Answer:
37
Step-by-step explanation:
The first thing is to calculate critical z factor
the alpha and the critical z score for a confidence level of 90% is calculated as follows:
two sided alpha = (100% - 90%) / 200 = 0.05
critical z factor for two sided alpha of .05 is calculated as follows:
critical z factor = z factor for (1 - .05) = z factor for (.95) which through the attached graph becomes:
critical z factor = 2.58
Now we have the following formula:
ME = z * (sd / sqrt (N) ^ (1/2))
where ME is the margin of error and is equal to 6, sd is the standard deviation which is 14 and the value of z is 2.58
N the sample size and we want to know it, replacing:
6 = 2.58 * (14 / (N) ^ (1/2))
solving for N we have:
N = (2.58 * 14/6) ^ 2
N = 36.24
Which means that the sample size was 37.
Arc length is the angle/360 times circumference. The diameter of the unit circle is 2. So the circumference of the unit circle is 2pi, if you use 3.14 for pi, then the circumference is 6.28. So your equation is
x/360 times 6.28=4.2, divide by 6.28, then multiply by 360
x=240.76432
Your answer rounded to the nearest thousanth is 240.764
The equivalent value of the expression is -7
<h3>Modulus of a function</h3>
The modulus of an expression of value is equal to the positive of such function or value.
Given the expression
2(2.5 - |-6|)
Since the value of -6 is a modulus, the expression will become;
2(2.5 - |-6|) = 2(2.5) - 2(6)
2(2.5 - |-6|) = 5 - 12
2(2.5 - |-6|) = -7
Hence the equivalent value of the expression is -7
Learn more on equation here: brainly.com/question/2972832
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Answer:
-7
Step-by-step explanation:
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