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natita [175]
3 years ago
15

Given x^2 + y^2 = 16, findname:center:Domain:Range:x-inty-int​

Mathematics
2 answers:
Dennis_Churaev [7]3 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

x² + y² = 16 ← is the equation of a circle

centre (0, 0 ) and r = \sqrt{16} = 4

The circle therefore intercepts the x- axis at (4, 0 ) and (4, 0 )

and intercepts the y- axis at (0, - 4 ) and (0, 4 )

Domain is - 4 ≤ x ≤ 4

range is - 4 ≤ y ≤ 4

x- intercepts are x = - 4, x = 4

y- intercepts are - 4, 4

rodikova [14]3 years ago
3 0

Answer:

The equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

x² + y² = 16 ← is the equation of a circle

centre (0, 0 ) and r = \sqrt{16}16 = 4

The circle therefore intercepts the x- axis at (4, 0 ) and (4, 0 )

and intercepts the y- axis at (0, - 4 ) and (0, 4 )

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Consumer complaints are frequently reported to the Better Business Bureau. Industries with the most complaints to the Better Bus
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Answer:

Let the complaints by Industry be CbI

CbI               Frequency

Bank            26

Cable           44

Car               42

Cell               60

Collection     28

b) Percentages

CbI               percentage (%)

Bank              13

Cable            22

Car                21

Cell               30

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c) The industry with the highest number of complaints is the Cell Industry.

d) The Bar Chart is attached to this solution. It was constructed in the Ms Excel suite.

Step-by-step explanation:

a) The frequencies are simply the number of times each industry sector sent in a complaint. So, it's straight forward to present.

b) The percentage for each industry is done in comparison to the the total amount of complaints received.

Percentage for each industry = 100% × (Number of complaints from that industry)/(Total number of complaints)

Total amount of complaints received = 200

For Bank industry,

Percentage = 100% × (26/200) = 13%

For the Cable Industry,

Percentage = 100% × (44/200) = 22%

For Car industry,

Percentage = 100% × (42/200) = 21%

For Cell industry,

Percentage = 100% × (60/200) = 30%

For Collection industry,

Percentage = 100% × (28/200) = 14%

c) The industry with the highest number of complaints is the one with the highest frequency and percentage, and that is the Cell Industry.

d) The Bar Chart is attached to this solution. It was constructed in the Ms Excel suite.

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