PLEASE ANSWER! 15 POINTS

larisa86 [58]

Answer:

A. Right Triangle

D. Isosceles

Step-by-step explanation:

Well, since it has a square at the bottom of the triangle, it means it's a right triangle, because it has a 90 degree angle.

It is also an isosceles triangle, because two of the sides are of equal length.

Hope this helped!

:)

4 0

3 years ago

Use the given data to find a regression line that best fits the price-demand data for price p in dollars as a function of the de

Rufina [12.5K]

Answer:

$m=-\frac{7600}{8250}=-0.921$

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

$\bar x= \frac{\sum x_i}{n}=\frac{550}{10}=55$

$\bar y= \frac{\sum y_i}{n}=\frac{1042}{10}=104.2$

And we can find the intercept using this:

$b=\bar y -m \bar x=104.2-(-0.921*55)=104.707$

So the line would be given by:

$y=-0.921 x +104.707$

Step-by-step explanation:

For this case we have the following data given:

Demand (x): 10,20,30,40,50,60,70,80,90,100

Price (y): 141 , 133,126, 128,113,97, 90, 82,79,53

We want to construct a linear model like this:

$y = mx +b$

For this case we need to calculate the slope with the following formula:

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

Where:

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

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

So we can find the sums like this:

$\sum_{i=1}^n x_i =550$

$\sum_{i=1}^n y_i =1042$

$\sum_{i=1}^n x^2_i =38500$

$\sum_{i=1}^n y^2_i =115882$

$\sum_{i=1}^n x_i y_i =49710$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=38500-\frac{550^2}{10}=8250$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=49710-\frac{550*1042}{10}=-7600$

And the slope would be:

$m=-\frac{7600}{8250}=-0.921$

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

$\bar x= \frac{\sum x_i}{n}=\frac{550}{10}=55$

$\bar y= \frac{\sum y_i}{n}=\frac{1042}{10}=104.2$

And we can find the intercept using this:

$b=\bar y -m \bar x=104.2-(-0.921*55)=104.707$

So the line would be given by:

$p(x)=-0.921 x +104.707$

4 0

3 years ago

Could I have help with number 2?

Romashka [77]

Answer:

Angle 3x = 75 x=25

Angle y=105

Step-by-step explanation:

The angle that measures 75° and the angle that measures 3x are both verticals angles. By using the Verticle angle theorem we can conclude that they are congruent. Therefore, 3x=75.

To find y, you can conclude that the angle that measures 75 is supplementary to angle y. Therefore, you minus 75 from 180 to get your value of y, 105.

7 0

4 years ago

A. Compute the opportunity cost in forgone consumer goods (millions of pounds of butter) for each additional unit of military ou

galina1969 [7]

The opportunity cost of producing 3 military outfits is -30.

The opportunity cost of producing 4 military outfits is -35.

The opportunity cost of producing 5 military outfits is -50.

As military outfits increase, the opportunity cost decreases.

<h3>What is opportunity cost?</h3>

Opportunity cost of the next best option forgone when one alternative is chosen over other alternatives. It is the number of consumer products that would not be produced when a producer decides to produce military outfits instead.

<h3>What is the opportunity cost of producing military outfits?</h3>

Opportunity cost = change in consumer products / change in military

The opportunity cost of producing 3 military outfits = (85 - 115) / (3 - 2) = -30

The opportunity cost of producing 4 military outfits = (50 - 85) / (4 - 3) = -35

The opportunity cost of producing 5 military outfits = (0 - 50) / (5 - 4) = -50

To learn more about opportunity cost, please check: brainly.com/question/26315727

7 0

3 years ago

Find the number missing from the following equivalent fractions:4/11= ?/66

nekit [7.7K]

Answer:

24

Step-by-step explanation:

whatever you add or divide to the numerator, you do to the denominator. the same occurs the other way round,too.

If 11 is multiplied by 6 to give 66.

then, 4 should also be multiplied by 6, for the equivalent fraction. This gives you 24.

Hope this helps. Good Luck

5 0

3 years ago

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