Consider the triangles.
2 answers:
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Answer: Option B
Step-by-step explanation:
By definition, only those functions that are one to one have an inverse function.
A function is one by one if there are not two different input values, and
, that have the same output value y
Note that the function is not a one-to-one function
When x=2
When x=8
Note that the function is not a one-to-one function
When x=1
When x=-1
Note that the function is not a one-to-one function
When x=1
When x=-1
Then the answer is the option B.
You can verify that The function is a one-to-one function and therefore its inverse is a function
Answer:
P-value is lesser in the case when n = 500.
Step-by-step explanation:
The formula for z-test statistic can be written as
here, μ = mean
σ= standard deviation, n= sample size, x= variable.
From the relation we can clearly observe that n is directly proportional to test statistic. Thus, as the value of n increases the corresponding test statistic value also increases.
We can also observe that as the test statistic's numerical value increases it is more likely to go into rejection region or in other words its P-value decreases.
Now, for first case when our n is 50 we will have a relatively low chance of accurately representing the population compared to the case when n= 500. Therefore, the P-value will be lesser in the case when n = 500.