15 POINTS,ANSWER QUICKLY Think about all of the ways in which a line and a parabola can intersect. Select all of the number of w
ays in which a line and a parabola can intersect.
2 answers:
<u>Answer:</u>
3 ways
<u>Explanation:</u>
We know that a parabola has a second degree equation), while a line has a first degree equation.
To get the points of intersection, we will need to solve both simultaneously.
Solving them, we can reach a maximum of two solutions, however, other scenarios are also possible.
<u>Possible scenarios:</u>
1- no intersection occurs as shown in the first attachment
2- one intersection occurs as shown in the second attachment
3- two intersections occur as shown in the third attachment
Based on the above, there are three ways where the line and parabola can intersect
Hope this helps :)
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Answer:
The confidence interval for the mean is given by the following formula:
And the confidence interval is given by:
(0.123, 0.177)
And for this case the interval contains the value 0.16, so then we can conclude at 5% of significance that the true proportion is not different from 0.16
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
And the confidence interval is given by:
(0.123, 0.177)
And for this case the interval contains the value 0.16, so then we can conclude at 5% of significance that the true proportion is not different from 0.16
Answer:
Step-by-step explanation:
Im assuming the question was if thats not the case then im wrong