What is the measure of angle x? Round to the nearest tenth. . 28 21 xº
1 answer:
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Answer:
1). Fold reflection symmetries = 5
2). Order of rotational symmetries = 10
3). Smallest angle of rotational symmetry = 36°
Step-by-step explanation:
A decagon has number of fold reflection symmetries = 5
[Fold reflection symmetries are the lines by which we can fold the shape into half]
Order of rotational symmetry of a decagon = 10
[Order of rotational symmetry means number of rotations by which the polygon maps itself in a complete rotation of 360°]
Smallest angle of rotational symmetry for a decagon
=
=
= 36°
Answer:
- 0.26
- 0.91
- 1.43
Step-by-step explanation:
given data
mean = 1.9 hours
standard deviation = 0.3 hours
solution
we get here first random movie between 1.8 and 2.0 hours
so here
P(1.8 < z < 2 )
z = (1.8 - 1.9) ÷ 0.3
z = -0.33
and
z = (2.0 - 1.9) ÷ 0.3
z = 0.33
z = 0.6293
so
P(-0.333 < z < 0.333 )
= 0.26
so random movie is between 1.8 and 2.0 hours long is 0.26
and
A movie is longer than 2.3 hours.
P(x > 2.3)
P( >
)
P (z > )
P (z > 1.333 )
= 0.091
so chance a movie is longer than 2.3 hours is 0.091
and
length of movie that is shorter than 94% of the movies is
P(x > a ) = 0.94
P(x < a ) = 0.06
so
P( <
)
a = 1.43
so length of the movie that is shorter than 94% of the movies about 1.4 hours.