Answer:
The F-statistic used to test the hypothesis that the miles per gallon for each fuel are the same is 4.07.
Step-by-step explanation:
There are four treatments in the data given, i.e. k = 4.
Total number of observations, n = 12.
Note: degrees of freedom is denoted as df.
For treatment, the degrees of freedom = k-1 = 4-1 =3 df.
The total degrees of freedom = n-1 = 12-1 = 11 df.
The error in degrees of freedom = df (total) - df(treatment)
The error in degrees of freedom = 11 - 3 = 8 df
At α = 0.05 level,from the F table, the F-statistic with (3 , 8)df is 4.07.
Therefore, the F-statistic used to test the hypothesis that the miles per gallon for each fuel are the same is 4.07.
Answer:
See below:
Step-by-step explanation:
Hello! I hope you are having a nice day!
We can solve this problem in two steps; solving and theory.
I'll go and start off with the theory part!
Theory
We know that in geometry there are many types of triangles that have various different angles. With that, there are a few special triangles that people have made formulas for, one being a 30, 60, and 90 degree triangle.
The theorem states that the hypotenuse is
, the side opposite to 60 degrees is
, and the bottom is
.
Solving
We can solve this problem in a step, we just need to know what the theorem said and implement it here, since we know the values of the sides of the triangle, we can solve it by finding out the opposite side and applying the theorem rules.
If we look at the graph, we can see that the
part of the side opp. of 60 degrees is 4, that means that
would be double of 4, which is 8.
Therefore your answer would be: 
Cheers!
Answer:
5a^2
Step-by-step explanation:
5ax5a=5a^2
Step-by-step explanation:
quisiera ayudarte pero no hablo inglés :(
Answer:
80 parrots were purchased.
Step-by-step explanation:
Let the total number of parrots be k.
If 20% (or 20/100 = 1/5) flew away and 5% (5/100 = 1/20) died, the remaining parrots will be k – (¹/₅k + ¹/₂₀k) = k – ¼k = ¾k.
Of the remaining, 45% (or 45/100 = 9/20) were sold, which means the total number of sold parrots will be ¾k × ⁹/₂₀ = ²⁷/₈₀k.
The remaining parrots = ¾k – ²⁷/₈₀k = ³³/₈₀k = 33
k = 33 × ⁸⁰/₃₃ = 80 parrots were purchased.