Explanation

Highest = $45

Lowest = $26

Range = 45 - 26 = 19

Last verified on 09-02-2026

Explanation

First, arrange the marks in order: 15, 16, 19, 21, 22, 25

Number of tests = 6 (even)

Median = avg of 3rd & 4th values = (19 + 21)/2 = 40/2 = 20

Last verified on 07-02-2026

Explanation

Branchless banking provides banking services without physical branches, making it convenient, cost-effective, and accessible to remote areas.

Explanation

Crypto trading is an investment activity, not a branchless banking service.

Branchless banking refers to banking without physical branches, using mobile phones, ATMs, agents, or the internet.

Explanation

1. Let the incomes of A and B be 3x and 5x, respectively$5x$.

2. Let expenditures of A and B be EA​ and $E_B$.

   • Given:$E_A + E_B = 18,000$

   • Savings of A = Expenditure of B → $3x - E_A = E_B$

3. Substitute $E_B = 18,000 - E_A$ into savings equation:

3x−EA​=18,000−EA​⟹3x=18,000⟹x=6,000

4. Income of A =$3x=18,000$, Income of B =$5x=30,000$

5. Expenditure of A = 18,000 – Expenditure of B = 18,000 – 7,500 = 10,500

Explanation

An agenda, which is a list of items, topics, or tasks to be discussed or accomplished during a meeting or in a specific timeframe, may also be called a schedule, plan, calendar, docket, or program.

It outlines the order of business, ensuring all necessary matters are addressed. 

Explanation

• In statistics and research, hypotheses are used to test ideas.
• The null hypothesis (H₀) states that there is no effect or difference.
• The hypothesis that states there is an effect or difference is called the alternate hypothesis (H₁).

Last verified on 23-01-2026

Explanation

A voucher is a document that records a financial transaction.

It can serve as a wages sheet for employee salary payments.

It can also act as a bank receipt for money received.

It can be a payment bill to authorize payments to suppliers or creditors.

Vouchers are essential for accounting, auditing, and financial control

Explanation

• The range is the difference between the maximum and minimum values in a data set.
• It shows the spread or dispersion of the data.
• Formula: Range = Maximum value − Minimum value

Additional information:

• Example Data Set: 4, 7, 10, 15, 20 → Range = 20 − 4 = 16

Other Measures of Central Tendency:

• Mean → Average of values
• Mode → Most frequent value
• Median → Middle value

Last verified on 19-01-2026

Explanation

13 mod 5 = 3

17 mod 5 = 2

(13 × 17) mod 5 = (3 × 2) mod 5

= 6 mod 5

= 1