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Dvinal [7]
2 years ago
14

the height of the gateway arch show on the missouri quarter is 630 feet, or 7,560 inches. find how many 4-inch stacks for quarte

rs make up the height of the gateway arch. if theres 58 quarters in a 4-inch stack, how many quarters high is the arch?
Mathematics
1 answer:
german2 years ago
8 0
To find how many stacks of quarters there are we must divide 7,560 by 4.

7,560 / 4 = 1,890

There are 1,890 4-inch stacks. To find how many quarters are in all the stacks, we multiple 1,890 by 58.

1,890 * 58 = 102,060

The arch is 102,060 quarters high
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An automobile manufacturer would like to know what proportion of its customers are not satisfied with the service provided by th
monitta

Answer:

a) n =1623

b) ME=2.0538\sqrt{\frac{0.21 (1-0.21)}{1623}}=0.0208    

Step-by-step explanation:

1) Notation and definitions

n random sample taken

\hat p=0.19 estimated proportion of customers are not satisfied with the service provided by the local dealer

Confidence =0.96 or 96%

Me= 0.02 represent the margin of error

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}})

Part a

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 96% of confidence, our significance level would be given by \alpha=1-0.96=0.04 and \alpha/2 =0.02. And the critical value would be given by:

z_{\alpha/2}=-2.0538, z_{1-\alpha/2}=2.0538

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 on this case we have that ME =\pm 0.02 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.19(1-0.19)}{(\frac{0.02}{2.0538})^2}=1622.912  

And rounded up we have that n=1623

Part b

The margin of error is given by:

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

So then if w replace the value of n obtained from part a we got:

ME=2.0538\sqrt{\frac{0.21 (1-0.21)}{1623}}=0.0208    

3 0
3 years ago
Elle can buy 2 quarts of milk for $3 or 1 gallon of milk for $3, Which Is The Better Deal.... Because Im not sure..
GrogVix [38]
1 gallon is equal to 4 quarts. 

So you can either get 2 quarts for $3, or 4 quarts for 3$

1 gallon is the better deal.
5 0
3 years ago
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ABD its ABD Please please
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