Since "PROBABILITY" has 11 letters in it, then every letter has 1/11 chances of getting picked, so the chances of getting an O tile would be 1/11, same for getting a B tile. But if you were to get both of them consecutively, then the chances would be 1/11 of 1/11 because you have 1/11 of a chance to get and O and then 1/11 of a chance to get a B. So you would be looking for 1/11 of 1/11, which means multiplying the divisor, 11*11=121. Therefore, you should have 1/121 chance of getting an O and B tile.
Alright, lets get started.
The given function is :
![f(x) = x + 4x^{2} - 36](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%20x%20%2B%204x%5E%7B2%7D%20%20-%2036%20)
When we find the domain of any function, we consider the domian is set of input values for which function should remain real and defined.
In this given function , we have not given any points where function seems going undefined.
Hence the domain is : (-∞, +∞) : Answer
Hope it will help :)
The relation t relates x to y. To determine if it is a function, see if one x value can give two different y values. Since each x value only has one y value, the relation is a function. To check if the inverse is a function, see if any one y value will give multiple x values. By inversing t, there are two values of x for the value of y = -4 (x = 4 and x = 6), so this is NOT a function.
Answer: Relation t is a function. The inverse of relation t is NOT a function.
Answer:
The APR at which the money is borrowed, is approximately 651.79%
Step-by-step explanation:
The amount which one wishes to borrow for two weeks, P = $600
The amount of interest that one must pay back = $25 per $100 borrowed
Therefore;
The total interest on the $600 loan (borrowed) for two weeks = 25/100× $600 = $150
The number of days for which the amount was borrowed = 2 weeks = 14 days
The Annual Percentage Rate, APR is given as follows;
![APR = \left (\dfrac{\left (\dfrac{Interest \ Paid \ for \ the \ Loan \ duration}{The \ amount \ borrowed} \right )}{The \ number \ of \ days \ the \ amount \ was \ borrowed } \right ) \times 365 \times 100](https://tex.z-dn.net/?f=APR%20%3D%20%5Cleft%20%28%5Cdfrac%7B%5Cleft%20%28%5Cdfrac%7BInterest%20%5C%20Paid%20%5C%20for%20%5C%20the%20%20%5C%20Loan%20%5C%20duration%7D%7BThe%20%5C%20amount%20%5C%20borrowed%7D%20%5Cright%20%29%7D%7BThe%20%5C%20number%20%5C%20of%20%5C%20days%20%5C%20the%20%5C%20amount%20%5C%20was%20%20%5C%20borrowed%20%7D%20%5Cright%20%29%20%5Ctimes%20365%20%5Ctimes%20100)
Therefore, we get
![APR = \left (\dfrac{\left (\dfrac{150}{600} \right )}{14 } \right ) \times 365 \times 100 \approx 651.79 \%](https://tex.z-dn.net/?f=APR%20%3D%20%5Cleft%20%28%5Cdfrac%7B%5Cleft%20%28%5Cdfrac%7B150%7D%7B600%7D%20%5Cright%20%29%7D%7B14%20%7D%20%5Cright%20%29%20%5Ctimes%20365%20%5Ctimes%20100%20%20%5Capprox%20651.79%20%5C%25)
The annual rate at which the money is borrowed, APR ≈ 651.79%.