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3 years ago

Carl owns a horse trailer that can transport up to 8000 pounds of livestock and tack.

Mathematics

1 answer:

bija089 [108]2 years ago

8 0

1st One

Reason: The total weight of the horses is 6240 and the weight of the tack is unknown. We know the max weight is 8000 so we know the total weight must be less then 8000

We know that the horses and tack must be equal or less than 8000

6240+t <(equal or less than) 8000

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A sample of 300 FM residents was taken and 135 said their favorite season was summer. Calculate a 99% confidence interval for th

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Answer:

The 99% confidence interval for the proportion of FM residents whose favorite season is summer is between (0.376, 0.524).

The lower bound of this interval is 0.376.

Step-by-step explanation:

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 $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 300, \pi = \frac{135}{300} = 0.45$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.45 - 2.575\sqrt{\frac{0.45*0.55}{300}} = 0.376$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.45 + 2.575\sqrt{\frac{0.45*0.55}{300}} = 0.524$

The 99% confidence interval for the proportion of FM residents whose favorite season is summer is between (0.376, 0.524).

The lower bound of this interval is 0.376.

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Answer:

≈ 93.06 cm²

Step-by-step explanation:

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