Answer:
1/5
Step-by-step explanation:
We assume the events are independent, so the probability of the joint event is the product of the probabilities of the individual events.
P(Y or W) = 2 letters of 5 = 2/5
P(easy) = 1 of 2 kinds = 1/2
The product of these is ...
P((Y or W) and (easy)) = (2/5)(1/2) = 1/5
_____
In both cases, we have to assume that each of the possible outcomes is equally likely.
Answer: Its factored form will be
![6n(n-1)(n^2-3n-3)](https://tex.z-dn.net/?f=6n%28n-1%29%28n%5E2-3n-3%29)
Step-by-step explanation:
Since we have given that
![6n^4-24n^3+18n](https://tex.z-dn.net/?f=6n%5E4-24n%5E3%2B18n)
So, we need to factor ,
![6n(n^3-4n^2+3)](https://tex.z-dn.net/?f=6n%28n%5E3-4n%5E2%2B3%29)
Now,
![\text{Let }p(n)=n^3-4n^2+3](https://tex.z-dn.net/?f=%5Ctext%7BLet%20%7Dp%28n%29%3Dn%5E3-4n%5E2%2B3)
Now, by hit and trial method, we put n=1,
![p(1)=1^3-4\times1^2+3=1-4+3=1-1=0](https://tex.z-dn.net/?f=p%281%29%3D1%5E3-4%5Ctimes1%5E2%2B3%3D1-4%2B3%3D1-1%3D0)
![n=1\\n-1=0](https://tex.z-dn.net/?f=n%3D1%5C%5Cn-1%3D0)
So, n-1 is also factor of p(n).
Now,
![\frac{n^3-4n^2+3}{n-1}=n^2-3n-3](https://tex.z-dn.net/?f=%5Cfrac%7Bn%5E3-4n%5E2%2B3%7D%7Bn-1%7D%3Dn%5E2-3n-3)
So, its factored form will be
![6n(n-1)(n^2-3n-3)](https://tex.z-dn.net/?f=6n%28n-1%29%28n%5E2-3n-3%29)
Answer:
We can compute this in 2 ways:
305 downwind - 260 still air = 45 mph wind velocity
260 still air - 215 downwind = 45 mph wind velocity
Step-by-step explanation:
Answer:
36in²
Step-by-step explanation:
<h3>Area of the White Region: </h3>
A = l * w
The rectangle is 3 by 2.
A = 3 * 2
A = 6
The white part of the rectangle is 6in².
<h3>Area of the blue region:</h3>
A = l * w
The rectangle is 6 by 7.
A = 6*7
A = 42
The blue part of the rectangle is 42in².
<h3>Area of the shaded region:</h3>
[area of the blue part] - [area of the white part]
42 - 6 = 36
The area of the shaded region should be 36in².
Answer:
A
Step-by-step explanation:
vertex is (-3,-4)
so inside the absolute value bars need to be postive 3 and the four has to be -4.