In a throw of 2 fair dice, there are 6*6=36 equiprobability outcomes.
To get a sum of 5, there are 4 ways, (1,4),(2,3),(3,2),(4,1) with probability of 4/36=1/9
To get at least one 5, there are 6+6-1=11 outcomes (note (5,5) has been counted in both, so subtracted from sum). The probability is 11/36
Since the two events are mutually exclusive (once we have a five, the sum can no longer be 5), we can add the probabilities to get the probability of one event or the other.
P(sum of 5 OR at least one 5)=1/9+11/36=4/36+11/36=15/36=5/9
Answer:
Step-by-step explanation:
Mrs. Siebenaller bought a bus for 25,000 with a 7% interest rate and she gets a loan payoff of 60 months,
We know that,
![\text{PV of annuity}=P\left[\dfrac{1-(1+r)^{-n}}{r}\right]](https://tex.z-dn.net/?f=%5Ctext%7BPV%20of%20annuity%7D%3DP%5Cleft%5B%5Cdfrac%7B1-%281%2Br%29%5E%7B-n%7D%7D%7Br%7D%5Cright%5D)
Where,
PV = Present value of annuity = 25000,
r = rate of interest of each period = 
% monthly
n = number of periods = 60 months,
Putting the values,
![\Rightarrow 25000=P\left[\dfrac{1-(1+\frac{0.07}{12})^{-60}}{\frac{0.07}{12}}\right]](https://tex.z-dn.net/?f=%5CRightarrow%2025000%3DP%5Cleft%5B%5Cdfrac%7B1-%281%2B%5Cfrac%7B0.07%7D%7B12%7D%29%5E%7B-60%7D%7D%7B%5Cfrac%7B0.07%7D%7B12%7D%7D%5Cright%5D)
![\Rightarrow P=\dfrac{25000}{\left[\dfrac{1-(1+\frac{0.07}{12})^{-60}}{\frac{0.07}{12}}\right]}](https://tex.z-dn.net/?f=%5CRightarrow%20P%3D%5Cdfrac%7B25000%7D%7B%5Cleft%5B%5Cdfrac%7B1-%281%2B%5Cfrac%7B0.07%7D%7B12%7D%29%5E%7B-60%7D%7D%7B%5Cfrac%7B0.07%7D%7B12%7D%7D%5Cright%5D%7D)
Hence total amount paid is,
Therefore interest amount is,
Answer:
c
Step-by-step explanation:
A quadratic trinomial has the form of ax² + bx + c
e.g. 3x² + 4x + 2
A quadratic binomial has the form of ax² + bx
e.g. 3x² + 4x
A cubic binomial has the form : ax³ + bx
3x³ + 4x
Hello :
f(x) = √(x-3)
answer: B x-3 <span>≥ 0</span>
Answer:
2/7
Step-by-step explanation:
this is because you can simply do the butterfly method and multiply 4 times 2 which is 8 for 2/7 and 7 times 1 for 1/4 which is 7 so 2/7 is greater than 1/4
