Explanation

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*b = (a+b) + ab

3_4 = (3+4) + 3×4 = 7 + 12 = 19

2_3 = (2+3) + 2×3 = 5 + 6 = 11

(3_4) - (2_3) = 19 - 11 = 8

Explanation

Speed = 90 km/h = 25 m/s

Distance = 25 × 21 = 525 m

Length of tunnel = 525 - 130 = 395 m

Last verified on 22-01-2026

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

Explanation

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

Step 1: Calculate the first expression

First, we add 73 to 89, which gives 73+89=162

Step 2: Double the sum and verify the resul

.Then, we double this amount: 162 x 2=324

Next, we calculate the square of 18, which is 18^{2}=18 x  18=324

Explanation