Answer:
x = 12.52°
Step-by-step explanation:
The illustration forms a right angle triangle . The right angle triangle formed has a height of 200 ft and a base of 900 ft.
The opposite side of the triangle is 200 ft while the adjacent side of the triangle is 900 ft.
Using tangential ratio we can find the angle of depression. Therefore,
Let
x = angle of depression
tan x = opposite/adjacent
opposite = 200 ft
adjacent = 900 ft
tan x = 200/900
tan x = 2/9
x = tan⁻¹ 2/9
x = tan⁻¹ 0.222
x = 12.5166739144
x = 12.52°
Answer:71.1%
Step-by-step explanation:
32/45
32÷45=0.71111111111.............
0.711111111.......×100=71.1111111111.......
Round off to the nearest tenths of %
71.1111111111111........=71.1%
Answer =71.1%
Answer:
P(X > 8) = 0.323
Step-by-step explanation:
We are given that a softball pitcher has a 0.507 probability of throwing a strike for each pitch. Also, the softball pitcher throws 15 pitches.
The above situation can be represented through Binomial distribution;
where, n = number of trials (samples) taken = 15 pitches
r = number of success = more than 8
p = probability of success which in our question is probability of
throwing a strike for each pitch, i.e., 0.507
<em>LET X = Number of strikes</em>
So, it means X ~
So, Probability that more than 8 of them are strikes = P(X > 8)
P(X > 8) = P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)
= =
= 0.323
Therefore, probability that more than 8 of them are strikes is 0.323.
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