Explanation

To determine how many students like all three subjects, we can use the principle of inclusion-exclusion.

Given:

- Total number of students in the class: 30

- Number of students who like Math: 16

- Number of students who like Physics: 10

- Number of students who like English: 12

- Number of students who like Math and English: 4

- Number of students who like Physics and English: 3

- Number of students who like Math and Physics: 3

First, let's find the number of students who like at least one subject. '

To do this, we add the number of students who like each subject individually:

16 (Math) + 10 (Physics) + 12 (English) = 38

To account for this, we need to subtract the number of students who like two subjects, as we have counted them twice:

4 (Math and English) + 3 (Physics and English) + 3 (Math and Physics) = 10

Now, we have counted all the students who like at least one subject, but we need to consider the student who likes no subject.

This student is not counted in the above calculations, so we subtract 1 from the total.

38 - 10 - 1 = 27

Therefore, 27 students like at least one subject.

To find the number of students who like all three subjects

30 - 27 = 3

Explanation

To translate the statement into an equation, we need to break it down.

The phrase "Two times a number" can be represented as 2x, where x represents the unknown number.

The phrase "taken away from 10" indicates subtraction, so we subtract 2x from 10.

Finally, the phrase "is 4" means that the expression is equal to 4.

Combining these elements, we get the equation:

10 - 2x = 4

Explanation

Tanker ships are used to transport petroleum over long distances across the oceans.

They are specifically designed to carry large quantities of oil and are often the preferred method for transporting oil internationally.

Explanation

Editing is not a recognized form of business continuity planning itself.

Business continuity planning focuses :

on proactive measures to ensure the continuity of critical business functions during and after a disruptive event.

Explanation

the main purpose of most professional documents is to motivate readers to take a specific action by providing

• compelling information
• persuasive techniques
• Information and Benefits
  
• Building Trust and Credibility
• Clear Communication
  

Explanation

Given:

Central angle = 180 degrees

1. Calculate the total angle of the pie graph:

The total angle of a pie graph is always 360 degrees since it represents the whole or 100% of the data.

2. Determine the proportion:

The proportion is the ratio of the given angle to the total angle of the pie graph.

In this case, it is 180 degrees divided by 360 degrees.

Proportion = 180 degrees / 360 degrees

Simplifying the division:

Proportion = 1/2

Therefore, the proportion of the central angle in the pie graph is 1/2, which can also be expressed as 50% or 0.5.

Explanation

If N won the fourth prize of Rs 15, 000, which of the following is a pair of students where the first-named student won Rs 5,000 more than the second-named student?

"L and K" is the correct option according to the CAA ANSWER KEY 2019

Explanation

If a candidate is to win an election easily, that candidate must respond to the electorate's emotional demands that the opponent either does not see or cannot act upon. Although these emotional demands are often not directly articulated by the electorate or by the candidate responding to them, they are an integral part of any landslide victory.

Question:

Which one of the following conclusions can most logically be drawn from the passage above?

A. If neither candidate responds to the emotional demands of the electorate, either candidate might win in a landslide

B. If an election is closed, the emotional demands of the electorate are conflicting.

C. If a candidate responds to the emotional demands of the electorate,  that candidate will have a landslide victory.

D. An election during which neither candidate responds to the emotional demands of the electorate will not result in a landslide

E. Emotional demands are the only inarticulated issue in an election

"correction answer D"

Explanation

To find the approximate distance from the lens to the image in a camera with a focal length of 6 centimeters, we can use the lens formula:

1/focal length = 1/object distance + 1/image distance

Given information:

- Focal length = 6 centimeters

In this case, the distant scene is being photographed, so we can assume that the object's distance is very large, approaching infinity.

As a result, we can approximate the lens formula as:

1/focal length ≈ 1/image distance

Simplifying the equation:

1/6 cm ≈ 1/image distance

Cross-multiplying:

image distance ≈ 6 cm

Therefore, the distance from the lens to the image is approximately 6 centimeters.

Explanation

To find the value of 2x + 3y when x = 3 and y = 2, we substitute these values into the expression and perform the calculations.

Given:

x = 3

y = 2

Substituting these values into the expression:

2x + 3y = 2(3) + 3(2)

Simplifying the expression:

2x + 3y = 6 + 6

Calculating the sum:

2x + 3y = 12

Therefore, when x = 3 and y = 2, 2x + 3y equals 12.