Find a counterexample for the conjecture: If n is a real number, then -n is a negative
1 answer:
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Answer:
Step-by-step explanation:
Hello!
We have the information of the average wind speed for three months:
February:
Mean: 2.324
SD: 1.577
Otlier: 6.73 mph
June:
Mean: 0.857
SD: 0.795
Otlier: 3.93 mph
August
Mean: 0.63
SD: 0.597
Outlier: 2.53mph
a)
Z= X - μ ~N(0;1)
δ
≅2.79
≅ 3.18
b)
Comparing the three Z-scores you can say that the strongest wind event was in June. The number obtained means that is the furthest one in relation to the mean.
In geometry, it would be always helpful to draw a diagram to illustrate the given problem.
This will also help to identify solutions, or discover missing information.
A figure is drawn for right triangle ABC, right-angled at B.
The altitude is drawn from the right-angled vertex B to the hypotenuse AC, dividing AC into two segments of length x and 4x.
We will be using the first two of the three metric relations of right triangles.
(1) BC^2=CD*CA (similarly, AB^2=AD*AC)
(2) BD^2=CD*DA
(3) CB*BA = BD*AC
Part (A)
From relation (2), we know that
BD^2=CD*DA
substitute values
8^2=x*(4x) => 4x^2=64, x^2=16, x=4
so CD=4, DA=4*4=16 (and AC=16+4=20)
Part (B)
Using relation (1)
AB^2=AD*AC
again, substitute values
AB^2=16*20=320=8^2*5
=>
AB
=sqrt(8^2*5)
=8sqrt(5)
=17.89 (approximately)
