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Vladimir [108]
3 years ago
10

I just need to find out the last question that is in red. I don't know how to find the year when the median house values will be

equal. I'm really confused about how to find it

Mathematics
1 answer:
Ganezh [65]3 years ago
5 0

Answer:

1924.3

Step-by-step explanation:

Ok

You need to write an expression for the change in value

the change is linear, so you will get a line equation y = mx + b

y-axys : value

x-axys : years

New Hampshire:

Slope = \frac{133300-37600}{2000-1950} = 1914

the y-intercept will be 37600 because you can assume that 1950 = 0, and 2000 = 50

y = 1914*x + 37600

Massachussets:

Slope = \frac{185700-55400}{2000-1950} = 2606

Same as above, the y-intercept is 55400

y = 2606*x + 55400

Now you need to equal the value for both and find the year "x"

1914x + 37600 = 2606x + 55400

- 692x = 17800

x = -25.7

Since i considered x = 0 to be 1950; the actual year is 1950 - 25.7 = 1924.3

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Step-by-step explanation:

8 0
2 years ago
In a survey, the planning value for the population proportion is p* = 0.35. How large a sample should be taken to provide a 95%
lions [1.4K]

Answer:

n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.59  

And rounded up we have that n=350  

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".  

p represent the real population proportion of interest

\aht p represent the estimated proportion for the sample

n is the sample size required (variable of interest)

z represent the critical value for the margin of error

Solution to the problem

The population proportion have the following distribution  

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

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 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 0.05 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{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.59  

And rounded up we have that n=350  

6 0
3 years ago
What is the reciprocal of 159?
wariber [46]
<h2>Hey there! </h2>

<h2>The Reciprocal of 159 is:</h2>

\frac{1}{159}

{where \: 1 \: is \: hidden}

<h2>Hope it help you </h2>
5 0
3 years ago
simplify 3/18 ??????????????????????????????????????????????????????????????????????????????????????????????????????????????????
Anna [14]
The simplified version of 3/18 is 1/6
7 0
3 years ago
Honestly help I’m slow
SashulF [63]

Answer:

46 degrees

Step-by-step explanation:

x equals 23 so just multiply by 2

4 0
3 years ago
Read 2 more answers
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