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sertanlavr [38]
3 years ago
15

You charge $2

Mathematics
1 answer:
nika2105 [10]3 years ago
7 0
When you are painting, tiling, wallpapering or doing anything that involves the region inside a figure, you are dealing with the area of the figure.To calculate the area of a triangle, you can use the formula A = 1/2 base*height. This tells you how many square units it takes to cover the region. Once you know the number of square units, you charge $2 for each square unit, so just multiply, and you've got your answer. So A = 1/2 *4*6 = 12 square units and you'll charge 2*12 = $24 for the job.<span>
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You might be interested in
9. What is the system of equations that describes the following graph?
jeka94

The graph represented in the figure shows a set of linear equations each of which is represented a straight line.

Step-by-step explanation:

System of Equation can be referred to as an assortment of equations to be dealt with. Common examples include linear equations and non-linear equations such as a parabola, hyperbola etc.

Linear set of equations are the most simple of equation depicting a linear relationship between two variables.

E.g.  Y=4x+3

here y and x share a linear relationship which is defined by the straight-line graph "4x+3"

Similarly in the graph lines, two straight lines are depicted which symbolises that the et of the equation is linear in character.

3 0
3 years ago
The estimated daily living costs for an executive traveling to various major cities follow. The estimates include a single room
Alexandra [31]

Answer:

\bar x = 260.1615

\sigma = 70.69

The confidence interval of standard deviation is: 53.76 to 103.25

Step-by-step explanation:

Given

n =20

See attachment for the formatted data

Solving (a): The mean

This is calculated as:

\bar x = \frac{\sum x}{n}

So, we have:

\bar x = \frac{242.87 +212.00 +260.93 +284.08 +194.19 +139.16 +260.76 +436.72 +355.36 +.....+250.61}{20}

\bar x = \frac{5203.23}{20}

\bar x = 260.1615

\bar x = 260.16

Solving (b): The standard deviation

This is calculated as:

\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}

\sigma = \sqrt{\frac{(242.87 - 260.1615)^2 +(212.00- 260.1615)^2+(260.93- 260.1615)^2+(284.08- 260.1615)^2+.....+(250.61- 260.1615)^2}{20 - 1}}\sigma = \sqrt{\frac{94938.80}{19}}

\sigma = \sqrt{4996.78}

\sigma = 70.69 --- approximated

Solving (c): 95% confidence interval of standard deviation

We have:

c =0.95

So:

\alpha = 1 -c

\alpha = 1 -0.95

\alpha = 0.05

Calculate the degree of freedom (df)

df = n -1

df = 20 -1

df = 19

Determine the critical value at row df = 19 and columns \frac{\alpha}{2} and 1 -\frac{\alpha}{2}

So, we have:

X^2_{0.025} = 32.852 ---- at \frac{\alpha}{2}

X^2_{0.975} = 8.907 --- at 1 -\frac{\alpha}{2}

So, the confidence interval of the standard deviation is:

\sigma * \sqrt{\frac{n - 1}{X^2_{\alpha/2} } to \sigma * \sqrt{\frac{n - 1}{X^2_{1 -\alpha/2} }

70.69 * \sqrt{\frac{20 - 1}{32.852} to 70.69 * \sqrt{\frac{20 - 1}{8.907}

70.69 * \sqrt{\frac{19}{32.852} to 70.69 * \sqrt{\frac{19}{8.907}

53.76 to 103.25

8 0
2 years ago
WZ and XR are diameters of circle C. The diagram is not drawn to scale. What is the measure of ZWX?
Inessa05 [86]

Answer:

Measure of arc ZWX is <u>230°.</u>

Step-by-step explanation:

Given:

arc WX = 50°

Now

The diameter divide a circle into two equal parts

so

arc\ ZWX=arc\ ZRW+arc\ WX

Since WZ is diameter of the circle.

arc\ ZRW=180\°

substituting in above equation we get

arc\ ZWX=180\°+50\°=230\°

Hence Measure of arc ZWX is <u>230°.</u>

7 0
3 years ago
The ratio of 9/5 is equal to
Nutka1998 [239]
The answer is 1 and 4/5. Just divide and put the remainder as the numerator and the numerator stays the same
6 0
3 years ago
Read 2 more answers
Use the information in the picture.
Katarina [22]
Yes, parallelogram congruent angles theorem
8 0
3 years ago
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