Answer:
(b) (c) (a)
Step-by-step explanation:
Standard Normal distribution has a higher peak in the center, with more area in this región, hence it has less area in its tails.
Student's t-Distribution has a shape similar to the Standard Normal Distribution, with the difference that the shape depends on the degree of freedom. When the degree of freedom is smaller the distribution becomes flatter, so it has more area in its tails.
Student's t-Distributionwith 1515 degrees of freedom has mores area in the tails than the Student's t-Distribution with 2020 degrees of freedom and the latter has more area than Standard Normal Distribution
Answer:
A. (55 x 5) - (40 x 5)
Step-by-step explanation:
You are solving how much miles (further along) would the second car be after 5 hours.
The first car averages 40 miles per hour. 5 hours later, it will have averaged about 200 miles in 5 hours (40 x 5 = 200).
The second car averages 55 miles per hour. 5 hours later, it will have averaged about 275 miles in 5 hours (55 x 5 = 275)
Subtract: 275 - 200 = 75
The second car would have averaged 75 more miles than the first car.
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Answer:
C. 128/3 meters cubed
Step-by-step explanation:
The volume of a cylinder is denoted by: 
, where r is the radius and h is the height. We know it's equal to 64, so we can set that equal to V:
We know that the sphere and cylinder have the same height and radius. However, the "height" of a sphere is actually the same as its diameter, which is twice its radius. Then, we can replace h in the above equation with 2r:
Now, the volume of a sphere is denoted by: 
, where r is the radius. From above, we know that 
, so we can plug this into the equation:
Thus, the answer is C.
Answer:
52.4
Step-by-step explanation:
Arc length = 2πr(θ/360)
r = 10
θ = 300°
Arc length = 2π(10)(300/360) = 20π(0.8333) = 16.666π ≈ 52.36
