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asambeis [7]
3 years ago
10

ILL GIVE BRAINLIEST! PLEASE ANSWER IF YOU SEE THIS!!! David has a container filled with quarters and nickels. He has 29 coins wh

ich add up to $5.85. How many quarters does he have?
Mathematics
2 answers:
masha68 [24]3 years ago
5 0
22 quarters and 7 nickels
Vilka [71]3 years ago
3 0
David has 22 quarters and 7 nickels.
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In a study relating the degree of warping, in mm, of a copper plate (y) to temperature in °C (x), the following summary statisti
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We need to find an equation of the form

y = b + mx

where m is the slope and b the Y-intercept.

The slope m can be computed with the formula

\bf m=\displaystyle\frac{\displaystyle\sum_{i=1}^n(x_i-\bar x)(y_i-\bar y)}{\displaystyle\sum_{i=1}^n(x_i-\bar x)^2}

Replacing the values in our formula (we will round at the end of the calculations)

\bf m=\displaystyle\frac{806.94}{98,775}=0.008169476

the Y-intercept b is computed with the formula

\bf b=\bar y-m\bar x

therefore we have

\bf b=0.5188-0.008169476*26.36=0.303452613

and the least-squares line rounded to 4 decimals would be

y = 0.3035 + 0.0082x

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We simply replace x with 40 to get

y = 0.3035 + 0.0082*40 = 0.6315 mm

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Here, we replace y with 0.5 and solve for x

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x = 23.9634 °C

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