1. x=4, y=0
3. x=2.6666, y=0.3333
The condition for the expected value in the goodness of fit test is that the expected frequency is at least 5.
According to the statement
we have to find the condition of the expected values in the case of testing of goodness-of-fit test.
So, For this purpose we know that the
The goodness of fit test is of a statistical model describes how well it fits a set of observations. Measures of goodness of fit typically summarize the discrepancy between observed values and the values expected.
So, The main condition of the expected value for the goodness of fit test is
For each category, the expected frequency is at least 5.
Without this condition the test is not possible, so overall this the main condition related the goodness of fit test.
So, The condition for the expected value in the goodness of fit test is that the expected frequency is at least 5.
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Answer:
Domain and Range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively
Step-by-step explanation:
We have the functions, f(x) = eˣ and g(x) = x+6
So, their composition will be g(f(x)).
Then, g(f(x)) = g(eˣ) = eˣ+6
Thus, g(f(x)) = eˣ+6.
Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.
Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.
Hence, the domain and range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.
Answer:
A.The expression represents the price paid
B.
; everything means the same thing as the first.
Step-by-step explanation:
For a. we can tell what the expression means by re-reading the problem. We know that the 15 is the price per goby fish and that 10 is the price per shrimp. Since there is an equal number of each in each bag the x represent the number of goby fish or shrimp in the bag. The answer to the equation will be the price paid. Another expression you could use is the following.

This is an unfactored version of the first on where x is factored out. Here everything means the same thing it's just a different expression.
Answer:
The function is 
domain is 0 to 0.2 hour.
range is 0 to 2 miles.
Step-by-step explanation:
Given that,
Average velocity = 10 miles/hour
Time = 12 min = 0.2 hour
We need to write a function that models the student's distance from home
Using formula of distance

Where, v = velocity
t = time
d = distance
Put the value into the formula

This is a function.
We know that,
Domain :
Domain shows the time.
So, domain = 0 to 0.2 hour
Range :
Range shows the distance.
The range at t =0,
Put the value of t in the function

The range at t =0.2 hour


So. range = 0 to 2 miles
Hence, The function is 
domain is 0 to 0.2 hour
range is 0 to 2 miles