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melamori03 [73]
3 years ago
13

An escalator lifts people to the second floor of a building, 28 ft

Mathematics
1 answer:
Marysya12 [62]3 years ago
4 0

9514 1404 393

Answer:

  56 ft

Step-by-step explanation:

The geometry can be modeled by a right triangle with an unknown hypotenuse, and a side opposite the 30° angle that is 28 ft.

  sin(30°) = (28 ft)/hypotenuse

  hypotenuse = (28 ft)/sin(30°) = 56 ft

The length of the escalator is 56 feet.

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Convert x = 4 to polar form
dezoksy [38]

Answer: r = 4 sec θ

Explanation: Using: x = r cos θ then r cos θ = 4 ⇒ r = 4 cos θ = 4 sec θ

4 0
3 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

8 0
3 years ago
Perry and Jacob each improved their yards by planting hostas and ivy. They bought their supplies from the same store. Perry spen
marissa [1.9K]

Answer:

hosta=11 ivy=9

Step-by-step explanation:

Logically thinking... $20 for 1 h and 1 i

So I would say $11 H and $9 I

3 0
3 years ago
-5 * 1/-7 * 4/8<br> ........................
Gemiola [76]

Answer:

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Step-by-step explanation:

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8 0
4 years ago
Circle D is shown with the measure of the minor arcs which segment are congruent
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