You cant how many digits there are behind the decimal, 3, then ask your self which number has 3 zeroes, 1000, so after that you write 888 over 1000, simple. Hope it helped!!
Answer:
the probability that the x-coordinate of the point is negative and the y-coordinate of the point is positive is 16.36%
Step-by-step explanation:
Assuming that each point has the same probability to be chosen ( uniform probability distribution in the rectangle area ) then the probability of choosing a negative x-coordinate and positive y-coordinate is the ratio of the area with those requirements over the total area of the rectangle.
therefore
Ar= area of negative x-values and positive y-values = (-3)*6 = 18
AT= total area of the rectangle = [8-(-3) ]*[6-(-4)] = 110
then
probability = Ar/AT = 18/110 = 0.1636 = 16.36%
Answer:
It would be 
Step-by-step explanation:
is equivalent to 
or .
Given:
The sum of the first three terms of a sequence Is 42.
The fourth term is 24.
To find:
The u₁ and the common difference
Step-by-step explanation:
nth term of a sequence is
where, u₁ is first term and d is common difference.
4th term is 24.
...(i)
Sum of nth term of an AP is
![S_n=\dfrac{n}{2}[2u_1+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7Bn%7D%7B2%7D%5B2u_1%2B%28n-1%29d%5D)
Sum of first three terms is 42.
![S_3=\dfrac{3}{2}[2u_1+(3-1)d]](https://tex.z-dn.net/?f=S_3%3D%5Cdfrac%7B3%7D%7B2%7D%5B2u_1%2B%283-1%29d%5D)
![42=\dfrac{3}{2}[2u_1+2d]](https://tex.z-dn.net/?f=42%3D%5Cdfrac%7B3%7D%7B2%7D%5B2u_1%2B2d%5D)
Divide both sides by 3.
...(ii)
On subtract (ii) from (i), we get
Put d=5 in equation (ii).
Therefore, the first term is 
and common difference is 
.
