Explanation

n(A) = 75% of 600 = 450

n(B) = 45% of 600 = 270 and n(A ∪ B) = 600

∵ n(A∩B) = n (A) + n(B) - n(A∪B) = (450 + 270 - 600) = 120

Explanation

The ratio of copper to silver is 3:7.

To find the percentage of silver in the alloy, we can use the following formula:

Percentage of silver = (Amount of silver / Total amount) × 100

First, let's find the total amount:

Total amount = Copper + Silver

= 3 + 7

= 10

Now, we can plug in the values:

Percentage of silver = (7 / 10) × 100 = 70%

So, the percentage quantity of silver in the alloy is 70%.

The correct answer is: 70%

Explanation

The mean proportional between two numbers a and b is a number x such that: a : x :: x : b

In this case, we want to find the mean proportional between 64 and 81.

Let's set up the proportion: 64 : x :: x : 81

We can rewrite this as: 64/x = x/81

Cross-multiplying, we get: 64 × 81 = x^2

Simplifying, we get: 5184 = x^2

Taking the square root of both sides, we get:

x = √5184

x = 72

So, the mean proportional between 64 and 81 is 72.

Explanation

The Anti-Money Laundering Act was passed in 2010.

It was designed to combat money laundering and financial crimes by establishing regulations and procedures for financial institutions.

Explanation

The War in Darfur is also known as the Land Cruiser War.

It was began in February 2003 in the Darfur region of western Sudan.

The conflict centered on unresolved issues in the region.

Explanation

"My mother boils eggs for breakfast every morning."

In this sentence, "boils" is used to match the singular subject "my mother" and indicate a regular action.

Explanation

Let third number = x

First number = 120/100 x = 6x/5

Second number = 150/ 100x = 3x/2

Ratio of two numbers = 6x/5 : 3x/2 = 12x : 15x = 4:5

Explanation

Capricious means موجی

Impetuous means پرجوش

Explanation

Average of a , b = ( a + b ) /2

16a + 16b = 48

a + b = 3  || divide each term by 16

The average is ( a + b ) / 2 = 3/2

= 1.5

Explanation

The correct sentence is: "He doesn't like to eat vegetables."

"Doesn't" is the correct form of the auxiliary verb for the third person singular, and "like" is used in its base form.