Student 1,2, and 3
Student 2,1, and 3
Student 1, 3, and 2
Student 2, 3, and 2
Student 3, 1, and 2
Student 3, 2, and 1
so 6 different orders
Using the z-distribution, it is found that a sample size of 3,385 is required.
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:
The margin of error is:
In which:
- is the sample proportion.
In this problem, we have a 98% confidence level, hence, z is the value of Z that has a p-value of , so the critical value is z = 2.327.
We have no prior estimate, hence is used, which is when the largest sample size is needed. To find the sample size, we solve the margin of error expression for n when M = 0.02, hence:
n = 3,385.
A sample size of 3,385 is required.
More can be learned about the z-distribution at brainly.com/question/25890103
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Answer:
the length is 3y^{2}
the wight 4+7y^{3}
Step-by-step explanation:
Answer:
Container A is filling more quickly because the line is steeper and has a higher C.O.P
Step-by-step explanation:
The given triangle is isosceles, so the two remaining angles in the triangle both have measure <em>xº</em>. The interior angles of any triangle sum to 180º, so that
58º + <em>xº</em> + <em>xº</em> = 180º
58 + 2<em>x</em> = 180
2<em>x</em> = 122
<em>x</em> = 61
Angles <em>y</em> and <em>z</em> are supplementary to angle <em>x</em>, so that
<em>xº</em> + <em>yº</em> = 180º
and
<em>xº</em> + <em>zº</em> = 180º
and consequently, <em>y</em> = <em>z</em>. In particular, we get
<em>y</em> = 180 - 61
<em>y</em> = 119
and so
<em>z</em> = 119