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blagie [28]
3 years ago
14

URGENT FIND THE POINT OF INTERSECTION. 16x+12y=-12 16x-10y=10

Mathematics
1 answer:
Scrat [10]3 years ago
6 0

Answer:

(0, -1)

Step-by-step explanation:

hope this helps :)

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If we sample from a small finite population without​ replacement, the binomial distribution should not be used because the event
seropon [69]

Answer:

5/4324 = 0.001156337

Step-by-step explanation:

To better understand the hyper-geometric distribution consider the following example:

There are 100 senators in the US Congress, and suppose 60 of them are republicans  so 100 - 60 = 40 are democrats).

We extract a random sample of 30 senators and we want to answer this question:

What is the probability that 10 senators in the sample are republicans (and of course, 30 - 10 = 20 democrats)?

The answer using the h-g distribution is:

\large \frac{\binom{60}{10}\binom{100-60}{30-10}}{\binom{100}{30}}=\frac{\binom{60}{10}\binom{40}{20}}{\binom{100}{30}}

Now, imagine there are 56 senators (56 lottery numbers), 6 are republicans (6 winning numbers and 50 losers), we extract a sample of 6 senators (the bettor selects 6 numbers). What is the probability that 4 senators are republicans? (What is the probability that 4 numbers are winners?).

<em>As we see, the situation is exactly the same,</em> but changing the numbers. So the answer would be

\large \frac{\binom{6}{4}\binom{56-6}{6-4}}{\binom{56}{6}}=\frac{\binom{6}{4}\binom{50}{2}}{\binom{56}{6}}

Now compute each combination separately:

\large \binom{6}{4}=\frac{6!}{4!2!}=15\\\\\binom{50}{2}=\frac{50!}{2!48!}=1225\\\\\binom{50}{6}=\frac{50!}{6!44!}=15890700

and now replace the values:

\large \frac{\binom{6}{4}\binom{50}{2}}{\binom{56}{6}}=\frac{15*1225}{15890700}=\frac{18375}{15890700}=\frac{5}{4324}

and that is it.

If the decimal expression is preferred then divide the fractions to get 0.001156337

6 0
3 years ago
Which of the following is a polynomial with roots 2, 3i, and −3i? f(x) = x3 − 2x2 + 6x − 9 f(x) = x3 − 6x2 + 9x − 18 f(x) = x3 −
Andreas93 [3]
F(x) = x3 − 2x2 + 9x − 18
4 0
3 years ago
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The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negativ
PSYCHO15rus [73]
I guess ur just gunna have to bear with whatever until we have a multiple choice answer selection.
5 0
3 years ago
In a grocery store a $21 case of toilet paper is labeled, "Get a 20% discount." What is the discount? What is the sale price of
arsen [322]

Hi There!

Step-by-step explanation and Answer:

21 * 0.2 = $4.2 (Discount)

21 - 4.2 = $16.8 (Sale Price)

Hope This Helps :)

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4 years ago
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Rewrite the quadratic function below in standard form y=3(x+2)(x-3)
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X=3(x^2-x_6)
3x^2-x-6
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