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.
Answer with explanation:
Theorem : The diagonal of a parallelogram divides it into two congruent triangles.
Properties of parallelogram
1. Opposite sides are equal and parallel.
2. Diagonal bisect each other.
3. Opposite Angles are equal.
If you will look at the first three options
A: Diagonals of a parallelogram bisect opposite angles.→→False(Alternate angles are equal)
B: Consecutive sides of a parallelogram are congruent.→→→False(Opposite sides are congruent)
C: Consecutive angles of a parallelogram are congruent.→→→False(Opposite angles are congruent)
D: Consecutive angles of a parallelogram are supplementary.→→→→True
For,any parallelogram, having vertices , A, B and C and D
Opposite sides are parallel, so
1.∠A + ∠B=180°
2.∠C + ∠B=180°
3.∠C+ ∠D=180°
4. ∠A + ∠D=180°
Option D
Answer:
d. The average is equal to 12 ounces.
Step-by-step explanation:
In this problem, the drink filling machine must be perfectly calibrated at 12 ounces since it needs to be shut down in cases of overfilling (mean > 12 ounces) and underfilling (mean < 12 ounces). Therefore, the correct approach would be to test if the mean is 12 ounces and the correct set of hypothesis would be:
The correct alternative is d. The average is equal to 12 ounces.
Since the sum of all probabilities of all all elementary events will always be equal to 1. Furthermore, the probabilities of all mutually exclusive set of events that is part of the entire sample space will always be total of 1.
So in the problem, the answer is 1/8.
1/8 for red + 3/8 for green + 3/8 for yellow + 1/8 for blue = 8/8 or 1.
Answer:
B is 50° and C is 130°
Step-by-step explanation:
complementary angle
x+x=90°
40°+x=90°
x=90°-40°
x=50°
supplementary angles
x+x=180
50+x=180
x=180-50
x=30°
