Name a point that is the square root of 2 away from(-1,5)
1 answer:
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Answer:
a
The null hypothesis is
The alternative hypothesis
b
c
The decision rule is
Fail to reject the null hypothesis
Step-by-step explanation:
From the question we are told that
The value given is
S/N
1 7 5
2 4 3
3 8 7
4 8 8
5 7 9
6 7 5
7 6 5
Generally the sample mean for the first sample is mathematically represented as
=>
=>
Generally the sample mean for the second sample is mathematically represented as
=>
=>
Generally the sample standard deviation for the first sample is mathematically represented as
=>
=>
Generally the sample standard deviation for the second sample is mathematically represented as
=>
=>
Generally the pooled standard deviation is
=>
=>
The null hypothesis is
The alternative hypothesis
Generally the test statistics is mathematically represented as
=>
=>
Generally the degree of freedom is mathematically represented as
=>
=>
From the t distribution table the probability of at a degree of freedom of
is
Generally the p-value is
From the values obtained we see that hence
The decision rule is
Fail to reject the null hypothesis
An absolute value inequality for "all numbers less than 7 and greater than -7" is given by |x| < 7.
<h3>How to write an absolute value inequality?</h3>Based on the information provided, we can logically deduce that the statement describes an intersection of set because the word "and" was used.
This ultimately implies that, we would use the less than (<) symbol to write an absolute value inequality for the given statement:
|x| < 7
Therefore, this can be translated as follows:
-7 < x < 7 or x < 7 and x > -7.
Read more on number line here: brainly.com/question/24644930
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