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Rina8888 [55]
4 years ago
6

-6.59 written as a fraction is _____

Mathematics
1 answer:
Sidana [21]4 years ago
3 0
First multiply -6.59 by 100: -6.59*100=-659
Next you place -659 over 100: \frac{-659}{100}
Final Answer: <span>\frac{-659}{100}</span>
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Sean answered 18 of 20 quiz questions correctly. What percent of the quiz questions did Sean answer correctly?
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The following confidence interval for the population proportion for how many U.S. adults do not get enough fruits and vegetables
Zielflug [23.3K]

Answer:

The interval is constructed at 93% confidence.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the difference between these two bounds, divided by 2.

Confidence interval of proportions concepts:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In this problem, we have that:

2050 people, so n = 2050.

Lower bound: 0.878

Upper bound: 0.903

\pi = \frac{0.878 + 0.903}{2} = 0.8905

M = \frac{0.903 - 0.878}{2} = 0.0125

Confidence level:

We have to find z.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.0125 = z\sqrt{\frac{0.8905*0.1095}{2050}}

0.0069z = 0.0125

z = \frac{0.0125}{0.0069}

z = 1.81

z = 1.81 has a pvalue of 0.965.

That is:

]1 - \frac{\alpha}{2} = 0.965

\frac{\alpha}{2} = 0.035

\alpha = 2*0.035

\alpha = 0.07

Finally

1 - \alpha = 1 - 0.07 = 0.93

The interval is constructed at 93% confidence.

3 0
3 years ago
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