Considering that each input is related to only one output, the correct option regarding whether the relation is a function is:
A. yes.
<h3>When does a relation represent a function?</h3>
A relation represents a function when each value of the input is mapped to only one value of the output.
For this problem, we have that:
- The output is an activity.
There are no repeated inputs, hence the relation is a function and option A is correct.
More can be learned about relations and functions at brainly.com/question/12463448
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the general expression of the growth function is :
![\begin{gathered} y=b(a)^x\text{ where b is the intial value, a is the growth rate} \\ \text{ and if x = +ve then the function is of growth} \\ \text{and if -ve then the fucntion is decaying} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y%3Db%28a%29%5Ex%5Ctext%7B%20where%20b%20is%20the%20intial%20value%2C%20a%20is%20the%20growth%20rate%7D%20%5C%5C%20%5Ctext%7B%20and%20if%20x%20%3D%20%2Bve%20then%20the%20function%20is%20of%20growth%7D%20%5C%5C%20%5Ctext%7Band%20if%20-ve%20then%20the%20fucntion%20is%20decaying%7D%20%5Cend%7Bgathered%7D)
The given expression :
![f(x)=2(0.94)^x](https://tex.z-dn.net/?f=f%28x%29%3D2%280.94%29%5Ex)
On comparing with the general equation :
b = 2
a = 0.94
Intial value = 2
As the variable x is positive so the functioni is Growth function
Growth factor is the factor by which a quantity multiplies itself over time.
So, here growth factor = 0.94 0r 94%
Growth rate is the addend by which a quantity increases (or decreases) over time.
so,
![\begin{gathered} f(x)=2(0.95)^x \\ f(x)\text{ for one year x = 1} \\ f(x)=2(0.95)^1 \\ f(x)=1.88 \\ \text{Growth rate= 1.88 + 2} \\ \text{Growth rate = 3.88} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%28x%29%3D2%280.95%29%5Ex%20%5C%5C%20f%28x%29%5Ctext%7B%20for%20one%20year%20x%20%3D%201%7D%20%5C%5C%20f%28x%29%3D2%280.95%29%5E1%20%5C%5C%20f%28x%29%3D1.88%20%5C%5C%20%5Ctext%7BGrowth%20rate%3D%201.88%20%2B%202%7D%20%5C%5C%20%5Ctext%7BGrowth%20rate%20%3D%203.88%7D%20%5Cend%7Bgathered%7D)
Answer :
13 ) Growth
14) 2
15) 0.94
16) 3.88
Answer:
( a ) Probability that the test comes back negative for all four people = .9723
( b ) Probability that t he test comes back positive for at least one of the four people = .0277
Step-by-step explanation:
Given
The probability of the test will accurately come back negative if the antibody is not present = 99.1
= .991
The probability of the test will accurately come back positive if the antibody is not present = .009
Suppose the test is given to four randomly selected people who do not have the antibody .
( a ) Probability that the test comes back negative for all four people =
=
= .9723
If we say E = P( all 4 test are negative) or we say E = P( not of the all 4 test are positive)
P( at least one of the 4 test are positive) = 1 - P( not of the all 4 test are positive) = 1 - P( all 4 test are negative)
( b ) Probability that t he test comes back positive for at least one of the four people = 1 - P( all 4 test are negative)
= 1 - .9723
= .0277