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earnstyle [38]
3 years ago
11

Among 18 students in a room, 7 study mathematics, 10 study science, and 10 study computer programming. Also, 3 study mathematics

and science, 4 study mathematics and computer programming, and 5 study science and computer programming. We know that 1 student studies all three subjects. How many of these students study none of the three subjects?

Mathematics
2 answers:
tatyana61 [14]3 years ago
8 0

Answer:

2 students study none of the subjects.

Step-by-step explanation:

Consider the attached venn diagram. First, we place that 1 student studies the three subjects. Then, we notice that 3 students study math and science, then 2 students study math and science only, since we have 1 that studies the three subjects. In the same fashion, we have that 3 students study Math and computer programming only (since they are 4 in total). Note that since 7 students study math, and we already have 6 students in our count in the math subject this implies that 1 student studies only math (the total number of students inside the math circle must add to 7).

We also have that 4 students study science and computer programming only. Which implies that we must have 3 students that study science only (10 students that study science in total) and 2 students study computer programming (for a total of 10 students). The total number of students that study none is the total number of students (18) minus the amount of students that is inside the circles (16) which is 2.

emmainna [20.7K]3 years ago
3 0

Answer: 3 students study none of the three subjects

Step-by-step explanation:

The Venn diagram representing the situation is shown in the attached photo.

M represents the sub set of mathematics students.

S represents the sub set of science students.

CP represents the sub set of computer programming students.

From the diagram,

The number of students studying mathematics and science only is

3 - 1 = 2

The number of students studying mathematics and computer programming only is

4 - 1 = 3

The number of students studying science and computer programming only is

5 - 1 = 4

The number of students studying mathematics only is

7 - (2 + 1 + 3) = 1

The number of students studying mathematics only is

10 - (2 + 1 + 4) = 3

The number of students studying computer programming only is

10 - (3 + 1 + 4) = 2

Let x represent the number of students that study none of the three subjects. Since the total number of students is 18, it means that

2 + 3 + 4 + 1 + 3 + 2 + x = 18

15 + x = 18

x = 18 - 15 = 3

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Gnom [1K]

Answer:

Volume = 1470\ in^3

Step-by-step explanation:

Given

Height = 7in

Base\ Area = 210in^2

Required

Determine the volume

The volume of the drawer is calculated as:

Volume = Base\ Area * Height

Substitute values for Base Area and Height

Volume = 210\ in^2 * 7in

Volume = 1470\ in^3

3 0
3 years ago
Steps to solve this-- Find the percent of increase from 380 to 440. Round to the nearest tenth of a percent if necessary. 13.6%
OLga [1]
If 380 would be 100%

Then use rule of 3

380 ______ 100%

440 ______ y

380y = 440×100%

380y = 440 × 1

Dividing both the sides by 380

y = 440/380

y = 1,158

Let's multiplity "y" by 100

y = 115,8%

As we did have 100% initially

Then the increase will be

The increase = 115,8% -100%

= 15,8%

This would your answer
8 0
3 years ago
Find the length of the hypotenuse
Darina [25.2K]

Answer:

The Hypotenuse is side just opposite to the right angle.

Step-by-step explanation:

By Pythagoras' theorem,

c^2=a^2+b^2

c^2(hypotenuse to be found)= 30^2+ 16^2

<em>c^2=1156 </em>

<em><u>Therefore, c ( i.e. the hypotenuse) will be the square root of 1156. </u></em>

<em><u>The square root of 1156 is 34. </u></em>

<h2><em><u>Thus, c ( hypotenuse) = 34</u></em></h2>

Hope it helped :)

3 0
3 years ago
-0.06m = 7.2 what is m?
Nata [24]
-0.06m=7.2
-0.06m/-0.06 = 7.2/-0.06
m = -120
3 0
3 years ago
Read 2 more answers
Help help help please
Karolina [17]

Answer:

343 meters.

Step-by-step explanation:

Since, both the shapes are similar, their sides are also similar.

21 / 24 = 49 / w

1 / 7 = 49 / w

w = 7 * 49

w = 343

4 0
3 years ago
Read 2 more answers
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