Answer:
The maximum value of the confidence interval for this set of survey results is 51.73%.
Step-by-step explanation:
A confidence interval has two bounds, a lower bound and an upper bound.
These bounds depend on the sample proportion and on the margin of error.
The lower bound is the sample proportion subtracted by the margin of error.
The upper bound is the margin of error added to the sample proportion.
In this question:
Sample proportion: 46.1%
Margin of error: 5.63%.
Maximum value is the upper bound:
46.1+5.63 = 51.73
The maximum value of the confidence interval for this set of survey results is 51.73%.
Answer:
It will be biased.
Step-by-step explanation:
By surveying only grades 1, 2, and 3, she is not taking a representation of the entire school. It is possible that the popular color or the color the students like would change over time and the opinion of the younger kids could be different from that of the older kids. Therefore, the sample is biased unless she surveys students from all grades.
Based on the information given, it should be noted that the residual for the two points will be 0.087 and -0.033 respectively.
<h3>How to find the residual.</h3>
From the complete information, the predicted value for the point (3, 0.42) will be:
= (0.091 × 3) + 0.060
= 0.0273 + 0.060
= 0.333
Therefore, the residual will be:
= 0.42 - 0.333 = 0.087
The predicted value for the point (3, 0.3) will be:
y = 0.091x + 0.060.
= (0.091 × 3) + 0.060.
= 0.333
Therefore, the residual will be:
= 0.3 - 0.333 = -0.033
Therefore, the residual for the two points will be 0.087 and -0.333 respectively.
Learn more about residuals on:
brainly.com/question/26255019
Answer:
Length of diagonal of picture = 15.30 inches
Step-by-step explanation:
Given that:
Side lengths of picture frame = 12 inches by 9.5 inches
As the picture is rectangular, the diagonal will form hypotenuse of right angled triangle.
Using Pythagorean theorem;
a²+b²=c²
Putting the values in the theorem

Taking square root on both sides

Hence,
Length of diagonal of picture = 15.30 inches
Hey there! :)
This figure is an irregular polygon. Regular polygons have side lengths that measure the same length. In this polygon, not all the sides are equal. Therefore, it is an irregular polygon.
Your answer is the 2nd choice ⇒ irregular polygon
Hope this helps :)