If a fish experiences an acceleration of 9.8 m/s^2 over a period of 1.4s (It must be falling), then what is its change in veloci
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Answer:
No. There is not enough evidence to support the claim that the population standard deviation is different from $12.
Step-by-step explanation:
The null hypothesis is that the true standard deviation is 12.
The alternative hypothesis is that the true standard deviation differs from 12.
We can state:
The significance level is 0.10.
The sample size is n=15, so the degrees of freedom are:
The sample standard deviation is 9.25.
The test statistic is
The critical values for rejecting the null hypothesis are:
As T=8.32 is within the acceptance region (5.01, 24.74), the null hypothesis failed to be rejected.
There is not enough evidence to support the claim that the population standard deviation is different from $12.
we know that
The domain of the function are the values of x for which the function exists and the range of the function are the values of the function
in this problem
The domain of the function are the values
The range of the function are the values
therefore
<u>the answer is the option B</u>
Answer:
a
b
If <u>all prime numbers are odd,</u> then <u>2 is odd</u>.
2 is not odd.
Therefore, it is not the case that all prime numbers are odd.
Step-by-step explanation:
Considering part A
The first sentence is
If all computer programs contain errors, then this program contains an error.
The second sentence is
This program does not contain an error.
The third sentence is
Therefore, it is not the case that all computer programs contain errors.
Now we will use a and b as the letter to denote the component sentences and and
when the component sentences is not the case
So a = If all computer programs contain errors
and
b = this program contains an error.
Generally then is represented as
Hence the first sentence is denoted as
The second sentence is represented as
The third sentence is represented as
So part a can be represented as
Considering part B
Here the objective is to fill in the blank spaces so that the logic of the sentence in part b is as that in part a
Now comparing the second statement a and b
"This program does not contain an error" = "2 is not odd" =
Hence "this program contains an error." = "2 is odd" = b
Now comparing the third statement a and b
Therefore, it is not the case that all computer programs contain errors.
=
Therefore, it is not the case that all prime numbers are odd
=
Hence
If all computer programs contain errors, = if all prime numbers are odd.= a