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padilas [110]
2 years ago
14

Adult male heights have a normal probability distribution with a mean of 70 inches and a standard deviation of 4 inches.

Mathematics
1 answer:
navik [9.2K]2 years ago
4 0

Hi! :) How are you?

I'm doing well but I would like to hear about you!

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The coordinate plane shows the floor plan for a swimming pool. What is the area of the pool's border?
LekaFEV [45]

Answer:

  border area: 100 m²

Step-by-step explanation:

The area of the pool border will be the overall area of the pool and boder, less the area of the pool. The area of each rectangle is the product of its length and width. The length and width of each can be found using the Pythagorean theorem.

__

<h3>Pythagorean Triple</h3>

The triple (3, 4, 5) is called a Pythagorean triple, because ...

  3² +4² = 5²

That is, a triangle with sides of lengths 3, 4, and 5 will be a right triangle with a hypotenuse of length 5.

__

<h3>Application to Pool/Border Dimensions</h3>

We notice that the sides of the rectangles in the figure have a rise/run of ±3/4 or ±4/3. In each case, the side of the rectangle is the hypotenuse of a triangle with dimensions a multiple of 3 or 4 meters. Hence the hypotenuse (rectangle side length) is the corresponding multiple of 5 meters. The attachment illustrates this point, showing a triangle with sides that are (6, 8, 10), 2 times the basic triple.

The pool is 5 m by 10 m, for an area of ...

  A = LW = (10 m)(5 m) = 50 m²

The overall area is 10 m by 15 m, for an area of ...

  A = (15 m)(10 m) = 150 m²

__

<h3>Border Area</h3>

The pool's border is the difference between the overall area and the pool area:

  150 m² -50 m² = 100 m² . . . . area of pool's border

7 0
2 years ago
Write an expression to represent: Nine minus the quotient of two and a number x.
labwork [276]

Answer:

9 - 2/x

Step-by-step explanation:


4 0
3 years ago
Read 2 more answers
Eddie drilled into a piece of wood and I joist to attach them if he drilled 3 inches in the wood was one and 1 1/3 inches thick
NARA [144]
Let JD = Distance drilled in joist 
<span>JD = 3 - 1 1/3 </span>
<span>JD = 9/3 - 4/3 </span>
<span>========================== </span>
<span>JD = 5/3 or 1 2/3 in ◄ Ans 

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

</span>
7 0
2 years ago
Find the geometric mean of 2 and 3
Sav [38]
The first step in solving this problem is taking 2 and 3 and multiplying them (2 * 3 = 6) .
Now, for the second step, we will cube it. Since there are 2 numbers, we are going to use the 2nd root (2sqrt(6)) This will give us: 4.89897948557 or 5 if you would round it. This would be the Geometric Mean.
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3 years ago
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