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Mariana [72]
3 years ago
10

A total of 192 units is planned, and the number of family units (2 and 3 bedroom townhouses) will equal to the number of 1 bedro

om units. If the number of 1 bedroom units will be 3 times the number of 3 bedroom units, find how many units of each type will be in the complex.
Mathematics
1 answer:
algol133 years ago
3 0

Answer:

96 one bedroom homes

64 two bedroom homes

32 three bedroom homes

Step-by-step explanation:

If x is the number of 1 bedroom homes, y is the number of 2 bedroom homes, and z is the number of 3 bedroom homes:

x + y + z = 192

x = y + z

x = 3z

Solve the system of equations using substitution or elimination.  Using substitution:

x + x = 192

2x = 192

x = 96

z = x / 3

z = 32

y = x − z

y = 64

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3 years ago
Add the following polynomials:<br> 3a3 + 8a - 6 and 4a2 - 9a + 11
liubo4ka [24]
<span> 3a^3+8a-6
+4a^2-9a+11
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3 0
3 years ago
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Use the confidence interval to find the estimated margin of error. Then find the sample mean. A biologist reports a confidence i
mash [69]

Complete Question

A biologist reports a confidence interval of (3.5,4.9) when estimating the mean height (in centimeters) of a sample of seedlings. What is the estimated margin of error and the sample mean?

Answer:

The  margin of error is  E = 0.7

The  sample mean is  \=  x  =  4.2

Step-by-step explanation:

from the question we are told that

   The  upper limit is  k  =  4.9

    The  lower limit is  r = 3.5

Generally the margin of error is mathematically represented as

      E =  \frac{k - r}{ 2}

      E = \frac{ 4.9  -  3.5 }{2}

     E = 0.7

Generally the sample mean is mathematically evaluated as

        \=  x = k  -  E

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4 0
3 years ago
The height of a tree in feet over x years is modeled by the function f(x). f(x)=301+29e−0.5x which statements are true about the
Karo-lina-s [1.5K]
Given this equation:

f(x)=301+29^{-0.5x}

That represents t<span>he height of a tree in feet over (x) years. Let's analyze each statement according to figure 1 that shows the graph of this equation.
</span>
The tree's maximum height is limited to 30 ft.

As shown in figure below, the tree is not limited, so this statement is false.

<span>The tree is initially 2 ft tall

The tree was planted in x = 0, so evaluating the function for this value, we have:

</span>f(0)=301+29^{-0.5(0)}=301+1=302ft
<span>
<span>So, the tree is initially \boxed{302ft} tall.
</span>
Therefore this statement is false.

</span>Between the 5th and 7th years, the tree grows approximately 7 ft.
<span>
if x = 5 then:

</span>f(5)=301+29^{-0.5(5)}=301ft<span>

</span>if x = 7 then:

f(7)=301+29e^{0.5(7)}=301ft

So, between the 5th and 7th years the height of the tree remains constant
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\Delta=f(7)-f(5)=301-301=0ft

This is also a false statement.

<span>After growing 15 ft, the tree's rate of growth decreases.</span>

It is reasonable to think that the height of this tree finally will be 301ft. Why? well, if x grows without bound, then the term 29^{-\infty} approaches zero.

Therefore this statement is also false.

Conclusion: After being planted this tree won't grow. 


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Which expression below has the dame
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Is it 6x9 or 9x6? It’s a little off on the question
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