Math Answers

the two unit vectors parallel to the line 𝑦=−(3𝑥+5)

. The probability of contracting pulmonary tuberculosis in a given area is 0.003. What

is the likelihood that an examination of 1000 people will reveal three patients?

The pharmacy received 1000 bottles of mineral water. The probability that the bottle

will be broken during transportation is 0.003. Determine the likelihood that the pharmacy will

receive broken bottles: a) Two b) Less than two c) More than two d) At least one

The plant sent 5,000 thermometers to the pharmacy warehouse. The probability that

the product will be damaged on the way is 0.0002. What is the likelihood that three damaged

thermometers will arrive at the pharmacy warehouse?

The student answers 3 additional questions when passing the exam. The probability of

answering each question correctly is 0.21. Assuming that all the answers are independent events,

find the probability that at least two correct answers will be given

. The probability that the tablet disintegration device will fail during the day is 0.03.

What is the probability that the device will not fail for forty days in a row

When a substance is synthesized under laboratory conditions, the probability of an

explosion in a separate experiment is p = 0.02. Determine the probability that in a series of 10

syntheses: 1) the explosion will occur three times; 2) the explosion will not occur

Let the probability that the electrocardiograph will require repair during the warranty

period is 0.2. Determine the probability that during the warranty period out of six cardiographs:

1) no more than one will require repair; 2) at least one will require repair

A company has decided to produce a new cereal called ‘Nuts and Bran’ which contains only nuts (N) and bran (B). The company has RM15000 to spend on nuts and bran. The cost of nuts is RM1200 and RM800 for bran.

     a.   Draw an isocost curve showing the different combinations of nuts and bran that the company can purchase.

(10 marks)

    b.   What will hapeen to the original isocost line if:

1.     the capital reduce by 25%?
2.     the price of nuts increase by RM200?
3.     the price for both nuts and bran reduce by 15%?

A recent study found that 2 out of every 10 houses in a neighborhood have no insurance. If 5 houses are selected from 10 houses, find the probability that fewer than 4 will be insured.