Math Answers

ABCD is a quadrilateral. E is a point in ABCD.
Prove that,
(AEB) (DEC) - (AED) (BEC) = (AEC) (BED)
or,
(AEB) (DEC) - (AED) (BEC) = -(AEC) (BED)


Question is right...

An optimization model includes a chance constraint to satisfy demand of a particular product. The demand is uncertain and is modeled with an integer uniform distribution with parameter value of 0 and 4. That is, the probability that the demand is 0, 1, 2, 3, or 4 is exactly the same. A decision is made to order 2 units of the product from a supplier in order to satisfy the uncertain demand. What is the value at risk (VaR) for the demand constraint?

1. Use Pascal’s Triangle to expand each expressions: (x-2y)^4

1. Alex started training for a 21-km run a month prior to a marathon. In order to build stamina, he decided to gradually increase the distance he runs each training day. On the first day, Alex ran a total of 3 km. On the second and third days, she ran 5 and 7 km respectively. For the succeeding five training days, he ran 9, 11, 13, 15, and 17 km. If he trained for a total of 15 days, determine the total distance he ran.

1. Four students were given an algebra exam and it took the first two 23 minutes while the next two 25 minutes to finish the exam. If a 5th student took the same exam and the computed mean speed of all five students is 22 minutes, how fast did the last student finish the exam?

Given 2x^5+x^2-5/t^2 find day/dx

A street light is at the top of a 12 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a straight path. How fast is the tip of her shadow moving along the ground when she is 50 ft from the base of the pole?

A dart hits the square dartboard shown below at a random point. Find the probability that the dart lands in the shaded circular region. Each side of the dartboard is
12in
, and the radius of the shaded region is
5in
.