Han is cycling at a speed of -8 miles per hour; if he starts at the same zero point, what will his position be after 45 minutes?
1 answer:
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The length of the image of the segment CD is 10 units if the segment CD has endpoints at C(0, 3) and D(0, 8).
<h3>What is a distance formula?</h3>
It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
We have two points C(0, 3) and D(0, 8)
The distance between these two points:
d = √(8-3)²
d = 5 units
The length of the image of segments CD = dilation factor×length of CD
= 2×5
= 10 units
Thus, the length of the image of the segment CD is 10 units if the segment CD has endpoints at C(0, 3) and D(0, 8).
Learn more about the distance formula here:
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Answer:
The expected number of experiment is 198
Step-by-step explanation:
Solution
Given that:
We need to carry out a test
where,
H0 : p =0.5
and
H1 : p ≠ 0.5
n = the number of flip coin which is = 200
x = this is the number of heads declared = 106
So,
xₙ = x/n = 106/200 = 0.53 = p
Thus,
D₂ =√n (xₙ - 0.5)/√0.5 * (1-0.5)
=√200 * (0.53 - 0.5)/ √0.5 * (1-0.5)
= 0.848528137
D₂ = 0.8485
Now,
p ( z> D₂ ) = p ( z > 0.8485)
=0.198072
Thus,
By applying R,
1 - pnorm (0.8485, 0,1)
That is (1- pnorm (D₂, 0, 1)
Hence,
p ( z> D₂ )≈ 0.198072
So,
We find The expected number of experiment such that the estimator √n (xₙ - 0.5)/√0.5 * (1-0.5)i s larger than the value D₂ when the total is 1000 times or attained in the first experiment Thus
1000 * p ( z> D₂ )
= 1000 * 0.198072
=198.072
=198
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