Answer:
The height of the statue is <u>21.4 feet.</u>
Step-by-step explanation:
Given:
Distance of the person from the statue = 50 ft
Angle of elevation of the top of statue = 16°
Angle of depression of the bottom of statue = 8°
The diagram is drawn below.
In triangle ABC:
BC = 50 ft, ∠ABC = 16°
Using trigonometric formula;
Now, let us determine the height of man, 'x'.
Consider triangle BDE.
ED = 50 ft, ∠BDE = 8°
Using trigonometric formula;
Now, from the diagram, it is clear that, height of statue is given as:
The value of 
<u>Solution:</u>
Given: 
To find: The value of (h*h)(10)
We know that, 
which is,
On solving we get,
So, for x = 10 it will be,
Hence, the required value is 10.
Answer:
b) 0.9313
c) mean = 2.4
standard deviation= 1.3856
d) 0.5583
Step-by-step explanation:
Given:
p = 0.2
n = 12
a) X= number of applicants classified as deceptive.
Probability mass function of X will be:
b) Probability that the polygraph says at least 1 is deceptive:
= 1 - 0.0687
= 0.9313
c) The mean number among 12 truthful persons who will be classified as deceptive:
E(X) = n•p
= 12 * 0.2
= 24
Standard deviation:
= 1.3856
d) Probability that the number classified deceptive is less than the mean:
= 0.5583
