1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Galina-37 [17]
3 years ago
7

. In a class of all boys, 18 boys like to play chess, 23 like to play soccer, 21 like biking and 17 like hiking. The number of t

hose who like to play both chess and soccer is 9. We also know that 7 boys like chess and biking, 6 boys like chess and hiking, 12 like soccer and biking, 9 boys like soccer and hiking, and finally 12 boys like biking and hiking. There are 4 boys who like chess, soccer, and biking, 3 who like chess, soccer, and hiking, 5 who like chess, biking, and hiking, and 7 who like soccer, biking, and hiking, Finally there are 3 boys who like all four activities. In addition we know that everybody likes at least one of these activities. How many boys are there in the class

Mathematics
2 answers:
Vladimir79 [104]3 years ago
7 0

there are some mistakes in the queston plz edit then i will be able to awnser

Bingel [31]3 years ago
4 0

Answer:

  40

Step-by-step explanation:

It can help to make a diagram of some sort. Here is a sort of Karnaugh map. A Venn diagram can also work, or something like the one in the second attachment.

In the attachment of the first diagram, the rows and columns are labeled with 00, 01, 11, 10 — all the possible combinations of the two "likes" on that side of the diagram. A 0 indicates no like; 1 indicates a 'like to play'. Thus the "01" ro on the chess/soccer side of the board indicates "don't like to play chess and do like to play soccer." The numbers on this row will contribute to the number who like to play soccer, but not to the number who like to play chess.

Similarly, the "10" column on the hiking/biking side of the diagram indicates "like hiking but don't like biking." Numbers in this column will contribute to the counts of boys that like hiking, but will not contribute to the numbers who like biking.

For a problem of this nature, it often works well to start with the number who like all four activities. That "3" goes into the square on the "11" row and the "11" column, indicating all four activities are liked.

The total for "like chess, soccer, and hiking" is also 3, so the number in the 11 row and 10 column must be 0. That is, "like chess, soccer, and hiking" includes both those who do and those who don't like biking. If all three like biking, then there will be 0 who like chess, soccer, and hiking, but don't like biking.

The numbers at the right side or bottom of the main array are totals for rows, columns, or pairs of them.

The numbers in black are given in the problem statement. The numbers in red are derived by addition or subtraction to make the totals come out.

The colored squares have the totals indicated at lower right. In each case, the corresponding color in the main array is at the lower left of a 4-square block.

__

Once all the numbers are figured out, they can be totaled to find the number of boys in the class. That total is 40 boys.

You might be interested in
A rectangular prism is a
OleMash [197]

Answer: Three dimensional

Step-by-step explanation:

    A rectangular prism is a three-dimensional shape.

[] A one-dimensional shape is a line

[] A two-dimensional shape is a rectangle, circle, etc

[] This means that a rectangular prism is a three-dimensional shape

5 0
2 years ago
Two angles are supplementary. If 5 times of one angle is 10 times of the other angle, find the two angles.
Luba_88 [7]
5x + 10x = 180
15x = 180
X = 12
5 x 12 = 60
10 x 12 = 120

The angles are 60° and 120°
7 0
3 years ago
Y = x^2 - 4 <br> y= x + 2
Snezhnost [94]
Hopes this help:

Answer: x = 3, -2 & y = 5, 0

Hopes this is the answer that you where looking for if not I am so sorry.
5 0
2 years ago
You are going to paint a six-sector spinner. There are 4 colors to choose from. How many different ways can you paint the spinne
emmainna [20.7K]

Using the Fundamental Counting Theorem, it is found that there are 648 ways to paint the spinner.

<h3>What is the Fundamental Counting Theorem?</h3>

It is a theorem that states that if there are n things, each with n_1, n_2, \cdots, n_n ways to be done, each thing independent of the other, the number of ways they can be done is:

N = n_1 \times n_2 \times \cdots \times n_n

In this problem, we have that the first sector can be painted in any of the 4 colors, the others until the 5th can be painted in 3 colors(not the adjacent), and the sixth in only 2, as it is adjacent to both the 5th and the 1st sectors, hence:

n_1 = 4, n_2 = n_3 = n_4 = n_5 = 3, n_6 = 2

Hence the number of ways is given by:

N = 4 x 3 x 3 x 3 x 3 x 2 = 648.

More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866

#SPJ1

4 0
1 year ago
Pls answer this question
Gennadij [26K]

Answer:

1) (B) 25/18 ft³

2) (C) 1/216 ft³

Step-by-step explanation:

1) 1 2/3 x 5/6 x 1 = 5/3 x 5/6 x 1 = 25/18 ft³

2) 1/6 x 1/6 x 1/6 = 1/216 ft³

7 0
3 years ago
Other questions:
  • Which polynomials, given in square inches, could represent the area of a square with whole number side lengths if x is a whole n
    12·2 answers
  • Need help as soon as possible please :D According to the distributive law, what number goes in the blank?
    7·1 answer
  • Finish solving the system of equations –9.5x – 2.5y = –4.3 and 7x + 2.5y = 0.8 using the linear combination method. 1. Determine
    10·2 answers
  • (4x squared) to the 3rd power
    7·1 answer
  • Chase buys a bag of cookies that contains 6 chocolate chip cookies, 6 peanut butter cookies, 6 sugar cookies and 6 oatmeal cooki
    11·1 answer
  • Find the product. (x2 + 3х - 2)(х + 3)​
    8·1 answer
  • Please answer quickly
    6·1 answer
  • Divide<br> .4 divided by 28.08
    11·2 answers
  • Given the quadratic function y=(3x−2)(x+4), what are the x-intercepts?
    14·1 answer
  • The equation of a quadratic is =2^2+3−2and after you factorizing 2^2+3−2=0you got x = -2 and x = 1/2 and the curve crosses the y
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!