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erastova [34]
3 years ago
8

Which of the following would be a reasonable estimate for the weight of a pencil?

Mathematics
1 answer:
kakasveta [241]3 years ago
6 0
The answer should be A 
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C is the answer !!!!!!!!!
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Polynomial division help pls!!
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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
If the volume of a cube-shaped compost bin is 27 cubic feet. What is the edge length of the compost bin?
Alex787 [66]

Cube = all sides same length, which equals A*A*A = 27 Which is the same as A^3 = 27 Therefore,the cube root is +/-3, but as it is length, must be positive, so is +3

3 0
3 years ago
Solve this inequality:
Arturiano [62]

Answer:

x > -6.

Step-by-step explanation:

16x - 33x < -12x + 30

Add 12x to both sides:

16x - 33x + 12x < 30

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-5x < 30

x > 30/-5

x > -6

(Note the inequality signs flips because we are dividing by negative 5).

3 0
3 years ago
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