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
Anettt [7]
3 years ago
8

Find the value of x :

Mathematics
1 answer:
Gnom [1K]3 years ago
5 0

Answer:78

Step-by-step explanation:

i did the math

You might be interested in
In a class of 30 students (x+10) study algebra, (10x+3) study statistics, 4 study both algebra and statistics. 2x study only alg
Vladimir [108]

Answer:

1. The Venn diagrams are attached

2. When the statistics students number = 10·x + 3, we have;

The number of students that study

a. Algebra = 128/11

b. Statistic = 213/11

When the statistics students number = 2·x + 3, we have;

The number of students that study

a. Algebra = 16

b. Statistic = 15

Step-by-step explanation:

The parameters given are;

Total number of students = 30

Number of students that study algebra n(A) = x + 10

Number of students that study statistics n(B) = 10·x + 3

Number of student that study both algebra and statistics n(A∩B) = 4

Number of student that study only algebra n(A\B) = 2·x

Number of students that study neither algebra or statistics n(A∪B)' = 3

Therefore;

The number of students that study either algebra or statistics = n(A∪B)

From set theory we have;

n(A∪B) = n(A) + n(B) - n(A∩B)

n(A∪B) = 30 - 3 = 27

Therefore, we have;

n(A∪B) = x + 10 + 10·x + 3 - 4 = 27

11·x+13 = 27 + 4 = 31

11·x = 18

x = 18/11

The number of students that study

a. Algebra

n(A) = 18/11 + 10 = 128/11

b. Statistic

n(B) = 213/11

Hence, we have;

n(A - B) = n(A) - n(A∩B) = 128/11 - 4 = 84/11

Similarly, we have;

n(B - A) = n(B) - n(A∩B) = 213/11 - 4 = 169/11

However, assuming n(B) = (2·x + 3), we have;

n(A∪B) = n(A) + n(B) - n(A∩B)

n(A∪B) = 30 - 3 = 27

Therefore, we have;

n(A∪B) = x + 10 + 2·x + 3 - 4 = 27

2·x+3 + x + 10= 27 + 4 = 31

3·x = 18

x = 6

Therefore, the number of students that study

a. Algebra

n(A) = 16

b. Statistics

n(B) = 15

Hence, we have;

n(A - B) = n(A) - n(A∩B) = 16 - 4 = 12

Similarly, we have;

n(B - A) = n(B) - n(A∩B) = 15 - 4 = 11

The Venn diagrams can be presented as follows;

6 0
3 years ago
What must be true in order for P (A or B) = P(A) + P (B)?
snow_tiger [21]
For the equation to be true, the events A and B must be mutually exclusive.
6 0
3 years ago
Read 2 more answers
A. The distance between the towers is 7350 ft, and the angles of elevation are given in the diagram. Find the distance from Towe
Mademuasel [1]
The angle T1PT2 is 65-37=28 degree
use law of sine: sin37/PT2=sin28/7370, PT2=7370*sin37/sin28
Use a calcuator, I got the answer 9448

B. sin65=PA/PT2, PA=PT2*sin65=9448*sin65=8563
4 0
3 years ago
Read 2 more answers
5 x 1/7 <br><br><br> The question
JulijaS [17]
As a fraction the answer is: 5/7
6 0
3 years ago
Read 2 more answers
1. Simplify the expression. 3[(11–6)2+5]<br> A 5<br> B 3<br> C 15<br> D 6
kirill [66]

Answer:

3 is the answer

mutiply and open bracket minus each other

4 0
3 years ago
Other questions:
  • rick jogged the same distance on tuesday snd friday, and 8 miles on sunday for a total of 20 miles for the week. solve to find t
    10·1 answer
  • The percentage of body fat of a random sample of 36 men aged 20 to 29 found a sample mean of 14.42. Find a 95% confidence interv
    7·1 answer
  • Mixed Review
    7·2 answers
  • What is the difference between the yearly wages of the highest paying job and lowest paying job, assuming Araceli will be paid f
    12·1 answer
  • The exponent indicates how many times the what is used
    7·1 answer
  • Help pls it’s due tomorrow helpp
    15·1 answer
  • What is the area of the triangle in centimeters squared?
    15·1 answer
  • PLZ HELP!!! :D
    10·2 answers
  • You have 9 ½ pounds of flour. Each cookie takes ¾ pounds to make. How many cookies can I make?
    11·1 answer
  • Logan calculated the mean absolute deviation of the points he earned throughout the year in four of his classes: geography, math
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!