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dybincka [34]
3 years ago
15

A piece of wire 24 ft long is cut into two pieces. One piece is used to form a square, and the remaining piece is used to form a

circle. Where should the wire be cut so that the combined area of the two figures is a maximum? (Round your answers to two decimal places.)
length of the wire used for the square = ? ft

length of the wire used for the circle = ? ft

Where should the wire be cut so that the combined area of the two figures is a minimum? (Round your answers to two decimal places.)

length of the wire used for square = ? ft

length of the wire used for circle = ? ft
Mathematics
1 answer:
abruzzese [7]3 years ago
5 0

Answer:

SAY WHAT

Step-by-step explanation:

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Will get branliest!!!!!!!​
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Answer:

It has the same domain as the function f(x)=-\sqrt{-x}

Step-by-step explanation:

we have

f(x)=\sqrt{-x}

we know that

The radicand cannot be a negative number

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-x\geq 0

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The domain of the given function is the interval ----> (-∞,0]

All real numbers less than or equal to 0

The range of the given function is the interval ----> [0,∞)

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<u><em>Verify each statement</em></u>

Part 1) It has the same domain as the function f(x)=-\sqrt{-x}

<em>The statement is true</em>

The domain of the function f(x)=-\sqrt{-x} is

the interval ---> (-∞,0]

Part 2) It has the same range as the function f(x)=-\sqrt{-x}

The statement is false

The range of the function f(x)=-\sqrt{-x} is

the interval ---> (-∞,0]

Part 3) It has the same domain as the function f(x)=-\sqrt{x}

The statement is false

The domain of the function f(x)=-\sqrt{x} is

the interval ---> [0,∞)

Part 4) It has the same range as the function f(x)=-\sqrt{x}

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3 years ago
Suppose that in a random sample of 300 employed Americans, there are 57 individuals who say that they would fire their boss if t
otez555 [7]

Answer:

The 95% confidence interval for the population proportion is (0.1456, 0.2344). This means that we are 95% sure that the true proportion of employed American who say that they would fire their boss if they could is between 0.1456 and 0.2344.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 300, \pi = \frac{57}{300} = 0.19

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.19 - 1.96\sqrt{\frac{0.19*0.81}{300}} = 0.1456

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.19 + 1.96\sqrt{\frac{0.19*0.81}{300}} = 0.2344

The 95% confidence interval for the population proportion is (0.1456, 0.2344). This means that we are 95% sure that the true proportion of employed American who say that they would fire their boss if they could is between 0.1456 and 0.2344.

4 0
3 years ago
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