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marin [14]
3 years ago
5

At sea, the distance D to the horizon is directly proportional to the square root of the elevation E of the observer. If a perso

n who is 36 feet above the water can see 7.4 miles, find how far a person 49 feet above the water can see.
Mathematics
1 answer:
Alla [95]3 years ago
7 0
<span>The problem says that the distance D to the horizon is directly proportional to the square root of the elevation E of the observer, so:
</span>
 The person who is 36 feet above the water ⇒ √36=6 

 A person 49 feet above the water ⇒ √49=7
<span>
 So, by proportions, you have:

 (7/6)x7.4= 8.63 miles

 Therefore, the answer is: </span><span>a person 49 feet above the water can see 8.63 miles</span><span> </span>
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. The estimate regression equation for a model involving two independent variables and 10 observations follows.y = 29.1270 + 0.5
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b) y = 289.815 when x_1 = 180 \text{ and } x_2 = 310

Step-by-step explanation:

We are given the following information in the question:

y = 29.1270 + 0.5906x_1 + 0.4980x_2

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The multiple regression equation is of the form:

y = b_0 + b_1x_1 + b_2x_2

where,

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b_1: It is the slope coefficient of the independent variable x_1.

b_2: It is the slope coefficient of the independent variable x_2.

  • The regression coefficient in multiple regression is the slope of the linear relationship between the dependent and the part of a predictor variable that is independent of all other predictor variables.

Comparing the equations, we get:

b_1 = 0.5906\\b_2 = 0.4980

  • This means holding x_2 constant, a change of one in x_1 is associated with a change of 0.5906 in the dependent variable.
  • This means holding x_1 constant, a change of 1 in x_2 is associated with a change of 0.4980 in the dependent variable.

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3 years ago
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Wewaii [24]

Answer:

<h3>          The numbers are 20 and 28</h3>

Step-by-step explanation:

x  - the other number  (the smaller one)

x+8  - 8 more than the other number (the larger number)

 

\dfrac{x+8}x=\dfrac75\\\\(x+8)\cdot5=x\cdot7\\\\5x+40=7x\\^{\quad-40\qquad-40}\\{}\quad5x = 7x-40\\^{\quad-7x\quad-7x}\\-2x=-40\\^{\div(-2)\quad\div(-2)}\\{}\ \ x=20\\\\x+8=28

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3 years ago
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