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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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3 years ago
Work out the value of x.<br>Need answer soon :) ​
german

Answer:

x+20

Step-by-step explanation:

As we can see n the diagram, there are parallel traversals and one line, and the two angles given are same-side interior angles. We know that when there is parallel traversal, and we have same side interiors, the sum of the measure of the two angles are supplementary. Supplementary means 180 degrees, or a straight line.

So we plug everything in and we have  4x+5x=180 degrees

4x+5x=9x, so 9x=180

We divide by 9 on both sides to get the value of x, which is 20

Hope it helps!

6 0
3 years ago
Which do the following options represent the measure of arc RA
ANTONII [103]

Answer:

77.2°

Step-by-step explanation:

Consider the triangle JKR.

∠KJR=108.6 (lies on the same line as ∠RJA, angles on a straight line add up to 180)

All the angles in a triangle add up to 180, so:

∠JKR+∠KJR+∠JRK=180

∠JKR+108.6+32.8=180

∠JKR=38.6=∠RKA

Consider ∠RKA. This angle stands on the same arc as ∠RCA.

Since the angle at centre is twice the angle at circumference, 2(∠RKA) = ∠RCA.

2(∠RKA) = ∠RCA

2(38.6)=∠RCA

∠RCA=77.2°

5 0
3 years ago
Dominic wants to test if one of two types of fertilizer (a standard fertilizer and a new product) is better for producing melons
prohojiy [21]

Answer:

C

Step-by-step explanation:

A. is wrong because having a different height for each seedling and not trying to keep it equal is simply worse than making sure the heights are identical.

B. Completely wrong because it would likely result in 1 plot having more melon seedlings than the other.

C. Correct because it makes sure the seedlings are the same height at the beginning of the experiment, allowing less randomness in the experiment.

D. Putting the taller of a each pair for 1 plot makes it the experiment rigged in favor of the plot with taller seedlings

E. Same issue as D.

6 0
3 years ago
Is this correct? If not plz get answers 25points!!!
katen-ka-za [31]

That is correct.

Sqrt 5 x sqrt20

Apply the radical rule to get sqrt( 5 x 20)

Simplify to get sqrt(100)

Sqrt(100) = 10

8 0
2 years ago
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