Compare it to 1/2 (which is the same as 6/12)
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.
The correct answer would be 2y^5
The value of 'x' is 24.2 and the value of 'y' is 46.5.
To solve this, we do the following steps.
<u>Step 1:</u> Divide 'y' into 2 parts, 'a' and 'b'. 'a' would be the lower leg of the 45°-45°-90° triangle, while 'b' is the lower leg of the 30°-60°-90° triangle.<em>
</em><u>Step 2:</u> Given the hypotenuse (34) of the 30°-60°-90° triangle, solve for 'b' using the cosine of 30°.
cos30° = b/34 [adjacent over hypotenuse]
b = 34cos30° [cross-multiply]
b = 29.4
<u>Step 3:</u> Solve for the 90° leg (the side opposite the 30° angle) using the Pythagorean Theorem. We will name this leg "h" (cuz height).
l² + l² = hyp²
29.4² + h² = 34²
h² = 1156 - 864.36
√h² = √291.64
h = 17.1
<u>Step 4:</u> Solve for 'x' by using the 45°-45°-90° triangle ratio (1:1:√2). √2 would be the hypotenuse of the 45°-45°-90° triangle, while 1 would be both congruent legs.
Side 'h' is one of the legs; side 'a' is the other. Since these legs are congruent, 'a' also measures 17.1. Now all we need to do is solve for 'x', which is our hypotenuse. To do this, we simply multiply the measure of side 'h' or 'a' by √2.
x = 17.1 × √2
x = 24.2
<u>Step 5:</u> Now that we got the value of 'x', solve for 'y' by adding the measures of sides 'a' and 'b' together.<em>
</em><u /> y = a + b
y = 17.1 + 29.4
y = 46.5
And there you have it! <em>Hope this helps.</em>
<em>
</em>
We know that
<span>the probability of the Galaxy team winning is 22%------> 0.22
</span>the probability of the Galaxy team losing is 100%-22%----> 78%-----> 0.78
<span>the probability of the Komets team winning is 47%------> 0.47
</span>the probability of the Komets team losing is 100%-47%----> 53%-----> 0.53
therefore
<span>the probability of the comets losing their race and the galaxy winning theirs is
0.53*0.22=0.1166------> 11.66%
the answer is
11.66%</span>
