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2 answers:
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Consider the missing part of the question is "Select the correct statement.
A. The number of employees is increasing by 50% every year.
B. The number of employees is decreasing by 10% every year.
C. The number of employees is decreasing by 90% every year.
D. The number of employees is increasing by 90% every year."
Given:
The function is:
Where, f(t) is the number of employees working at a company, in thousands and t is the number of years since the company revised the benefits package.
To find:
The correct statement from the given options.
Solution:
The general exponential decay model is:
...(i)
Where, a is the initial value, r is the rate of decay and t is the number of years.
We have,
It can be written as
...(ii)
From (i) and (ii), we get
The initial value is 1.5 and the rate of decay is 0.10 or 10%. It means the number of employees is decreasing by 10% every year.
Therefore, the correct option is B.
Answer:
(a) Probability that a randomly selected student is taking Spanish given that he or she is taking French = 0.5 .
(b) Probability that a randomly selected student is not taking French given that he or she is not taking Spanish = 0.6 .
Step-by-step explanation:
We are given that an elementary school is offering 2 language classes ;
<em>Spanish Language is denoted by S and French language is denoted by F.</em>
Also we are given, P(S) = 0.5 {Probability of students taking Spanish language}
P(F) = 0.4 {Probability of students taking French language}
= 0.7 {Probability of students taking Spanish or French Language}
<em>We know that, </em><em> = </em>
<em> </em>
<em />
So, =
= 0.5 + 0.4 - 0.7 = 0.2
means Probability of students taking both Spanish and French Language.
Also, P(S)' = 1 - P(S) = 1 - 0.5 = 0.5
P(F)' = 1 - P(F) = 1 - 0.4 = 0.6
= 1 -
= 1 - 0.7 = 0.3
(a) Probability that a randomly selected student is taking Spanish given that he or she is taking French is given by P(S/F);
P(S/F) = =
= 0.5
(b) Probability that a randomly selected student is not taking French given that he or she is not taking Spanish is given by P(F'/S');
P(F'/S') = =
=
= 0.6 .
Note: 2. A pair of fair dice is rolled until a sum of either 5 or 7 appears ; This question is incomplete please provide with complete detail.