Answer:
A. 1/2.
B. 15/26.
Step-by-step explanation:
Note when you have an 'OR' in the statement we <u>add </u>the probabilities.
A . Club or a diamond . There are 13 clubs and 13 diamonds so
The Required Probability = 13/52 + 13/52
= 1/4 + 1/4 = 1/2.
B. There are 4 jacks and 26 black cards.
The Required Probability = 4/52 + 26/52
= 1/13 + 1/2
= 2/26 + 13/26
= 15/26.
Answer:
Performance obligation:
Revenue is recognized by a company if the contractual obligations are satisfied by transferring the goods and services to a customer. A performance obligation must be identified and separated.
The purchase of vacuum cleaner contract gives raise to only one implied performance obligation. The warranty given is not a performance obligation but a quality assurance. And the warranty cost does not satisfy the contractual obligation of sale.
The one-year warranty is given only on the purchase of the vacuum cleaner. This warranty cannot be sold separately.
Therefore. V should recognize this cost as a warranty expense in the period of sale.
The extended warranty for a period of three years is sold separately. This is a separate performance obligation since the warranty for quality assurance is extended beyond the original period of one year.
This warranty can be purchased by customers separately which is priced separately from the product. This extended period warranty is not included in the implied contract.
Therefore, there exists only one performance obligation in the contract.
The points where the 2 graphs intersect is where x = 0 and x = 2.
- 2 2
x = INT x dA / INT dA
0 0
INT dA = INT -x^2 + 4x + 3 - (x^2 + 3 ) dx = INT -2x^2 + 4x
= -2 x^3/3 + 2x^2
= 2.667 between 0 and 2
xdA = -2x^3 + 4x^2 INT xdA = -x^4/2 + 4x^3/3 = 2.667
centroid = 2.667 / 2.667 = 1 (x = 1)
9514 1404 393
Answer:
∠A = 44°
Step-by-step explanation:
In order to find the measure of angle A, you need to know the value of the variable x. This means you need some relation that you can solve to find x.
Happily, that relation is "the sum of angles in a triangle is 180°." This means ...
84° +(x +59)° +(x +51)° = 180°
(2x + 194)° = 180° . . . collect terms
2x = -14 . . . . . . . . . . divide by °, and subtract 194
x = -7 . . . . . . . . . . . .divide by 2
Now, the measure of angle A is ...
∠A = (x +51)° = (-7 +51)°
∠A = 44°
