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azamat
3 years ago
15

Let the positive numbers a, b, c. Prove that

7B2013%7D%20%7D%7Ba%5E%7B2012%7D%2Bb%5E%7B2012%7D%2Bc%5E%7B2012%7D%7D%20%5Cgeq%20%5Cfrac%7Ba%2Bb%2Bc%7D%7B3%5C%5C%7D" id="TexFormula1" title="\frac{a^{2013}+b^{2013}+c^{2013} }{a^{2012}+b^{2012}+c^{2012}} \geq \frac{a+b+c}{3\\}" alt="\frac{a^{2013}+b^{2013}+c^{2013} }{a^{2012}+b^{2012}+c^{2012}} \geq \frac{a+b+c}{3\\}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Serggg [28]3 years ago
7 0

Answer:

I don't need to prove it, I already believe you

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3/7 of a number is 15,what is the number
tatyana61 [14]

Answer:


The answer is 35

Step-by-step explanation:

If you do 15 divided by 3/7 you herb 35 you can check it by doing 3/7 of 35 and you get 15


8 0
3 years ago
Which shows a perfect square trinomial?
Furkat [3]
Both (m + n)2<span> and 36 are </span>perfect<span> squares, and 12(m + n) is twice the product of (m + n) and 6. Since the middle term is positive, the pattern is (a + b)</span>2<span> = a</span>2<span> + 2ab + b</span>2. Place the x2<span> tile, 4 x-tiles and 4 1-tiles in the grid. Fill the outside sections of the grid with x-tiles and 1-tiles that complete the pattern.</span>
4 0
4 years ago
Below are three different hypothesis tests about population proportions. For each test, use StatKey and the information given to
Ilia_Sergeevich [38]

Answer:

1a) p-hat=0.38

1b) P=0.08

1c) The null hypothesis is not rejected

2a) p-hat=0.64

2b) P=0.0027

2c) The null hypothesis is rejected

3a) p-hat=0.55

3b) P=0.153

3c) The null hypothesis is not rejected

Step-by-step explanation:

(1) H0: p = 0.3 vs Ha: p ≠ 0.3. In their survey, they had a count of 38 using a sample size n=100.

1a) The p-hat is p-hat=38/100=0.38.

1b) The standard deviation is

\sigma=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.3*0.7}{100}}=0.046

The sample size is n=100.

The z-value is:

z=\frac{\hat{p}-p}{\sigma}=\frac{0.38-0.3}{0.046}=\frac{0.08}{0.046}= 1.74

As it is a two-sided test, the p-value considers both tails of the distribution.

The p-value for this |z|=1.74 is P=0.08.

1c) The null hypothesis is not rejected.

(2) H0: p = 0.7 vs Ha: p ≠ 0.7. In their survey, they had a count of 320 using a sample size n=500.

2a) The p-hat is p-hat=320/500=0.64.

2b) The standard deviation is

\sigma=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.7*0.3}{500}}=0.02

The sample size is n=500.

The z-value is:

z=\frac{\hat{p}-p}{\sigma}=\frac{0.64-0.7}{0.02}=\frac{-0.06}{0.02}=-3

As it is a two-sided test, the p-value considers both tails of the distribution.

The p-value for this |z|=3 is P=0.0027.

2c) The null hypothesis is rejected.

(3) H0: p = 0.6 vs Ha: p < 0.6. In their survey, they had a count of 110 using a sample size n=200.

2a) The p-hat is p-hat=110/200=0.55.

2b) The standard deviation is

\sigma=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.6*0.4}{200}}=0.035

The sample size is n=200.

The z-value is:

z=\frac{\hat{p}-p}{\sigma}=\frac{0.55-0.6}{0.035}=\frac{-0.05}{0.035}=-1.43

As it is a two-sided test, the p-value considers both tails of the distribution.

The p-value for this |z|=1.43 is P=0.153.

2c) The null hypothesis is not rejected.

8 0
3 years ago
50 POINTS AND BRAINLIEST
algol [13]
From the left (x\to2^-) the function is clearly approaching 5, while from the right (x\to2^+) it is approaching -2.
8 0
3 years ago
Ned took a test with 20 questions. He lost 5 points for each of the 8 questions he got wrong and earned an additional 11 points
katrin2010 [14]

Answer:

He lost 29 points

Step-by-step explanation:

He lost 29 points. He lost 5 points for each of the 8 questions so -5 x 8 = -40 points, then add 11 = -29

8 0
3 years ago
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