If y varies inversely with x and y=2 when x=8 what is K the constant of proportionality
1 answer:
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Answer:
Option 3.
Step-by-step explanation:
It is given that a triangle sits on a line and forms 2 exterior angles on the left and right of the triangle of (2h) degrees.
The top interior angle of the triangle is 40 degrees.
From the given figure it is clear that
(Supplementary angle)
(Supplementary angle)
According to the angle sum property of triangle, the sum of all interior angles of a triangle is 180 degree.
Combine like terms.
Divide both sides by -4.
The value of h is 55.
Therefore, the correct option is 3.
Answer:
Check the explanation
Step-by-step explanation:
One way ANOVA
The null and alternative hypothesis for this one way ANOVA is given as below:
Null hypothesis: H0: There is no significant difference in the averages of the scores for the quizzes, exams and final only.
Alternative hypothesis: There is a significance difference in the averages of the scores for the quizzes, exams and final only.
The ANOVA table with calculations can be seen in the attached images below:
In the attached image below, we get the p-value for this one way ANOVA test as 0.0221. We do not reject the null hypothesis if the p-value is greater than the given level of significance and we reject the null hypothesis if the p-value is less than the given level of significance or alpha value.
In the attached image below, we are given that the p-value = 0.0221 and level of significance or alpha value = 0.05, that is p-value is less than the given level of significance. So, we reject the null hypothesis that there is no significant difference in the averages of the scores for the quizzes, exams and final only. This means we conclude that there is a significance difference in the averages of the scores for the quizzes, exams and final only.
