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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

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8. Solve for x. Round your answer to the nearest tenth.<br> 8.6<br> 4<br> x<br> 0176
earnstyle [38]

Answer:

C. 9.5

Step-by-step explanation:

The Pythagorean Theorem: a^2 + b^2 = c^2.

4^2 + 8.6^2 = c^2

16 + 73.96 = c^2

c^2 = 89.96

c = 9.4847....

8 0
2 years ago
There are 200 balls of the same size inside a dark room. There are 100 white balls, 55 red balls, and 45 black balls. If one stu
Komok [63]

Answer:

Probability of picking Red ball is 27.5%

Step-by-step explanation:

Given:

Total Number of balls = 200

Number of White balls = 100

Number of Red balls = 55

Number of Black balls = 45

We need to find the probability of the ball picked to be red.

Solution:

Now we know that;

Probability is equal to number of Possible Outcomes divide by total number of Outcomes multiplied by 100.

framing in equation form we get;

P(Red) = \frac{\textrm{Number of Red balls}}{\textrm{Total Number of balls}} \times 100

P(Red) = \frac{55}{200}\times100

P(Red) = 27.5\%

Hence Probability of picking Red ball is 27.5%.

6 0
3 years ago
Let A = R−{0}, the set of all nonzero real numbers, and consider the following relations on A × A. Decide in each case whether R
andre [41]

Answer:

Step-by-step explanation:

Let A = R−{0}, the set of all nonzero real numbers, and consider the following relations on A × A.

Given that (a,b) R (c,d) if ad=bc

Or (a,b) R (c,d) if determinant

\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] =0

a) Reflexive:

We have (a,b) R (a,b) because ab-ab =0 Hence reflexive

b) Symmetric

(a,b) R (c,d) gives ad-bc =0

Or da-cb =0 or cb-da =0 Hence (c,d) R(a,b). Hence symmetric

Download docx
5 0
3 years ago
a line with slope 3 passes through point (0,10). What is the y-coordinate of the point on the line with x-coordinate 2
skad [1K]

The y-coordinate is 16

<h3><u>Solution:</u></h3>

Given that a line with slope 3 passes through point (0, 10)

To find the y-coordinate of the point on the line with x-coordinate 2

Which means the point is (2, y)

Let us find the required y co-ordinate using slope formula

<em><u>The slope of line is given as:</u></em>

For a line containing points (x_1 , y_1) and (x_2 , y_2) is given as:

\text {slope}=m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

\text {Here } x_{1}=0 ; y_{1}=10 ; x_{2}=2 ; y_{2}=y

Given that slope "m" = 3

Substituting the values we get,

\begin{array}{l}{3=\frac{y-10}{2-0}} \\\\ {3=\frac{y-10}{2}} \\\\ {6=y-10} \\\\ {y=10+6=16}\end{array}

Thus the y-coordinate is 16

8 0
3 years ago
What is an equation of the line that passes through the points (-3,-1) and
NARA [144]

The equation of line that passes through the points (-3,-1) and

(-6,3) is:

y=-\frac{4}{3}x-5

Step-by-step explanation:

Given points are:

(-3,-1) =(x1,y1)

(-6,3)=(x2,y2)

The slope-intercept form of equation of line is:

y=mx+b

We have to find the slope first

m=\frac{y_2-y_1}{x_2-x_1}\\=\frac{3-(-1)}{-6-(-3)}\\=\frac{3+1}{-6+3}\\=\frac{4}{-3}

Putting the value of slope in the slope intercept form

y=-\frac{4}{3}x+b

To find the value of b, putting the point (-3,-1) in the equation

-1=-\frac{4}{3}(-3)+b\\-1= 4+b\\b=-4-1\\b=-5

Putting the values of b and m

y=-\frac{4}{3}x-5

The equation of line that passes through the points (-3,-1) and

(-6,3) is:

y=-\frac{4}{3}x-5

Keywords: Equation of line, slope intercept form

Learn more about equation of line at:

  • brainly.com/question/4703807
  • brainly.com/question/4703820

#LearnwithBrainly

6 0
3 years ago
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