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3 years ago

Jane’s favorite fruit punch consists of pear, pineapple, and plum juices in the ratio 5:2:3.

Mathematics

2 answers:

Slav-nsk [51]3 years ago

7 0

Answer:

20cups

Step-by-step explanation:

If Jane’s favorite fruit punch consists of pear, pineapple, and plum juices and are divided in the ratio 5:2:3, the total mixture will be addition of all the ratio which gives;

5+2+3 = 10

If she had only 6cups of plum juice, the total cups of juice made can be calculated as shown;

3/10 × x = 6 where x is the total cup of juices she made.

Note that the ratio of the plum juice was divided by the total in the calculation since that's the only data given.

From the equation above;

3/10 × x = 6

3x/10 = 6

cross multiplying

3x = 60

x = 60/3

x = 20

Therefore the total punch made by her was 20cups

zmey [24]3 years ago

3 0

Assuming your ratio of 5:2:3 is in cups, Jane should have a ratio of 10:4:6

Hope this helps.

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Answer:

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Step-by-step explanation:

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4 years ago

Modern medical practice tells us not to encourage babies to become too fat. Is there a positive correlation between the weight x

Anna11 [10]

Answer:

a) Figure attached

b) $y=1.31 x +98.57$

c) The correlation coefficient would be r =0.47719

d) $y=1.31 x +98.57=1.31*21 + 98.57 =126.08$

Step-by-step explanation:

(a) Draw a scatter diagram for the data.

See the figure attached

(b) Find x, y, b, and the equation of the least-squares line. (Round your answers to three decimal places.) x =__ y =__ b =__ y =__ + __x

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=6576-\frac{300^2}{14}=147.429$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=38186-\frac{300*1773}{14}=193.143$

And the slope would be:

$m=\frac{193.143}{147.429}=1.31$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{300}{14}=21.429$

$\bar y= \frac{\sum y_i}{n}=\frac{1773}{14}=126.643$

And we can find the intercept using this:

$b=\bar y -m \bar x=126.643-(1.31*21.429)=98.571$

So the line would be given by:

$y=1.31 x +98.57$

(c) Find the sample correlation coefficient r and the coefficient of determination r?2. (Round your answers to three decimal places.)

n=14 $\sum x = 300, \sum y = 1773, \sum xy=38186, \sum x^2 =6576, \sum y^2 =225649$

And in order to calculate the correlation coefficient we can use this formula:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

$r=\frac{14(38186)-(300)(1773)}{\sqrt{[14(6576) -(300)^2][14(225649) -(1773)^2]}}=0.9534$

So then the correlation coefficient would be r =0.47719

What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.)

The % of variation is given by the determination coefficient given by $r^2$ and on this case $0.47719^2 =0.2277$ , so then the % of variation explaines is 22.8%.

(d) If a female baby weighs 21 pounds at 1 year, what do you predict she will weigh at 30 years of age? (Round your answer to two decimal places.) ___ lb

So we can replace in the linear model like this:

$y=1.31 x +98.57=1.31*21 + 98.57 =126.08$

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Answer:

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3 years ago

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kenny6666 [7]

Answer:

x + 6 = 33

Step-by-step explanation:

6 more than x means there's an increment in the value of x by addition of 6

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This leads to an algebraic linear equation. x is an unknown variable and can be solved for

we subtract 6 from both sides of the equation

x + 6 - 6 = 33 - 6

x = 27

Therefore, we can say 6 more than 27 is 33

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