Math Answers

Your Company manufactures goods for a market in which the technology of

the products is changing rapidly. The research and development department has produced a

new product which appears to have potential for commercial exploitation. A further Rs.

60,000 is required for development testing.

The company has 100 customers and each customer might purchase, at the most , one unit of

the product. Market research suggests a selling price of Ts. 6000 for each unit with total

variable costs of manufacture and selling estimated at Rs. 2000 for each unit.

As a result of previous experience of this type of market, it has been possible to derive a

probalility distribution relating to the proportions of customers who will buy the product, as

follows:

Proportion of customers: 0.04 0.08 0.12 0.16 0.20

Probability: 0.1 0.1 0.2 0.4 0.2

Determine Expected Opportunity Losses, given no further information than that stated above

and state, whether or not, the company should develop the product.

Which rule represents the translation from the pre-image, ABCD, to the image, A'B'C'D'?

T_1, –2(x, y)

T_{1, 2}(x, y)

T_–2, 1(x, y)

T_2, 1(x, y)

Find the most general antiderivatives f(x)= -8(e^x)-6(sec^3)(x), where -pi/2 <x< pi/2

Keith borrowed money from a credit union for 5

 years and was charged simple interest at an annual rate of 7

%

. The total interest that he paid was $

3150

. How much money did he borrow?

(y+z)p+(z+x)q=x+y

Solve the following first order linear equations

1)dy/dx=e^2x+3y

2)xy×dy/dx=2(y+3)

3)(1+x^2).dy/dx-xy(1+y)=0

4)sinx/1+y.dy/dx=cosx

5)cos^2x.dy/dx=y-3

1. How do you determine the probability of a random variable? 2. How do you construct the bar graph of a probability distribution?

Determine whether the given values can serve as the values of a probability distribution of the random variable X that can take only the values 1, 2, 3, and 4. Write PD if it is a probability distribution and DPD if it is not on the space provided. ___________ 1. ___________ 2. ____________ 3. ____________ 4. P(1) = 0.08, P(2) = 0.12, P(3) = 1.03 ____________ 5. P(1) = 10 33 , P(2) = 1 3 , P(3) = 12 33 X 1 5 8 7 9 P(X) 1/3 1/3 1/3 1/3 1/3 X 0 2 4 6 8 P(X) 1/6 1/6 1/3 1/4 1/8 X 1 3 5 7 P(X) 0.35 0.25 0.22 0.12

The number of inquiries received per day by the Office of

Admissions in a certain university is shown below. Find the variance

and standard deviation.

Number of inquiries: 22, 23,24,25,26,27

Probability: 0.08, 0.19, 0.36, 0.25, 0.07, 0.05

what is the probability that a market inspector will discover greater than five violation of the public health code