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chassidytjtrimb
27.09.2019 •
Mathematics
What is the mean of the following data values?
53, 71, 89, 10, 87
a. 62
b. 71
c. 82
d. 51
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Ответ:
Ответ:
Mean of the given data = 62
Step-by-step explanation:
53, 71, 89, 10, 87
To find mean of the given data values
We add all the numbers and divide by the number of datas
We are given with 5 numbers
LEts add all the numbers
53 +71+ 89+ 10+87= 310
Mean =![\frac{sum of numbers }{number of data}](/tpl/images/0266/8168/9c7bd.png)
=
= 62
Ответ:
16.67 or 16 2/3
Step-by-step explanation:
so, as BC is a tangent, it means the angle OBC is 90 degrees.
therefore, the angle BOC is 180 - 90 - 30 = 60 degrees.
that means the angle AOB is 180 - 60 = 120 degrees.
the triangle ABO must be an isosceles triangle, as the sides are both the radius of the circle. so, both remaining angles are the same : half of 180 - 120 = 60 = 30 degrees.
and so, we know that ABC is an isosceles triangle, because both "side angles" are equal = 30 degrees.
so, AB = BC.
and we know the circumference of the circle (50) and can calculate the radius
50 = 2×pi×r
25 = pi×r
r = 25/pi ≈ 7.96
now we have multiple ways to calculate AB.
AB = BC = tan(60) × r
or
AB = sqrt(r² + r² - 2×r×r×cos(120))
or ...
the first one might be easiest.
AB = tan(60) × 7.96 ≈ 13.78
oh, I just recognized, we need the arc AB (not the straight line).
even easier.
50 is the full "arc" of the circle for all 360 degrees.
but we only need the part of the angle AOB = 120 degrees.
so, this is then only the 120/360 part of the full circle circumference.
ABarc = 50 × 120/360 = 50 / 3 ≈ 16.67 or 16 2/3