Answer:ln is called the natural log, or log to the base e. ln can also be written as
So, we can write the given expression as
The property of logs is:
This mean if the number a is raised to log whose base is the same as the number a itself, then the answer will be equal to the argument of the log which is x.
In the given case, the number e and the base of log are the same. So the answer of the expression will be the argument of log which is 6.
so, we can write
Thus, the correct answer is option D
Step-by-step explanation:
G(x) is a translation of f(x) 5 units up
Giving us g(x)=f(x)+5
So k=5
Answer:
C) y = 60x
Step-by-step explanation:
Answer:
2z^3 - 5z^2 + 4z - 1
Step-by-step explanation:
(2z - 1)(z^2 – 2z+ 1) =
= 2z^3 - 4z^2 + 2z - z^2 + 2z - 1
= 2z^3 - 5z^2 + 4z - 1
Answer:
The percent of students who scored below 62 is 2.3%.
Step-by-step explanation:
In statistics, the 68–95–99.7 rule, also recognized as the empirical rule, is used to represent that 68.27%, 95.45% and 99.73% of the values of a Normally distributed data lie within one, two and three standard deviations of the mean, respectively.
Then,
- P (-1 < Z < 1) ≈ 0.6827
- P (-2 < Z < 2) ≈ 0.9545
- P (3 < Z < 3) ≈ 0.9973
Given:
μ = 78
σ = 8
<em>X</em> = 62
Compute the distance between the value of <em>X</em> and <em>μ</em> as follows:

Use the relation P (-2 < Z < 2) ≈ 0.9545 to compute the value of P (Z < -2) as follows:

The percentage is, 0.02275 × 100 = 2.275% ≈ 2.3%
Thus, the percent of students who scored below 62 is 2.3%.