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tankabanditka [31]
1 year ago
14

If you predict the population of Hamilton County in 2003, are you interpolating or extrapolating?

Mathematics
1 answer:
Hitman42 [59]1 year ago
5 0

Given,

The population of the county in 2000 is 844.

The population of the county in 2009 is 856.

The population of the county in 2015 is 810.

Here, the population of 2000 and 2009 is given.

As known, the value changes linearly between two points.

When the value changes linearly between two points, then value of point between given points can be obtained by interpolation.

Hence, to predict the population of county interpolation is used.

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Answer:

4/7=116/203

Step-by-step explanation:

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4х — Зу = - 16 х+ бу = 25 ​
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24% of 289 estimated using<br> a rate per 100
zaharov [31]

Answer:

The answer would be 40!

Step-by-step explanation:

Estimating ~ rounding

I would round 24% (20%), and 289 (300).

using the formula:

is/of \\ = %/100,

I'm looking for "IS"

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Then I divide by 100 to get the "IS".

That's how I got my answer!

Hope this helps!

6 0
3 years ago
The XO Group Inc. conducted a survey of 13,000 brides and grooms married in the United States and found that the average cost of
slavikrds [6]

Answer:

a) 0.0392

b) 0.4688

c) At least $39,070 to be among the 5% most expensive.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 29858, \sigma = 5600

a. What is the probability that a wedding costs less than $20,000 (to 4 decimals)?

This is the pvalue of Z when X = 20000. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{20000 - 29858}{5600}

Z = -1.76

Z = -1.76 has a pvalue of 0.0392.

So this probability is 0.0392.

b. What is the probability that a wedding costs between $20,000 and $30,000 (to 4 decimals)?

This is the pvalue of Z when X = 30000 subtracted by the pvalue of Z when X = 20000.

X = 30000

Z = \frac{X - \mu}{\sigma}

Z = \frac{30000 - 29858}{5600}

Z = 0.02

Z = 0.02 has a pvalue of 0.5080.

X = 20000

Z = \frac{X - \mu}{\sigma}

Z = \frac{20000 - 29858}{5600}

Z = -1.76

Z = -1.76 has a pvalue of 0.0392.

So this probability is 0.5080 - 0.0392 = 0.4688

c. For a wedding to be among the 5% most expensive, how much would it have to cost (to the nearest whole number)?

This is the value of X when Z has a pvalue of 0.95. So this is X when Z = 1.645.

Z = \frac{X - \mu}{\sigma}

1.645 = \frac{X - 29858}{5600}

X - 29858 = 5600*1.645

X = 39070

The wedding would have to cost at least $39,070 to be among the 5% most expensive.

5 0
3 years ago
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