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Using a confidence interval of proportions, it is found that the correct statement is given by:
D a confidence interval for estimating the cricket's true probability of landing on its feet is more narrow after the final 10 jumps than it was before the final 10 jumps.
<h3>What is a confidence interval of proportions?</h3>A confidence interval of proportions is given by:
In which:
is the sample proportion.
- z is the critical value.
- n is the sample size.
The margin of error is given by:
The margin of error is inversely proportional to the square root of the sample size, hence, the higher the sample size, the narrower the interval is, hence option D is correct.
More can be learned about a confidence interval of proportions at brainly.com/question/25890103
<h3>Answer: 38</h3>
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Explanation:
The square markers tell us that we have right angles (aka 90 degree angles) at angle XYZ and XWZ. They are congruent by definition.
Another pair of congruent angles is WXZ and YXZ which are the left-most angles of each triangle.
The sides XZ and XZ are congruent to each other (reflexive property)
Based on those three previous paragraphs, we can use the Angle Angle Side (AAS) congruence theorem to prove that the triangles are congruent.
Specifically we could write . The order of the letters is important so we know which letters pair up (eg: Y and W pair up as the 90 degree angles).
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In short, the triangles are identical copies of each other. The upper triangle reflects over the line XZ to get the lower triangle, and vice versa. This means the smaller corresponding pieces must also be the same.
In this case, WZ = YZ = 38