9514 1404 393
Answer:
A
Step-by-step explanation:
The second equation differs from the first in that -9 is a term added to both sides of the equation. The addition property of equality tells you that doing this will not change the value of the variable.
_____
The reason (not justification) for doing this is that the sum of 9 and its additive inverse is 0, the additive identity element. This means the equation can be simplified to 3x = 12, which is the point of making that step (subtracting 9).
Answer:
a
The 95% confidence interval is 
b
The sample proportion is 
c
The critical value is 
d
The standard error is 
Step-by-step explanation:
From the question we are told that
The sample size is n = 200
The number of defective is k = 18
The null hypothesis is 
The alternative hypothesis is 
Generally the sample proportion is mathematically evaluated as
Given that the confidence level is 95% then the level of significance is mathematically evaluated as
Next we obtain the critical value of 
from the normal distribution table, the value is
Generally the standard of error is mathematically represented as
substituting values
The margin of error is
=> 
=> 
The 95% confidence interval is mathematically represented as
=> 
=>
Answer:
option C
Step-by-step explanation:
I hope now it's helped
In this item, we are going to use the concepts of total mass balance and component mass balance. We let the amount of the pure acid be equal to x.
Total mass balance:
7 + x = 7 + x
Hence, the total amount of the resulting solution is 7 + x
Component mass balance,
(1)(x) + (0.4)(7) = (0.7)(7 + x)
The value of x from the component mass balance is equal to 7.
<em>Answer: 7 gallons</em>
Answer: RA, EJ, JT
Explanation:
When dealing with 3 dimensional figures, you must handle three concepts to analyze the spatial relationship of the lines. Those are:
- Perpendicular lines: it refers to lines that intersect each other at a 90° angle (right angle). This only can happen if the lines.
- Skew lines: it refers to lines that are not parallel but are in different planes and cannot not intersect each other.
- Parallel lines: are lines that are in the same plane but cannot intersect each other.
The given figure is a perfect model to understand what each one of those concepts mean.
Starting by the segment JA, you find that:
- The segments EH, QP, and TR are parallel to segment JA, because you can find a plane formed by JA and any of those segments, and yet JA will never intersect any of them.
- Segment JA is skewed respect segments QT, PR, QE, and PH, because they are in different planes.
- Segment JA is perpendicular to EJ, HA, JT and RA, because JAintersects any of them on a right angle.
Hence, the right choices are segments RA, EJ and JT
