The equation of the exponential model is f(x) = 3 * 0.2^x
<h3>How to determine the exponential model?</h3>
The table of data is given as:
x(-2,-1,0,1,2)
f(x)(71,13,3,0.6,0.1)
An exponential model is represented as:
f(x) = ab^x
When x= 0 and f(x) = 3;
We have:
ab^0 = 3
This gives
a = 3
When x= 1 and f(x) = 0.6
We have:
ab^1 = 0.6
This gives
ab = 0.6
Substitute 3 for a
3b = 0.6
Divide both sides by 3
b = 0.2
Substitute b = 0.2 and a =3 in f(x) = ab^x
f(x) = 3 * 0.2^x
Hence, the equation of the exponential model is f(x) = 3 * 0.2^x
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There are 5 offices with fewer than 5 desks.
You can see this by simply counting how many points are to the left of the 5 on the X (desks) axis
Answer:
Now we can claculate the p value since is a right tailed test would be:
For this case since the p value is lower than the significance level provided
we have enough evidence to reject the null hypothesis and we can conclude that hotel chains customers are more satisfied with their service
Step-by-step explanation:
Information given
n=115 represent the random sample selected
X=108 represent the number of people who were satisfied with their service
estimated proportion of people who were satisfied with their service
is the value that we want to test
represent the significance level
z would represent the statistic
represent the p value
System of hypothesis
We want to verify if hotel chains customers are more satisfied with their service.:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is given by:
(1)
Replacing the info given we got:
Now we can claculate the p value since is a right tailed test would be:
For this case since the p value is lower than the significance level provided
we have enough evidence to reject the null hypothesis and we can conclude that hotel chains customers are more satisfied with their service
Answer: no solutions
Step-by-step explanation:
There is no solutions because
the lines don't cross each other
Hope this helps :)
Domain:
We know that
domain is all possible values of x at which y is defined
so, all given x-values in this table is domain
so, domain is {-2, -1, 0, 1, 2, 3}...........Answer
Range:
We know that
range is all possible values of y at which x is defined
so, all given y-values in this table is range
so, range is {-3, -1, 1, 3,5, 7}...........Answer