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Dvinal [7]
3 years ago
11

Find all​ x-coordinates of points​ (x,y) on the curve y = [(x - 5 )^6]/(x - 6 )^8

Mathematics
1 answer:
Genrish500 [490]3 years ago
4 0

Answer:

Step-by-step explanation:

To obtain all coordinates of points​ (x,y) on the curve y = [(x - 5 )^6]/(x - 6 )^8, we deduce the value of X for which y is undefined as thus,

(x - 6 )^8 = 0

: (x - 6 ) = 0 : X=6

Therefore, all x-coordinates of points​ (x,y) on the curve are values of X < 6

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In a school of 685 students, there are 385 students involved in sports teams, and there are
svet-max [94.6K]

Answer:

A) check attached picture

B) 272

C) 0.4478

Step-by-step explanation:

From the information given ;

A) The Venn diagram of the information can be found in the attached picture.

B) Number of students involved in both team sports and music.

n(student in sports team) = 385

n(students involved in music) = 450

Number of students involved in both music and team sport = y

Number of students not involved in either team sport or music = 87

Total number of students = 650

Therefore,

n(music alone) = 450 - y

n(team sport alone) = 385 - y

Adding the following:

n(music alone) + n(team sport alone) + n( both music and team sport) + n(neither music nor team sport) = Total number of students

450 - y + 385 - y + y + 87 = 650

922 - y = 650

922 - 650 = y

y = 272

Therefore, number of students involved in both music and team sport = 272

C) probability of being involved in team sport or in music.

P(being involved in music) = (450 - 272) / 650 = 0.2738

P(being involved in team sport) = (385 - 272) / 650 = 0.1738

P(involved in both) = 272 / 650 = 0.4184

P(involved in neither) = 87 / 650 = 0.1338

P(being involved in team sport) or p(being involved in music)

P(being involved in team sport) + p(being involved in music)

0.1738 + 0.2738 = 0.4478

3 0
2 years ago
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