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3 years ago

What is a quadrilateral Triangle

Mathematics

2 answers:

AlekseyPX3 years ago

5 0

A quadrilateral is a figure that has 4 straight sides that are equal.

VashaNatasha [74]3 years ago

4 0

<h3>Se llama así cualquier cuadrilátero en el cual una de sus diagonales sirve de eje de simetría. Por ejemplo: el rombo, el deltoide, el cuadrado. El rectángulo es un cuadrilátero que simultáneamente cumple las características de: Paralelogramo, al ser paralelos sus lados opuestos.</h3>

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Answer:

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3 years ago

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Schach [20]

Answer:

The circumference is 75.36 inches.

Step-by-step explanation:

Hi there! Please take a look at the following explanation and let me know in the comment if you have any doubts!

<h3>Given:</h3>

We are given the <u>radius</u> that’s equal to <u>12 inches</u> and π = <u>3.14</u>

<h3>Problem:</h3>

We want to find <u>the circumference</u>.

<h3>Circumference Formula:</h3>

$\displaystyle \large{C=2\pi r}$ which simply means <em>circumference = 2*π*radius</em> or sometimes can also be written as $\displaystyle \large{C=\pi d}$ which means <em>circumference = π*diameter </em>since 2r means two times of radius and that’s technically diameter.

Determine the following:

π = 3.14 as given
r = 12 as given

Apply the circumference formula.

$\displaystyle \large{C=2\cdot 3.14 \cdot 12}\\\\\displaystyle \large{C = 24 \cdot 3.14}\\\\\displaystyle \large{C=75.36}$

Hence, the circumference is <u>75.36 inches</u>.

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2 years ago

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Toni decided to build a rectangular concrete patio 6 feet wide all around her pool.

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Step-by-step explanation:

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3 years ago

Marjorie has 28 feet of trim to use as edging on a rectangular blanket she wants to make. What is the length and width of two bl

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3 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:

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

7 0

3 years ago