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Nadusha1986 [10]
1 year ago
10

Can I get help ? It counts as 50% as my grade lol. I got more ..

Mathematics
1 answer:
Law Incorporation [45]1 year ago
6 0

Using proportions, the number of 1/4 cup servings that she can make is given by:

B. 3 and 5/9.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For this problem, considering that Susie has 8/9 of a cup, the following <u>rule of three</u> is established:

1 serving - 1/4 cups

x servings - 8/9 cups

Applying cross multiplication:

\frac{x}{4} = \frac{8}{9}

9x = 32

x = 32/9

Since 32 divided by 9 has quotient 3 with remainder 5, the correct option is given by:

B. 3 and 5/9.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

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Step-by-step explanation:

The general form of a linear regression is:

y=a+bx

Here,

<em>y</em> = dependent variable

<em>x</em> = independent variable

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Compute the values of <em>a</em> and <em>b</em> as follows:

\begin{aligned}        a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} =             \frac{ 6857 \cdot 55 - 15 \cdot 17558}{ 6 \cdot 55 - 15^2} \approx 1083.476 \\ \\b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        = \frac{ 6 \cdot 17558 - 15 \cdot 6857 }{ 6 \cdot 55 - \left( 15 \right)^2} \approx 23.743\end{aligned}

The linear regression equation that represents  the set of data is:

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Compute the predicted value of the number of new cases for 2013 (i.e. <em>x</em> = 12) as follows:

y=1083.48+23.73x

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Thus, the predicted number of new cases for 2013 is 1368.

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