The horizontal distance between two towers is 80 m. The angle of depression of the top of the first tower when seen from the top
1 answer:
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Answer:
a) 75.62
b) 75.2
Step-by-step explanation:
Data provided:
79.9,75.1,78.2,74.1,73.9,75.0,77.6,77.3,73.8,74.6,75.5,74.0,74.7,75.9,72.6,73.8,74.2,78.1,75.4,76.3,75.3,76.2,74.9,78.0,75.1,76.8
Sum = 1966.3
Total number of observations, n = 26
a) Mean is given as:
Mean =
or
Mean =
or
Mean = 75.62
b) For value that separates the weakest 50% of the connectors i.e median or the 50th percentile
Arranging the data in ascending order:
72.6, 73.8, 73.8, 73.9, 74, 74.1, 74.2, 74.6, 74.7, 74.9, 75, 75.1, 75.1, 75.3, 75.4, 75.5, 75.9, 76.2, 76.3, 76.8, 77.3, 77.6, 78, 78.1, 78.2, 79.9
i =
or
i = = 13
When the number of observations is even the formula for median is:
or
or
or
or
Median = 75.2
A. <u>False.</u> The range of is the set of values it can produce. In the table,
produces values from
to
. However, the range of all real numbers is all rational numbers, basically from
to
, not just a few numbers in-between. So, the range of
is not all real numbers.
B. <u>True.</u> Looking at the table, when ,
. This is another way of saying that
, which is what B is saying.
C. <u>True.</u> The domain of is the set of values of
that produce some output in
. Looking at the table, all of the
values listed on it are in the set
, which is what C is saying.
D. <u>False.</u> Looking at the table, when ,
. This is another way of saying that
, which is <em>not </em>what B is saying.