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irina [24]
2 years ago
7

What is the area of a polygon with vertices of (-2,-4), (4,-4), (4, 4), and (-5, 4)?

Mathematics
1 answer:
inessss [21]2 years ago
4 0

Answer: 60 square units

Step-by-step explanation: i hope that helps buddy :)

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Find the population mean or sample mean as indicated. Sample: 19, 15, 6, 11, 24 Compute the sample mean for this data set. Selec
yKpoI14uk [10]

Answer:

\overline{x}=15

Step-by-step explanation:

the mean is given by:

\overline{x} = \dfrac{\sum\limits_{i=1}^n x_i}{n} \quad\text{or}\quad \dfrac{\text{sum of all items}}{\text{number of items}}

In our case this is:

\overline{x} = \dfrac{19+15+6+11+24}{5} \Rightarrow \dfrac{75}{5}\\\\\overline{x} = 15\\\\

side note: the main difference between sample mean and population mean is in the 'context'. However, the method to calculate them is the same.

By context I mean: if this the items are taken from some larger category for example: the ages of a few 'students' from a 'class'. Here 'students' are the sample from a larger set that is 'class'. The mean of the 'few students' will be called sample mean. In contrast, if we take the mean of the ages of the whole class then this is called population mean. (population mean == mean of the whole set)

In our case we aren't told exactly where these numbers come from, is this the whole set or a sample from it, the lack of context allows us to assume that the mean can either be population mean or sample mean. So we can safely use any symbol \mu or \overline{x}.

3 0
3 years ago
I ordered some books online for myself and friends. Each book costs $13 and the store charges a flat rate for shipping of $20. W
Anna35 [415]

Answer:

13n+20

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
An office building has 23 offices. The floor area of each office is 305 square feet. Which shows the equation you can use to fin
Mumz [18]

Answer: D.23 x 305 = n, n = 7015

Step-by-step explanation:

23 x 305 = 7015

7015 square feet

3 0
3 years ago
Which term describes the fraction that has a variable or a variable expression
Lilit [14]
A term that describes the fraction that has a variable or valuable expression proper factor

3 0
3 years ago
I need help with this please....Thanks
IrinaK [193]

Answer:

The total cost of redecoration is £66, that is less than £75. Tenant can decorate the room for the budget set.

Step-by-step explanation:

Lets start calculating the areas of shorter and longer walls.

The area of shorter wall is

2.65m*2.98m=7.897m^2.

The area of longer wall is

3.94m*2,65m=10.441m^2.

Together the area of one long and one short wall is

7.897m^2+10.441m^2=18.338m^2.

The area to be painted ( one short and one long wall) is 18.338m^2 that is less than 30m^2, and hence only one tin of paint is needed (costs £16).

If there is assumed that the sheets of wallpaper must be whole from floor to ceiling, the calculations are following.

We get from one roll

10m/2.65m=3.77 sheets; we can use only 3 of them

The width of the walls is 3,94m+2,98m=6,92m,

and division gives 6.92m/0.52m=13,3... .

Hence it requires 14 sheets, that is 5 rolls of wallpaper.

Wallpaper costs 5*£10=£50 and altogether it is needed £50+£16=£66 to redecorate the room.

7 0
3 years ago
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