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3 years ago

What is the value of x?

Mathematics

1 answer:

stiks02 [169]3 years ago

4 0

Answer:

$X= 15$

Step-by-step explanation:

Since the angles are equal the equation to solve would be:

$3x + 20 = 5x - 50$

you will subtract 3x from 5x and get 2x

$20 = 2x -50$

subtract 20 from 50 to get 30

$2x= 30$

divide each side by 2

$\frac{2x}{2} = \frac{30}{2}$

$X= 15$

Hope this helps

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Assume you have noted the following prices for books and the number of pages that each book contains. Book Pages (x) Price (y) A

belka [17]

Answer:

a) $y=0.00991 x +1.042$

b) $r^2 = 0.7503^2 = 0.563$

c) $r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

Step-by-step explanation:

Data given

x: 500, 700, 750, 590 , 540, 650, 480

y: 7.00, 7.50 , 9.00, 6.5, 7.50 , 7.0, 4.50

Part a

We want to create a linear model like this :

$y = mx +b$

Wehre

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

And:

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

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

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=2595100-\frac{4210^2}{7}=63085.714$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=30095-\frac{4210*49}{7}=625$

And the slope would be:

$m=\frac{625}{63085.714}=0.00991$

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

$\bar x= \frac{\sum x_i}{n}=\frac{4210}{7}=601.429$

$\bar y= \frac{\sum y_i}{n}=\frac{49}{7}=7$

And we can find the intercept using this:

$b=\bar y -m \bar x=7-(0.00991*601.429)=1.042$

And the line would be:

$y=0.00991 x +1.042$

Part b

The correlation coefficient is given by:

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

For our case we have this:

n=7 $\sum x = 4210, \sum y = 49, \sum xy = 30095, \sum x^2 =2595100, \sum y^2 =354$

$r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

The determination coefficient is given by:

$r^2 = 0.7503^2 = 0.563$

Part c

$r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

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3 years ago

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tatuchka [14]

Answer:

Step-by-step explanation:

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3 years ago

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Zepler [3.9K]

Answer:

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3 years ago

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Vitek1552 [10]

Answer:

There is exactly 1 solution and it is a double root.

Step-by-step explanation:

To find this, factor the equation and solve.

x^2 + 10x - 25 = 0

(x - 5)(x - 5) = 0

Now that we have this factored, we can set each parenthesis equal to 0 and solve separately.

x - 5 = 0

x = 5

x - 5 = 0

x = 5

Because there are two of the exact same answer, we know it to be a double root.

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3 years ago

The areas of two similar triangles are 72dm2 and 50dm2. The sum of their perimeters is 226dm. What is the perimeter of each of t

Digiron [165]

Answer:

123 3/11 dm
102 8/11 dm

Step-by-step explanation:

The ratio of the linear dimensions (perimeter) is the square root of the ratio of area dimensions, so the larger : smaller ratio is ...

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The sum of ratio units is 1.2 + 1 = 2.2, so each ratio unit stands for ...

(226 dm)/2.2 = 102 8/11 dm . . . . . the perimeter of the smaller triangle

Then the perimeter of the larger triangle is ...

1.2 × 102 8/11 dm = 123 3/11 dm . . . . the perimeter of the larger triangle

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3 years ago

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