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Maurinko [17]
3 years ago
7

Round to nearest centimeter 80.5 cm is how many cm?

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
7 0
Its 81 centimeters because you round 5 and over. So nearest centimeter means 2 whole numbers which is 81
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3. Using the sample size of 800 and the proportion 0.47, calculate the margin of error associated with the estimate of the propo
salantis [7]

Answer:

ME=1.96\sqrt{\frac{0.47 (1-0.47)}{800}}=0.0346  

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

We assume for this case a confidence level of 95%. In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The confidence interval for the mean is given by the following formula:  

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

The margin of error for the proportion interval is given by this formula:  

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

And if we replace the values obtained we got this:

ME=1.96\sqrt{\frac{0.47 (1-0.47)}{800}}=0.0346  

6 0
2 years ago
Is 4*10^4 greater than 3*10^5
Lerok [7]

717177Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the least common multiple of 2, 6, 8, and 12?
Assoli18 [71]
24 because it’s the lowest multiple of 12 that’s also in 2,6 and 8
7 0
2 years ago
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The chart below summarizes Ralph's annual expenses for the upcoming year. Based on the information in the graph, approximately w
kenny6666 [7]

Answer:

The Federal taxes of total budget is 30%

C is correct.

Step-by-step explanation:

The chart below summarizes Ralph's annual expenses for the upcoming year.

We need to find the percentage for federal taxes.

First we find total annual budget from chart. We will add all the taxes.

Total annual budget = Federal taxes + State tax + Housing +  Food + Medical +  

                                     Transportation + Recreation

Total Annual Budget = 18380 + 3448 + 15000 + 4880 + 6652 + 4332 + 3500 +

                                       3260 + 1750

                                  =  61202

Total Annual Budget = $61,202

           Federal Taxes =  $18,380

Now, we will find the percentage of federal taxes.

            % of federal taxes =\dfrac{18380}{61202}\times 100

                                           =30.03\approx 30\%

Hence, The Federal taxes of total budget is 30%

7 0
3 years ago
Read 2 more answers
Pls say the answer :( pls say it
Aleksandr [31]

Refer to the pic ...(◕ᴗ◕✿)✌️✌️

4 0
3 years ago
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