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3 years ago

The stem-and-leaf plot shows

Mathematics

1 answer:

timama [110]3 years ago

4 0

ANSWER:

6 points

EXPLANATION:

Original readings

120, 121, 122, 125, 126, 126, 129, 132, 132, 135, 137, 143, 143, 145, 148, 153, 153, 154, 164, 164, 173

The median is the 11th number (137).

Additional readings added

120, 121, 122, 125, 126, 126, 129, 132, 132, 135, 137, 143, 143, 145, 146, 148, 153, 153, 154, 158, 164, 164, 173

The median is the 12th number (143).

I'm not sure exactly what it means by 'points' but I think that means 143-137, which is 6 points?

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Use long division to find a repeated decimal equivalency for the fraction. Upload all of your work as part of your final answer.

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Answer:

0.88

Step-by-step explanation:

You first multiply the fraction by 11 which is 88/99. Then, from common knowledge, you'll know that anything over 99 is repeating itself so it is 0.88 repeating.

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A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft and on the other three s

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Answer:

The dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)

Step-by-step explanation:

Let the length of garden be x

Let the breadth of garden be y

Area of Rectangular garden = $Length \times Breadth = xy$

We are given that the area of the garden is 122 square feet

So, $xy=122$ ---A

A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft

So, cost of brick along length x = 20 x

On the other three sides by a metal fence costing $10/ft.

So, Other three side s = x+2y

So, cost of brick along the other three sides= 10(x+2y)

So, Total cost = 20x+10(x+2y)=20x+10x+20y=30x+20y

Total cost = 30x+20y

Substitute the value of y from A

Total cost = $30x+20(\frac{122}{x})$

Total cost = $\frac{2440}{x}+30x$

Now take the derivative to minimize the cost

$f(x)=\frac{2440}{x}+30x$

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$0=-\frac{2440}{x^2}+30$

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$\sqrt{\frac{2440}{30}}=x$

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Substitute the value of x

$f''(x)=-(-2)\frac{2440}{(9.018)^3}$

$f''(x)=6.6540$

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$(9.018)y=122$

$y=\frac{122}{9.018}$

$y=13.528$

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Answer:

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