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Stella [2.4K]
3 years ago
9

"six less than the quotient of a number cubed and nine, increased by twelve" when n =3

Mathematics
1 answer:
Fantom [35]3 years ago
6 0

Answer:

9

Step-by-step explanation:

Make your equation:

((n^3/9)-6)+12

Substitute in 3 for n:

((3^3/9)-6)+12

Simplify and solve:

3^3=27

27/9=3

3-6=-3

-3+12=9

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The answer is C

Step-by-step explanation:

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If a hurricane was headed your way, would you evacuate? The headline of a press release issued January 21, 2009 by the survey re
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Answer:

The 98% confidence interval for population proportion of people who refuse evacuation is {0.30, 0.33].

Step-by-step explanation:

The sample drawn is of size, <em>n</em> = 5046.

As the sample size is large, i.e. <em>n</em> > 30, according to the Central limit theorem the sampling distribution of sample proportion will be normally distributed with mean \hat p and standard deviation \sqrt{\frac{\hat p (1-\hat p)}{n} }.

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The confidence interval for single proportion is:

CI_{p}=[\hat p-z_{(\alpha /2)}\times\sqrt{\frac{\hat p (1-\hat p)}{n} },\ \hat p+z_{(\alpha /2)}\times\sqrt{\frac{\hat p (1-\hat p)}{n} }]

Here z_{(\alpha /2)} = critical value and <em>α </em>= significance level.

Compute the value of <em>α</em> as follows:

\alpha =1-CL\\=1-0.98\\=0.02

For <em>α</em> = 0.02 the critical value can be computed from the <em>z</em> table.

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The 98% confidence interval for population proportion is:

CI_{p}=[\hat p-z_{(\alpha /2)}\times\sqrt{\frac{\hat p (1-\hat p)}{n} },\ \hat p+z_{(\alpha /2)}\times\sqrt{\frac{\hat p (1-\hat p)}{n} }]\\=[0.31-2.33\times \sqrt{\frac{0.31\times(1-0.33)}{5046} },\ 0.31+2.33\times \sqrt{\frac{0.31\times(1-0.33)}{5046} } ]\\=[0.31-0.0152,\ 0.31+0.0152]\\=[0.2948,0.3252]\\\approx[0.30,\ 0.33]

Thus, the 98% confidence interval [0.30, 0.33] implies that there is a 0.98 probability that the population proportion of people who refuse evacuation is between 0.30 and 0.33.  

7 0
3 years ago
52 is what percent of 156
siniylev [52]
The answer is 33.33…(repeating decimal).
Work:
(52)(100)=5,200
5,200/156=33.33…
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