Math Answers

Find the lengths of the sides of an isosceles triangle with a given perimeter if its area is to be as great as possible.

Use logarithmic differentiation to prove D9: d/dx (1/u^n) =( -n/u^n+1)(du/dx)

Direction find the changebin temperature use this symbol (°) to indicate degree

1.22° to 31°C 

2. 46 °F to 8°F

3.18°C to 26°C

4.21°C to -11°C

5. 5°C to 41°C

If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a 7 or 3? (Your answer must be in the form of a reduced fraction.)

A newly couple has planned to.have two children let B denotes that the first child is a boy and G denotes that the second child is a girl,BB denotes that first child is a boy and the second child is a boy and GB denotes that the first child is a girl and second child is a boy.Construct a tree diagram of this experience

Answer as required.

1. Let A = {1, 2, 3, 4, 5} and B = {0, 3, 6}. Find  (a) A U B  (b) A – B

2. Let A = {a, b, c, d, e} and B = {a, b, c, d, e, f, g, h}. Find   (a) A ∩ B     (b) B – A

3. Let C = {1, a , 2, c}. Find  (a) Cardinality of C   (b)  P(C)

4. Consider sets in #s 2 and 3, show that     

 (a) A U (B ∩ C) = (A U B) ∩ (A U C)  (b) (A U B)c = Ac ∩ Bc.

5. Suppose that the universal set is U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Express each of these sets with bit strings where the ith bit in the string is 1 if i is in the set and 0 otherwise.  

 (a) {3,4,5}

 (b) {2, 3, 4, 7, 8, 9}

A GROUP OF STUDENT GOT THE FOLLOWING SCORES IN A TEST 6, 9, 12, 15, 18, AND 21. CONSIDER SAMPLE SIZE 3 THAT CAN BE DRAWN FROM THIS POPULATION.

The tallest living man at one time had a height of 231 cm. The shortest living man at that time had a height of 142.1 cm. Heights of men at that time had a mean of 172.16 cm and a standard deviation of 5.22 cm. Which of these two men had the height that was more​ extreme?