Answer:
the statements are not equivalent
In kilometers, the approximate distance to the earth's horizon from a point h meters above the surface can be determined by evaluating the expression
![d= \sqrt{12h}](https://tex.z-dn.net/?f=d%3D%20%5Csqrt%7B12h%7D%20)
We are given the height h of a person from surface of sea level to be 350 m and we are to find the the distance to horizon d. Using the value in above expression we get:
Therefore, the approximate distance to the horizon for the person will be 64.81 km
Answer:
a. 81.5%
Step-by-step explanation:
The z-score for 400 is ...
Z = (X -μ)/σ = (400 -500)/100 = -1
The z-score for 700 is ...
Z = (700 -500)/100 = 2
The empirical rule tells you that 68% of the distribution is within ±1σ of the mean, and 95% is within ±2σ of the mean. Half of that first number is in the range Z = -1 to 0, and half that second number is in the range Z = 0 to +2. So, the probability you want is ...
(1/2)(68%) + (1/2)(95%) = 81.5% . . . . matches choice A
30(-2/5)²(5/8) = 30*(4/25)*(5/8) = 30*4/(5*8) = 3