Answer:1/4
Step-by-step explanation:
Answer:
The z- score for a value of 3.99 will be 3.38.
Step-by-step explanation:
It is given that the mean of a set of data is -3.82 and its standard deviation is 2.31.
Thus, the value of the z-score=
=
=
=
=
Thus, the z- score for a value of 3.99 will be 3.38.
Answer:
The lines are perpendicular
Step-by-step explanation:
we have

isolate the variable y
----> equation A
The slope of the line A is 
-----> equation B
The slope of the line B is 
Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
In this problem
The slopes of line A and line B are opposite reciprocal
therefore
The lines are perpendicular
Answer:
Choice C)
x^2 - 2x + 4 - 12/(x+2)

====================================================
Explanation:
To see how I got that answer, I have provided two attached images below. One of them shows the polynomial long division. The other shows synthetic division. Both are valid options to get to the same answer.
For each method, I used 1x^3 + 0x^2 + 0x - 4 in place of x^3 - 4 so that the proper terms could align.
Answer:
19,600 Nm
Step-by-step explanation:
WD = mgh
= 40 × 9.8 × 50
= 19600 Nm