we know that
<u>1) If the line segment AB is parallel to the line segment DC</u>
then
m∠1=m∠D -------> by corresponding angles
<u>2) If the line segment AD is parallel to the line segment BC</u>
then
m∠3=m∠B -------> by corresponding angles
Answer:
93.25% probability that they have taken this steroid
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Positive test
Event B: Taking the steroid.
Suppose the probability of an athlete taking a certain illegal steroid is 10%.
This means that 
Given that the athlete has taken this steroid, the probability of a positive test result is 0.995.
This means that 
Positive test:
99.5% of 10%(If the athlete has taken).
100-99.2 = 0.8% of 100-10 = 90%(Athlete has not taken)
Then
Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid
93.25% probability that they have taken this steroid
Answer:
Step-by-step explanation:
Please, share the answer options next time.
1) f(x) = 2x^2– x – 6 is a quadratic function.
2) The coefficients of this polynomial are a = 2, b = -1 and c = -6
2) Its graph opens up.
3) The x-value of the axis of symmetry and the vertex is x = -b / (2a), which here comes out to x = -(-1) / [2(2)], or x = 1/4
4) the y coordinate of the vertex is f(1/4), or -6 1/8
5) The vertex is at (1/4, -6 1/8)
6) The y-intercept is at f(0): 2(0)^2 - 0 - 6 = -6 => (0, -6)
Answer:
Hybrid basis
Step-by-step explanation:
There are different methods of accounting used by businesses depending on their peculiar needs. Below are the type of accounting methods:
- Cash basis is when revenues and expenses are recognised when cash is recieved or paid out.
-Accrual basis is when revenue and expenses are recognised when they are earned. For example if services are rendered to a client that will pay in a week's time, since service has already been given it is considered that the future payment has been earned.
- Modified basis combines elements of cash and accrual basis. For example considering short term assets like accounts receivable and accounts payable as cash items. Long term assets are recorded on accrual basis.
- Hybrid basis is used when cash and accrual methods are used for various expenses and tax. Mostly it is used for internal accounting purposes.
In this scenario Hariette would like to review the income and expenses that were actually paid last month. This requires a cash basis that shows actual amount recieved and paid last month. Account receivable and payable are not considered.
In setting aside money for tax she will employ accrual basis accounting. It is an expense that is estimated for future use.
So the hybrid basis is the method that will be most suitable.
Answer:
8
Step-by-step explanation:
Since the forklift has a maximum capacity of three boxes per trip, simply divide the total number of boxes (23 boxes) by three and round up to the nearest whole unit to find the number of trips required:
Casey had to visit the dock 8 times. He moved three boxes in seven trips and two boxes in one trip.
