Answer:
225
Step-by-step explanation:
Using the basic components of summation ∑
∑n = n(n + 1) and ∑1 = n
Thus
∑ (2n - 1) ← for n = 1 to 15
= ∑2n - ∑1
= 2∑n - ∑1
= 2 ( n(n + 1)) - n
= n(n + 1) - n ← Evaluate for n = 15 ( the upper value )
= 15 × 16 - 15
= 240 - 15
= 225
We have been given the function
Now, we can see that in the transformed function , we have added 3 in the x.
Whenever we add/subtract some constant in the x, then the function gets translated to either left or right.
We know that if f(x) is a parent function and if we add a constant c then the function gets shift to c unit left.
Therefore, the given graph will get shifted 3 units left.
D is the correct option.
Translate each point of the graph of h(x) 3 units left.
Answer:
BC = 20
Step-by-step explanation:
AC = AB + BC
28 = x-10 + x+2
Combine like terms
28 = 2x -8
Add 8 to each side
28+8 = 2x-8+8
36 = 2x
Divide by 2
36/2 = 2x/2
18 =x
We want to find BC
BC = x+2
=18+2
=20
Answer:
214.5 seconds or less time will qualify individuals for such training
Step-by-step explanation:
given that the time that it takes a randomly selected job applicant to perform a certain task has a distribution that can be approximated by a normal distribution with a mean value of 150 sec and a standard deviation of 25 sec.
i.e. X the time that it takes a randomly selected job applicant to perform a certain task is N(150,25)
The fastest 10% are the ones who are above the 90th percentile
We know 90th percentile for Z std normal score is 1.28
Corresponding X score would be
Round off to one decimal
214.5 seconds or less time will qualify individuals for such training