Math Answers

Suppose that the domain A of P(x) is the finite set {1, 2, 3, 4}. Write out the following proposition using disjunctions, conjunctions, and negations.

¬((∀x ∈A)P(x))

Write the statement "The apartment is hot or the air-conditioned is not working, if and only if the temperature is 90°F" in symbolic form if p:the temperature is 90°F q:The air-conditioned is not working r:The apartment is hot

Determine the truth value of the following statement.

(∃n ∈Z)(n2= 3)

The equation of a circle is given by 2x^2+2y^2-8x+5y-10=0 find the coordinates of P and Q if the circle cuts the x-axis as at the points P and Q

you need 3/4 of ribbon for one gift box. you have 3 yards of ribbon. how many gift boxes do you have ribbon for?

Define the following terms

PART 1.

a) What is an equation?

b) What is a linear equation?

c) What is determinants?

d) What is a matrix?

e) What is linear programming?

WORKOUT PROBLEMS

Instruction: show all the necessary steps for the following problems on the space provided.

2. If two members are chosen at random from a committee consisting of 10 members of which 4 are women. Then what is the probability that the randomly chosen members consist of

A. both women

B. both men.

C. one man and one women

3 The probability that a person stopping at a petrol pump will get his tires checked is 0.12, the probability that he will get his oil checked is 0.29. and the probability that he will get both checked is 0.07.

9. The following statements are true except, the  

A, sum of the probabilities of two complementary events of a statistical experiment is 1.

B, sum of the probabilities of all the sample points of a statistical experiment is 1.

C. sum of the probabilities of two mutually exclusive events of statistical experiment is 1.

D. sum of the probability of one or the other mutually exclusive events happening in less or equal to 1.

what is the numbers of ways to order the 26 letters of the alphabet so that no two of the vowels a,e,i,o,u occur consecutively ?

how many non-negative integers less than 10⁴ that contain the digit 2 ?