Explanation

If we add a constant (such as 3) to each observation of a data set, the mean will be increased by 3

This is because adding the same constant to each data point shifts the entire data set by that constant value, including the mean.

Explanation

Pictograms use symbols or images to represent data in a way that shows the frequency or count of items.

Each symbol or image represents a specific quantity, making it easy to visualize and compare counts.

Explanation

Note: The answer given in the FPSC answer key is (c) but the actual answer is (b).

A rudder is a steering device used in boats and ships.

Birds do not have rudders.

They use their wings and tail feathers for steering and balance.

Explanation

Each pair of shoes consists of 2 shoes, so 100 pairs of shoes equals:

$$100\times 2=200\text{ shoes}$$

Each case holds 20 shoes, so to find how many cases are needed:

200/20 ​=10 cases

Explanation

Let's break this down logically:

(i) A toothpaste is useful.

(ii) Useful things are valuable.

From (i), we know that a toothpaste is useful. And from (ii), we know that useful things are valuable.

Therefore, since toothpaste is useful (from i), and useful things are valuable (from ii), we can conclude that toothpaste is valuable.

Thus, statement (iii) "A toothpaste is valuable" follows logically from (i) and (ii).

The correct answer is:

(a) True

Explanation

Explanation

The domain of a relation is the set of all first elements in the ordered pairs. For the relation R: 

So, the domain of  𝑅 is {4,5,6}.

Explanation

The set $left{frac{p}{q} : p, q in mathbb{Z}, q neq 0right}$ represents the set of rational numbers.

Rational Numbers: A number is considered rational if expressed as the quotient $frac{p}{q}$, where $p$ and $q$ are integers and $q\mathrm{\ne }0$

This set includes numbers like $frac{1}{2}$, $-frac{3}{4}$, and $7$ (which can be written as $frac{7}{1}$).

Explanation

Explanation