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3 years ago

Simplify: − (sq root)16x2 if x<0.

Mathematics

1 answer:

Sever21 [200]3 years ago

5 0

Step-by-step explanation:

$- \sqrt{16 {x}^{2} } \\ = - 4x$

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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

I need a little extra help with number three

diamong [38]

Answer:

The answer to your question is:

Step-by-step explanation:

Data

f(x) = -2x² + 8x - 2

Process

-2x² + 8x = y + 2

-2(x² - 4x + 4) = y + 2 - 8

-2(x - 2)² = y - 6

(x - 2)² = 1/2 (y - 6)

Vertex = (2, 6)

Axis of symmetry = x = 2

y-intercept

f(0) = -2(0)² + 8(0) - 2

f(0) = 0 + 0 - 2

f(0) = -2

Domain (-∞, ∞)

Range (-∞, 6]

See the graph below

6 0

2 years ago

Find the difference 58.84 - 2.78

VladimirAG [237]

Answer:

56.06

Step-by-step explanation:

58.84

-- 2.78

______

56.06

I don't really know how else to explain this, but there ya go! Goodluck on your test or whatever you're doing! Stay safe ♥♥♥

8 0

3 years ago

Read 2 more answers

a charity sold 475 tickets to a dinner auction. if the charity raised $ 16,625 in ticket sales , what was the cost of one ticket

Nuetrik [128]

$16,625.00/475=$35.00

7 0

3 years ago

18 × (-2) ÷ 5 enter your anwser in decimal form

Blizzard [7]

Answer:

7.2

Step-by-step explanation:

first divide -2 by 5= -2/5

multiply 18 by -2/5=-36/5

divide 36 by 5=7.2

4 0

2 years ago