Answer:
Step-by-step explanation:
Given
Solving for x
- 12x + 16 = 50x - 3
- 50x - 12x = 16 + 3
- 38x = 19
- x = 19/38
- x = 1/2
The critical points of <em>h(x,y)</em> occur wherever its partial derivatives 
and 
vanish simultaneously. We have
Substitute <em>y</em> in the second equation and solve for <em>x</em>, then for <em>y</em> :
This is to say there are two critical points,
To classify these critical points, we carry out the second partial derivative test. <em>h(x,y)</em> has Hessian
whose determinant is 
. Now,
• if the Hessian determinant is negative at a given critical point, then you have a saddle point
• if both the determinant and 
are positive at the point, then it's a local minimum
• if the determinant is positive and is negative, then it's a local maximum
• otherwise the test fails
We have
while
So, we end up with
There is a good evidence that freshmen have a better than 32% chance of getting the course if they ask for it.
The null hypothesis is that freshmen do not have a better than 32% chance of getting the course if they ask for it.
The alternative hypothesis is freshmen have a better than 32% chance of getting the course if they ask for it.
<h3>What are the chance that a freshman would get the course?</h3>
The chance of getting the course = number of freshmen who got the course / total number of freshmen
73 / 200 = 36.50%
<h3>What are the null and alternative hypothesis?</h3>
The null hypothesis states that there is no relationship between the population parameters. It is known as the true hypothesis. In the question, the population parameters are freshmen and getting the course
The alternative hypothesis states that there is a relationship between the population parameters.
To learn more about the null hypothesis, please check: brainly.com/question/4454077
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I think s NO 4 i hope that was help.
