Determine what comes next in the given pattern.15, 10, 14, 10, 13, 10,
2 answers:
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Answer:
4. 158
Step-by-step explanation:
First let's make things a little simpler and put these arcs in terms of x. We know that the degree measure around the outside of a circle, regardless of its size, is 360. So let's say that arc BC is x. That means that arc BDC is 360 - x. This is because arc BC + arc BDC = 360. Substituting in our x's we have:
x + 360 - x = 360 and
360 = 360. (That's just the proof that putting in our x's as we did does in fact work!)
Following the formula then, we have
and
Multiply both sides by 2 to get rid of the fraction and get
44 = 360 - 2x
Subtract 360 rom both sides to get
-316 = -2x
Divide both sides by -2 to get that x = 158
Since we are looking for arc BC and we designated arc BC as our x, that means that arc BC = 158.
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
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Generally the degree of freedom is
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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
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Gnerally the upper control chart limit for 99.7% confidence is mathematically represented as
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