Answer:
(D) 
Step-by-step explanation:
Two variables x and y are proportionally related if they can be written in the form y=kx, where k is the constant of proportionality.
From the given options, if 
(B)
is of the form y=kx
(C)
is of the form y=kx with as 
in its lowest form.
(C)
is of the form y=kx with as 
in fractional form.
On the Contrary,
In Option D, does not represent a proportional relationship between x and y. The constant of proportion is supposed to be a product of x.
54:84___(÷2)
27:42___(÷3)
9:14
Answer:
Therefore, we conclude that the statement in (A) is incorrect.
Step-by-step explanation:
We have the following sentences:
A) If the probability of an event occurring is 1.5, then it is certain that event will occur.
B) If the probability of an event occurring is 0, then it is impossible for that event to occur.
We know that the range of probability of an event occurring is in the segment [0, 1]. In statement under (A), we have the probability that is equal to 1.5.
Therefore, we conclude that the statement in (A) is incorrect.
Answer:
(b) 1.95
Step-by-step explanation:
One of the easiest ways to evaluate an arithmetic expression of almost any kind is to type it into an on-line calculator. Many times, typing it into a search box is equivalent.
<h3>Application</h3>
See the attachment for the search box input (at top) and the result. This calculator has the benefit that it <em>always follows the Order of Operations</em> when evaluating an expression. (Not all calculators do.)
ln(7) ≈ 1.95
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<em>Additional comment</em>
If your math course is asking you to evaluate such expressions, you have probably been provided a calculator to use, or given the requirements for a calculator suitable for use in the course.
There are some very nice calculator apps for phone and tablet. Many phones and tablets already come with built-in calculator apps. For the purpose here, you need a "scientific" or "graphing" calculator. A 4-function calculator will not do.
As with any tool, it is always a good idea to read the manual for your calculator and work through any example problems.
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Years ago, handheld calculators were not available, and most desktop calculators were only capable of the basic four arithmetic functions. Finding a logarithm required use of a table of logarithms. Such tables were published in mathematical handbooks, and extracts of those often appeared as appendices in math textbooks used in school.
