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IRISSAK [1]
2 years ago
9

There is a crab on the ocean for 60 feet below sea level in a bird 120 feed in the air. how far apart are the crab in the bird?

Mathematics
1 answer:
Step2247 [10]2 years ago
4 0
The answer is the crab and the bird are 180 feet apart
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Suppose that a local TV station conducts a survey of a random sample of 120 registered voters in order to predict the winner of
forsale [732]

Answer:

a) The 99% CI for the true proportion of voters who prefer the Republican candidate is (0.3658, 0.6001). This means that we are 99% sure that the true population proportion of all voters who prefer the Republican candidate is (0.3658, 0.6001).

b) The upper bound of the confidence interval is above 0.5 = 50%, which meas that the candidate can be confidence of victory.

Step-by-step explanation:

Question a:

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 z-score that has a p-value of 1 - \frac{\alpha}{2}.

Sample of 120 registered voters in order to predict the winner of a local election. The Democrat candidate was favored by 62 of the respondents.

So 120 - 62 = 58 favored the Republican candidate, so:

n = 120, \pi = \frac{58}{120} = 0.4833

99% confidence level

So \alpha = 0.01, z is the value of Z that has a p-value 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}} = 0.4833 - 2.575\sqrt{\frac{0.4833*0.5167}{120}} = 0.3658

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4833 + 2.575\sqrt{\frac{0.4833*0.5167}{120}} = 0.6001

The 99% CI for the true proportion of voters who prefer the Republican candidate is (0.3658, 0.6001). This means that we are 99% sure that the true population proportion of all voters who prefer the Republican candidate is (0.3658, 0.6001).

b. If a candidate needs a simple majority of the votes to win the election, can the Republican candidate be confident of victory? Justify your response with an appropriate statistical argument.

The upper bound of the confidence interval is above 0.5 = 50%, which meas that the candidate can be confidence of victory.

8 0
3 years ago
Diego wants to find 4 1/5 - 7/10 .. Explain why he must rename 4 1/5 in order to do the subtraction?
nevsk [136]

Answer:

<u>The result is 3 1/2 and this is the explanation why Diego must convert 4 1/5 from mixed number to improper fraction.</u>

Step-by-step explanation:

These are the steps Diego should follow to find 4 1/5 - 7/10:

Step 1: Convert all mixed numbers into improper fractions.

4 1/5 = 21/5 - 7/10

Step 2: Find a common denominator between the improper fractions. When necessary, create equivalent fractions.

21/5 = 42/10 - 7/10

Step 3: Add or subtract the numerators and keep the denominator the same.

42 - 7 = 35/10

Step 4: If the answer is an improper form, reduce the fraction into a mixed number.

35/10 = 3 5/10 = 3 1/2

<u>The result is 3 1/2 and this is the explanation why Diego must convert 4 1/5 from mixed number to improper fraction.</u>

4 0
3 years ago
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