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Delicious77 [7]
3 years ago
7

The second hand on a clock is

Mathematics
1 answer:
VikaD [51]3 years ago
7 0

Answer:

8.37 cm rounded

Step-by-step explanation:

C = 2π r

C = 2π (8)

C = 16 π

C = 50.24

1/6 ( 50.24)= 8.37

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A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 ​respondents,
RoseWind [281]

Answer:

The statement that​ "the margin of error was given as \pm5 percentage​ points" means that the population proportion is estimated to be with a certain level of confidence, within the interval \hat{p} \pm 0.05 ; where \hat{p}[tex] is the sample's proportion. The correct answer is C. The statement indicates that the interval [tex]0.14\pm0.05 is likely to contain the true population percentage of people that prefer chocolate pie.

Step-by-step explanation:

The margin of error for proportions is given by the following formula:

z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}

Where:

z_{\alpha /2} is the critical value that corresponds to the confidence level; the confidence level being 1-\alpha,

\hat{p} is the sample's proportion of successes,

n is the size of the sample.

In this exercise we have that \hat{p}=0.14 and that the margin of error is 0.05.

Therefore if we replace in the formula to calculate the confidence interval we get:

\hat{p}\pm 0.05=0.14\pm0.05=(0.09, 0.19)

Which means that the true population proportion is estimated to be, with a certain confidence level, within the interval (0.09, 0.19).

7 0
3 years ago
If g(x)= 3x-1 solve for x when g(x)=-20.
Nadya [2.5K]

Good evening

Answer:

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Step-by-step explanation:

g(x) = -20

⇔

3x-1 = -20

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3x = -19

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x = -19/3

____________________

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Answer:

<h3>m = - 4</h3>

<h2>Solved in the attachment!! </h2>

Step-by-step explanation:

<h2>HOPE IT HELPS YOU!!</h2>

7 0
2 years ago
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