In total, 14 people like cake (10+4).
4 of those 14 also like pie.
4/14= 2/7
Final answer: A
Based on the population mean, the mean of the distribution sample means would be 204.6. The standard deviation would be 0.22.
<h3>What are the mean and standard deviation of the distribution?</h3>
The mean of the distribution sample means is the same as the population means which is 204.6.
The standard deviation can be found as:
σₓ = σ / √n
= 3.1 / √197
= 0.22
Find out more on standard deviation at brainly.com/question/12402189.
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Answer:
<h2>x = 14, z = 65</h2>
Step-by-step explanation:
The angles (5x - 5)° and (6x + 31)° are supplementary angles.
Supplementary Angles add up to 180°.
Therefore we have the equation:
5x - 5 + 6x + 31 = 180 <em>combine like terms</em>
(5x + 6x) + (-5 + 31) = 180
11x + 26 = 180 <em>subtract 26 from both sides</em>
11x = 154 <em>divide both sides by 11</em>
x = 14
The angles (5x - 5)° and z° are vertical angles.
Vertical angles are congruent.
Therefore we have the equation:
z = 5x - 5 <em>put x = 14 to the equation</em>
z = 5(14) - 5
z = 70 - 5
z = 65
1) You must do division first. So divide 5/12 and get .41666666...
2) Then you add 15+5 and get 20.
3) Finally you subtract 20 and .41666666... and you get 19.5833333...
4) you can simplify 19.583333... to 19.584 if you need to.
