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mel-nik [20]
3 years ago
11

If the length of a rectangular garden is 2 feet less than the length of a house and the width of the garden is 5 feet less than

half the length of the house, what is the expression for the area of the garden? *
Mathematics
1 answer:
Goshia [24]3 years ago
3 0

Answer:

A(h)  =  h²/2 - 6*h + 10

Step-by-step explanation:

The garden is rectangular, and area of a rectangle is:

A(r) = L*w

Where L is the length and w is the width of the rectangle

Now if we call "h" the length of the house, we have the following expressions

L = h - 2  and

w = h/2 - 5

The expression for the area f the ectangle as a function of the length of the house is:

A(h)  =  ( h - 2 )* ( h/2 -5 )

A(h)  = h²/2 - 5*h - h + 10

A(h)  =  h²/2 - 6*h + 10

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In a random sample of 400 residents of Boston, 320 residents indicated that they voted for Obama in the last presidential electi
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C.I =  0.7608   ≤ p ≤   0.8392

Step-by-step explanation:

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Let consider a  random sample n = 400 candidates where  320 residents indicated that they voted for Obama

probability \hat p = \dfrac{320}{400}

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= 0.05

The objective is to  develop a 95% confidence interval estimate for the proportion of all Boston residents who voted for Obama.

The confidence internal can be computed as:

=\hat p  \pm Z_{\alpha/2} \sqrt{\dfrac{ p(1-p)}{n } }

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=0.8  \pm 1.960 \sqrt{\dfrac{ 0.8(1-0.8)}{400 } }

=0.8  \pm 1.960 \sqrt{\dfrac{ 0.8(0.2)}{400 } }

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=0.8  \pm 1.960 \times 0.02}

=0.8  \pm 0.0392

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= 0.7608    OR    0.8392

Thus; C.I =  0.7608   ≤ p ≤   0.8392

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