract 18 from 15 to get your answer.


18 - 15 = 3


<em>That means your answer is 3</em>


\framebox{Answer = 3}

8 0
3 years ago
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The expected value of a random variable is the
alekssr [168]

Answer:

The expected value of random variable X is often written as E(X) or µ or µX.

Step-by-step explanation:The expected value is the 'long-run mean' in the sense that, if as more and more values of the random variable were collected (by sampling or by repeated trials of a probability activity), the sample mean becomes closer to the expected value.

6 0
3 years ago
What does 6 more than twice mean?
ivann1987 [24]

Answer:

2x+6

Step-by-step explanation:

you want to get 6 more than twice of a number, in this case, x. Hope this helps!

6 0
2 years ago
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