Answer:
The value is
Step-by-step explanation:
From the question we are told that
The sample mean is 
The sample size is n = 25
The standard deviation is 
Given that the sample size is not large enough i.e n< 30 we will make use of the student t distribution table
From the question we are told the confidence level is 99.7% , hence the level of significance is
=>
Generally the degree of freedom is 
=> 
=>
Generally from the student t distribution table the critical value of
at a degree of freedom of
is
Generally the margin of error is mathematically represented as
=>
=>
Gnerally the upper control chart limit for 99.7% confidence is mathematically represented as

=>
=>
7/10-3/10=2/5
3/10+1/10=2/5
3.002
To solve this problem, all you need to do is subtract 6.108-3.106
The equivalent expression of
is 
<h3>How to determine the equivalent expression?</h3>
The expression is given as:

Expand the numerator

Divide 125 and 30 by 5

Apply the law of indices

Evaluate the exponent

Hence, the equivalent expression of
is 
Read more about equivalent expression at:
brainly.com/question/2972832
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Answer:
T'(2, - 5 )
Step-by-step explanation:
Under a rotation about the origin of 180°
a point (x, y ) → (- x, - y ), thus
T(- 2, 5 ) → T'(2, - 5 )