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jasenka [17]
3 years ago
10

The table below shows the average lengths and wingspans, in inches, for five types of birds. The lengths measure from the bill t

o the tail and the wingspans measure from tip to tip.
Length (x) 3.75 8.8 13.58 22.65 34
Wingspan (y) 4.25 10 26.77 34.85 80.4

The line of best fit for the situation is . ------------------------------

If the length of a bird is 45 inches, its wingspan would be would be approximately -----------------inches.

NextReset

Mathematics
2 answers:
emmasim [6.3K]3 years ago
5 0

Answer:

The plato answer is this>

Step-by-step explanation:

SCORPION-xisa [38]3 years ago
4 0
<span><span>Given:
Type of bird      length     wingspan
</span> <span> 1                       3.75         4.25
</span> <span> 2                       8.8          10
</span> <span> 3                     13.58        26.77
</span> <span> 4                     22.65        34.85
</span> <span> 5                     34             80.4

I used Excel to create the scatter plot and transferred it to paint to depict the line of best fit. Pls. see attachment.

1. Choose 2 points that are close to the best fit line. 
Based on my own graph, Bird 1 and 3 are the ones closest to the line of best fit. 
         x               y
</span></span>1     3.75         4.25 
3   13.58        26.77<span> 
</span><span>
2) Calculate the slope of the line using these two points.

slope,m = change in y / change in x
m = (26.77 - 4.25) / (13.58 - 3.75) = 22.52 / 9.83 = 2.29

m = 2.29

3) write the equation of the line using the value of m = 2.29

y - y1 = m(x-x1)
y - 4.25 = 2.29(x-3.75)

y = 2.29(x-3.75) + 4.25


</span><span>If the length of a bird is 45 inches, its wingspan would be would be approximately ___ inches.
</span>
We will use the above formula to answer the 2nd question.

y = 2.29(x-3.75) + 4.25
y = 2.29(45 - 3.75) + 4.25
y = 94.46 + 4.25
y = 98.71 inches.

<span>If the length of a bird is 45 inches, its wingspan would be would approximately be 98.71 inches.</span>
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Answer:

47.06% of the population has an IQ between 85 and 105.

Step-by-step explanation:

Problems of normally distributed samples are 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 = 100, \sigma = 15

What percent of the population has an IQ between 85 and 105?

This is the pvalue of Z when X = 105 subtracted by the pvalue of Z when X = 85. So

X = 105

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

Z = \frac{105 - 100}{15}

Z = 0.33

Z = 0.33 has a pvalue of 0.6293.

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

Z = \frac{85 - 100}{15}

Z = -1

Z = -1 has a pvalue of 0.1587

So 0.6293 - 0.1587 = 0.4706 = 47.06% of the population has an IQ between 85 and 105.

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If VW≅VY, WX = s + 69, and XY = 4s, what is the value of s?
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<h2>Answer:</h2>

The value of s is 23°

<h2>Step-by-step explanation:</h2><h3>Known :</h3>
  • VW = VY
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  • XY = 4s

<h3>Asked :</h3>
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<h3>Solution :</h3>

Since VW line and VY line has the same length, so the WX line and XY line should also have the same length.

4s = s + 69

4s - s = 69

3s = 69

s = 23°

<h3>Conclusion :</h3>

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Step-by-step explanation:

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but then we want to move the decimal 6 spaces to the right, so we multiply that by 10^6

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