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
Artist 52 [7]
3 years ago
7

Each person in an IT department of 25 people works on at least one of 3 major projects: system security, program implementation,

platform development. 10 people work on system security, 13 work on program implementation, and 12 work on platform development. 4 people work on system security and platform development, 5 people work on program implementation and platform development, and 2 people work on all three projects. How many people work on system security and program implementation?
Mathematics
1 answer:
Komok [63]3 years ago
5 0

Answer:

3

Step-by-step explanation:

Let system security be A, program implementation be B and platform development be C

Then:

25 = A + B + C - AB - BC - AC + ABC

where AB is system security and program implementation,

BC is program implementation and platform development,

AC is system security and platform development and

ABC is all three

So plug in the given numbers to get:

25 = 10 + 13 + 12 - AB - 5 - 4 + 2

25 = 35 - AB - 9 + 2

25 = 35 - AB - 7

AB = 35 - 7 - 25

AB = 3

You might be interested in
What is the value of x?<br><br> A. 25 cm<br><br> B. 7 cm<br><br> C. 29 cm<br><br> D. 35 cm
natima [27]

Answer:

  29 cm

Step-by-step explanation:

The central triangle is isosceles, so the length if its right side (x) is the same as the length of its left side (29 cm).

  x = 29 cm

6 0
3 years ago
Suppose a college student pays $750 for tuition fees. However, she also has to pay $300 for her textbooks (ouch!). What percent
Shalnov [3]

Answer:

Total costs = $700 + $300 = $1000.

 $300 / $1000 = 0.3 = 3%

Step-by-step explanation:

3 0
3 years ago
I need help with this logic puzzle,
natka813 [3]
I cannot reach a meaningful solution from the given information. To prove that S was always true, you would have to prove that N was always false. To prove that N was always false you would have to prove that L was always false. For the statement (L ^ T) -> K to be true, you only need K to be true, so L can be either true or false.
Therefore, because of the aforementioned knowledge, I do not believe that you can prove S to be true. 
3 0
3 years ago
Please help me find what ? Is
kotegsom [21]

Answer:

My answer is 43 its that rigth

4 0
3 years ago
In how many ways can a
Tomtit [17]

Answer:

The answer is 364. There are 364 ways of choosing a recorder, a facilitator and a questioner froma club containing 14 members.

This is a Combination problem.  

Combination is a branch of mathematics that deals with the problem relating to the number of iterations which allows one to select a sample of elements which we can term "<em>r</em>" from a collection or a group of distinct objects which we can name "<em>n</em>". The rules here are that replacements are not allowed and sample elements may be chosen in any order.

Step-by-step explanation:

Step I

The formula is given as

C (n,r) = \frac{n}{r} = \frac{n!}{(r!(n-r)!)}

n (objects) = 14

r (sample) = 3

Step 2 - Insert Figures

C (14, 3) = (\frac{14}{3}) = \frac{14!}{(3!(14-3)!)}

= \frac{87178291200}{(6 X 39916800)}

= \frac{87178291200}{239500800}

= 364

Step 3

The total number of ways a recorder, a facilitator and a questioner can be chosen in a club containing 14 members therefore is 364.

Cheers!

6 0
3 years ago
Other questions:
  • Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures televisions can be mo
    5·2 answers
  • You collect 30 pieces of Halloween candy and you give x pieces to
    7·1 answer
  • What is the equation of the plane that contains the triangle shown in the diagram?
    9·2 answers
  • What is the value of x?
    8·1 answer
  • Functions in Math, Please Help​
    6·2 answers
  • FAST!!!NEED HELP!!!!
    14·1 answer
  • An estate of $686,000 is left to three siblings. The eldest receives 2 times as much as the youngest. The middle sibling receive
    13·2 answers
  • You can replace any letter in function notation with any number.
    13·1 answer
  • 4 movie ticlet cost $35 = ? dollars per ticket
    12·1 answer
  • Which expression has a value located to the right of 1 on the number line?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!