Answer:
b. can be larger, smaller, or equal to the number of degrees of freedom for the denominator.
Step-by-step explanation:
The distribution of all possible values of the f statistic is called an F distribution with various degree of freedom. For an F distribution, the F statistic is greater than or equal to zero and as the degrees of freedom for the numerator and for the denominator get larger, the curve approximates the normal.
For an F distribution, the number of degrees of freedom for the numerator can be larger, smaller, or equal to the number of degrees of freedom for the denominator.
Answer:
xw= 60°
ym=60°
mw=120°
Step-by-step explanation:
Angles on a straight line add up to 180°. Therefore 180-78+42°=60°
Opposite angles are equal. Therefore 60°=60°
Angles in a circle = 360° Therefore 78°+42°+60°+60°+120°=360°
The triangle <span>pyramid</span> is made up of 4 triangles.
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Formula:
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Area of triangle = 1/2 x base x height
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Area of the bottom triangle:
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Area = 1/2 x 9 x 7.8
Area = 35.1 yd²
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Area of the 3 side triangles:
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Area = 3 [ 1/2 x 9 x 10 ]
Area = 135 yd²
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Total Area:
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Total Area = 135 + 35.1
Total Area = 170.1 yd²
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Answer: Surface Area = 170.1 yd².
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The first carpenter is 0.4464 of the way is ahead of the second carpenter
<u>Solution:</u>
Given, Two carpenters are building a fence
After 5 minutes, one carpenter is finished 4/7 of the way
Second carpenter finished 1/8 of the way
Now, let us find the work done by each carpenter

Then, extra work done by first carpenter over second carpenter = work done by first carpenter – work done by second carpenter
= 0.5714 – 0.125 = 0.4464
Hence, the 1st carpenter is 0.4464 of the way is ahead of the 2nd carpenter
It takes 4.3 seconds for the rocket to return to earth.
The equation is:

where -9.8m/sec² is the acceleration due to gravity, v₀ is the initial velocity, and h₀ is the initial height. We will go from the assumption that the rocket is launched from the ground, so h₀=0, and we are told that the initial velocity, v₀, is 42. This gives us:

We will use the quadratic formula to solve this. The quadratic formula is:

Plugging in our information we have:

x=0 is when the rocket is launched; x=4.3 is when the rocket lands.