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2 years ago

Which of the following is the value of m? A. 18.5 B. 14.5 C. 29

Mathematics

2 answers:

Elanso [62]2 years ago

7 0

The answer is 14.5 because :

2 times 2?5 = 5 so the denominator must have the same done, so 7.5 x 2.5 is 17.5. Subtract 3 from 7.5 and you get 14 .5 . So, m+ 14.5

Citrus2011 [14]2 years ago

4 0

Hello!!
So here we just need to solve for m.

2/7=5/(m+3)

First multiply both sides by 7 to move the 7 from the LHS to the RHS so now we have

2=35/m+3 now let’s multiply both sides by m+3 to get rid of fractions and get a linear relationship. So we now have

2m+6=35 do now subtracting 6 from both sides we have

2m=29 and last step!! Divide by 2 in both sides and we get m alone! So now we have

m= 29/2= 18.5

Any questions please feel free to ask!! Thank you!!!

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The sum of 5 consecutive numbers is -5. What is the largest out of the numbers?

xxTIMURxx [149]

We can say that x is the largest number.

So the sum is x + (x - 1) + (x - 2) + (x - 3) + (x - 4) = -5

Now solve for x:

x + x + x + x + x - 1 - 2 - 3 - 4 = -5

5x - 10 = -5

5x = 5

x = 1

So the largest number is 1.

Check: 1 + 0 + -1 + -2 + -3 = -2 + -3 = -5 so 1 is correct.

3 0

2 years ago

The least-squares regression model y =−3.4+5.2x and correlation coefficient r=−0.66 were calculated for a set of bivariate data

Makovka662 [10]

Answer:

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

For this case the value of r = -0.66

Now we can calculate the determination coeffcient:

$r^2 = (-0.66)^2 = 0.4356$

And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable

And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable

Step-by-step explanation:

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

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

Where:

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

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

$\bar x= \frac{\sum x_i}{n}$

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

And we can find the intercept using this:

$b=\bar y -m \bar x$

And the model obtained for this case is:

$y = -3.4 +5.2 x$

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

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

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

For this case the value of r = -0.66

Now we can calculate the determination coeffcient:

$r^2 = (-0.66)^2 = 0.4356$

And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable

And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable

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2 years ago

Pls help I don’t get this

Softa [21]

Answer:

Answer is A

Step-by-step explanation:

They start at -10 and if you add 10 you get 0. You increase

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2 years ago

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Harrizon [31]

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3 years ago

A tent forms an equilateral triangular prism, with both triangular faces exposed. each side of the triangular face has a length

Soloha48 [4]

Given:
Equilateral Triangular Prism
Each side of the triangular face has a length of 196cm
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I have attached an image of the tent. Since the height of the tent is also the height of the triangle, I will solve for the height of the triangle using Pythagorean theorem.

I divided the equilateral triangle into 2 right triangle. The height then becomes the long leg of the triangle. The hypotenuse is 196cm and the short leg is 98cm, half of one side of the triangle.

a² + b² = c²
a² = c² - b²
a² = (196cm)² - (98cm)²
a² = 38,416cm² - 9,604cm²
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a = √28,812cm²
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The height of the tent is 169.74 centimeters.

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2 years ago