Math

posted by .

Can someone check my answers and help me

1. A vector in standard position has its initial points at (0,0)
True?

2. The general formula for finding the probability of two events A and B that are not mutually exclusive and overlap is given by: P(A or B) = P(A) + P(B) + P(A and B)
True?

3. The formula for the arrangement of r of n objects is given by: n!/(n-r)!
False?

4. In buying a car, a customer has a choice of 3 bumper types, 4 stereo systems, 8 interior colors, 2 engines, 4 carpets, and 6 seat covers. How many different combinations of these 6 options are available?
Is it 4608?

5. The following statement is true by mathematical induction: n! > or equal to 2^n for all natural numbers n
False

Thank you!

  • Math -

    1. ok
    2. dependent or independent?
    independent is P(A) + P(B) - P(A&B)
    3. True - check your text
    4. ok
    5. ok
    but it is true for n>3

  • Math -

    So if it is true for n>3, would the answer be true?

  • Math -

    NO! All natural numbers means n>0

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Finding a Formula, help please !

    Does anyone know the formula to find any point between two other given points in a line?
  2. Math: Vectors - Collinear

    Can you please check whether my answers are correct?
  3. Applied Maths

    Given that position vector a=4i+2j, position vector b=13i+5j are the vectors of A and B respectively. Given also that C lies on the line AB such that (Ab/AC)=3. Find vector AB, vector AC and the position vector of C. Given that vector …
  4. Calculus - Dot Product

    consider a rhombus ABCD a) find the resultant of vector AB + vector AD and vector AB - vector AD?
  5. Physics

    The velocity vefot of a ball is v(t)=-3x+4y at any time. Its initial position is r=12x-4y. The components of the velocity vector are in m/s and the components of the position vector are in meters. The symbols x and y are the unit vetors …
  6. Algebre=Please check

    Could someone check my answers for these two questions, please?
  7. Calc III

    Find the position vector of a particle that has the given acceleration and the specified initial velocity and position. a(t)= 56t i + sin(t) j + cos(2t) k v(0)= i r(0)= j I need help finding r(t) Thanks so much for your help!!
  8. Vectors

    Verify using a specific example that (Vector a + Vector b) × (Vector a – Vector b) = 2(Vector b×Vector a). Expand to the general case to prove that the result is always true.
  9. calculus

    State whether or not the following statements are true. Justify your reasoning.?
  10. Math

    Vocab __?__ events, or __?__ __?__ events are events that have no outcomes in common. __?

More Similar Questions