Question: Please answer the solve the problems 1. A driver drives from A to B at 100 km/h and returns from B to A at 120

Please answer the solve the problems

1. A driver drives from A to B at 100 km/h and returns from B to A at 120 km/h. What is the average speed?

2. A fish stall in a vegetable market sells large crucian carp weighing 0.4 kilograms each for $20 per kilogram and small crucian carp weighing 0.25 kilograms each for $12 per kilogram. A customer asked the stall owner to buy one big and one small carp and weigh them together for $16 per kilogram. The stall owner agrees and asks who has the advantage in this sale? Why?

3. The grouped data of capital profitability and the data of annual profit amount of each group for 27 enterprises under a company are shown in the following table:

Grouped by capital

margin%

Number of companies

Annual profit amount (million yuan)

Below 8

812

1216

1620

More than 20

2

6

12

5

2

300

1000

2600

1200

400

Total

27

5500

Please calculate:

(1) the average amount of profit per firm;

(2) The average capital profit margin for the entire firm (using absolute and relative weights, respectively).

4. The production of products in three workshops of an enterprise in a certain year is shown in the following table:

Workshop

Passing

Rate%

Qualified products production (units)

Number of annual production hours (hours)

A

B

C

98

95

99

19600

18620

18434

6800

7200

8000

Total

56654

22000

Ask:

(1) If the 3 workshops complete the processing and assembly of a process of the whole product in turn, what are the total pass rate, average pass rate and average reject rate of the whole plant?

(2) If each of the three workshops completes the production and processing of the whole product, what are the total pass rate, average pass rate and average reject rate of the whole plant?

(3) If the three workshops produce different products (with different use values), what are the total qualification rate, the average qualification rate and the average scrap rate of the whole plant?

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