Eleza jinsi hisabati inavyotumika katika shughuli zetu za kila siku katika maeneo ya shule na viwanda, na jadili umuhimu wake kwa maisha yetu.

The value is $\boxed{0.29}$.

(ii) $xz$

The value is $\boxed{0.06}$.

(b) Mapato ya wastani ya kampuni fulani ni TZS milioni 77 kwa mwaka. Ikiwa mapato yanatofautiana kwa TZS milioni 1.2, ni yapi mapato ya chini na ya juu ya kampuni hiyo?

Mean income = TZS 77,000,000
Variation = TZS 1,200,000

Minimum income = Mean income - Variation

Maximum income = Mean income + Variation

The minimum income is $\boxed{\text{TZS 75,800,000}}$ and the maximum income is $\boxed{\text{TZS 78,200,000}}$.

3. (a) Andika 47628.03514 kwa usahihi wa;

(i) sehemu mbili za desimali

Since it is 5 or greater, round up the second decimal place.

The number is $\boxed{47628.04}$.

(ii) tarakimu saba muhimu

4, 7, 6, 2, 8, 0, 3. The seventh significant figure is 3.

Since it is 5 or greater, round up the seventh significant figure.

The number is $\boxed{47628.04}$.

(iii) mamia ya karibu
This refers to rounding to the nearest hundredth, which is the same as 2 decimal places.

Since it is 5 or greater, round up the hundredths digit.

The number is $\boxed{47628.04}$.

(iv) maelfu ya karibu

Since it is 5 or greater, round up the thousands digit.

The number is $\boxed{48000}$.

(b) Amina na marafiki zake 17 walinunua chupa 212 za vinywaji baridi kwa bei ya TZS. 635 kwa chupa. Ikiwa gharama yote iligawanywa sawa kati yao, kadiria ni kiasi gani kila mtu alilipa.

Amina + 17 friends = $1 + 17 = 18$ people.

Total cost = Number of bottles $\times$ Price per bottle

To estimate, we can round the total cost and the number of people.
Round 134,620 to 135,000.
Round 18 to 20.
Estimated cost per person $\approx \frac{135,000}{20} = \frac{13,500}{2} = 6,750 \text{ TZS}$

For a more precise calculation:
Cost per person = Total cost / Number of people

Rounding to the nearest TZS, each person paid approximately TZS 7479.
The estimated amount each person paid is approximately $\boxed{\text{TZS 6,750}}$. (Using the rounding method for estimation)
The actual amount each person paid is approximately $\boxed{\text{TZS 7,479}}$.

4. (a) Jason ana sarafu za shilingi 500, 200, na 100 za Tanzania. Uwiano wa jumla ya kiasi cha sarafu hizi ni 2:3:5 na jumla ya kiasi ni TZS 780,000. Tafuta idadi ya sarafu za kila aina.

Total ratio parts = $2 + 3 + 5 = 10$ parts.

Value per part = Total amount / Total ratio parts

Amount from TZS 500 coins = $2 \times 78,000 = 156,000 \text{ TZS}$
Amount from TZS 200 coins = $3 \times 78,000 = 234,000 \text{ TZS}$
Amount from TZS 100 coins = $5 \times 78,000 = 390,000 \text{ TZS}$

Number of TZS 500 coins = $\frac{156,000}{500} = 312$ coins
Number of TZS 200 coins = $\frac{234,000}{200} = 1170$ coins
Number of TZS 100 coins = $\frac{390,000}{100} = 3900$ coins

The number of TZS 500 coins is $\boxed{312}$, TZS 200 coins is $\boxed{1170}$, and TZS 100 coins is $\boxed{3900}$.

(b) Namba mbili zinazofuatana ziko katika uwiano wa 2:7. Ikiwa 6 ikiongezwa kwenye jumla yao, matokeo ni 32. Tafuta jumla ya namba hizo.

The phrasing "Two consecutive numbers are in the ratio 2:7" is contradictory, as consecutive numbers (e.g., $n, n+1$) would have a ratio close to 1, not 2:7. We will assume the question means "Two numbers are in the ratio 2:7".

Let the two numbers be $2x$ and $7x$.

The sum of the numbers is $2x + 7x = 9x$.
If 6 is added to their sum, the result is 32:

Subtract 6 from both sides:

Divide by 9: