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cupoosta [38]
3 years ago
9

Help me answer the question in the image!

Mathematics
1 answer:
Travka [436]3 years ago
7 0

Answer:

29107

Step-by-step explanation:

Every next 'level', a ring of balls is added.

The ring has 6 sides of n balls, but you would then count all 6 corners double, so you have to subtract 6.

So Bₙ = Bₙ₋₁ + 6n - 6

This gives you a sequence of 1, 7, 19, 37, 61, 91, 127, 169, 217, 271, 331, ...

All the way up to 29107 at 100 balls.

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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

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Answer:varibale

Step-by-step explanation:

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Will mark as brainliest! 40 points! Thanks!
n200080 [17]

When given a system of equations, the "solutions" are defined where two equations intersect, or meet.


A. The point where the lines p(x) and g(x) meet is (3, -1), and thus this is considered the solution set.

B. Because there are three lines in total, g(x) is able to intersect both lines one time, and so it has two pairs of solutions.

The first is (3, -1), which has already been established with p(x).

The second is (0, 5), and this is where it intersects with f(x).

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