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ollegr [7]
3 years ago
6

(PLEASE ANSWER FAST!!!!) Two lines, A and B, are represented by equations given below: Line A: y = x – 2 Line B: y = 3x + 4 Whic

h of the following shows the solution to the system of equations and explains why? (–3, –5), because the point does not lie on any axis (–3, –5), because the point satisfies both equations (–4, –8), because the point satisfies one of the equations (–4, –8), because the point lies between the two axes
Mathematics
1 answer:
Sophie [7]3 years ago
6 0

Answer:

(-3, -5), because the point satisfies both equations.

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Answer:

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The area of a circular table cloth is 1,384.74 inches square. Using 3.14 for LaTeX: \pi
leonid [27]

Answer:

radius = 21

circumference = 138.88

Step-by-step explanation:

First divide the area by 3.14, this equal 441

441 is your radius squared.

Then you have to find the root of 441 which is 21.

radius = 21

diameter = twice the radius or 2 * radius

diameter = 21 * 2 = 42

diameter = 42

Then plug 42 in your circumference formula.

Which is then C = 3.14(42).

Which means the circumference is 131.88.

6 0
2 years ago
The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.
valina [46]

Answer:

A sample of 179 is needed.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.85}{2} = 0.075

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.075 = 0.925, so Z = 1.44.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

A previous study found that for an average family the variance is 1.69 gallon?

This means that \sigma = \sqrt{1.69} = 1.3

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

M = z\frac{\sigma}{\sqrt{n}}

0.14 = 1.44\frac{1.3}{\sqrt{n}}

0.14\sqrt{n} = 1.44*1.3

\sqrt{n} = \frac{1.44*1.3}{0.14}

(\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2

n = 178.8

Rounding up

A sample of 179 is needed.

7 0
3 years ago
What is overlapping set​
Westkost [7]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
The principal P is borrowed at a simple interest rate are for a period of time T. Find the loans future value A, or the total am
Xelga [282]

Answer:

The total amount due after five years is $57,000.

Step-by-step explanation:

Recall that simple interest is given by the formula:

\displaystyle A=P(1+rt)

Where <em>A</em> is the final amount, <em>P</em> is the principal amount, <em>r</em> is the rate, and <em>t</em> is the time (in years).

Since we are investing a principal amount of $38,000 at a rate of 10.0% for five years, <em>P</em> = 38000, <em>r</em> = 0.1, and <em>t</em> = 5. Substitute:

\displaystyle A=38000(1+(0.1)(5))

Evaluate. Hence:

\displaystyle A=\$ 57,000

The total amount due after five years is $57,000.

4 0
3 years ago
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