Answer:
46.55 feet (approx).
4.48 feet ( approx )
Step-by-step explanation:
Let x be distance manhole from the building. ( in feet ) and y be the height of the King Kong.
∵ The angles of elevation to the top of King Kong's head and to his feet are 55 degrees and 53.1 degrees respectively.
By the trigonometric ratio,


Thus, the distance of the manhole from the building would be 46.55 feet (approx).
Again by the trigonometric ratio,




Hence, King Kong is approximately 4.48 feet long.
Answer:
Sin A = 11/61
Step-by-step explanation:
Reference angle (θ) = A
opp = 11
Hyp = 61
Adj = 60
Sin θ = opp/hyp
Sin A = 11/61
The actual square root of 124 is 11.1355287257. Rounded to the nearest hundredth would be 11.14
Given M = 120, σ = 5.6
P (117.4 <x<120)
P (" 117.4-120 5.6 < X-M 120-120 5.6
P(-0.46 < 220)
= 0.5= P(-0.46 <2)
= 0.5 0.3212
0.1788
The standard deviation is 0.1788
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Answer:
0.3108 is the probability that the sample mean is between 7.8 and 8.2 minutes.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 8 minutes
Standard Deviation, σ = 2.5 minutes
Sample size, n = 25
We are given that the distribution of time spent is a bell shaped distribution that is a normal distribution.
Formula:

Standard error due to sampling =

P(sample mean is between 7.8 and 8.2 minutes)

0.3108 is the probability that the sample mean is between 7.8 and 8.2 minutes.