The probability that the sample mean is within 2 standard deviations on the high side and 1 standard deviation on the low side is about 0.8186.
x^2b + t = x^2e
x^2e - x^2b = t
x^2(e - b) = t
x^2 = t /(e -b)
x = √[t /(e -b)] or x = - √[t /(e -b)]
Answer:
24
Step-by-step explanation:
Answer:
The length of the diameter of this circular area is of 30 miles.
Step-by-step explanation:
The area of a circular region can be represented by the following equation:

In which r is the radius. The diameter is twice the radius.
In this question:

So




The radius is a positive measure, so

Area in squared miles, so the radius in miles.
What is the approximate length of the diameter of this circular area
D = 2r = 2*15 = 30 miles
The length of the diameter of this circular area is of 30 miles.
We are given the following measures:
mAB = 48°
mDC = 180°
In the given figure above, we can say that angle AVB is
an exterior angle which intercepts two arcs, arc AB and arc DC, therefore in
this case to solve for the measure of angle mAVB, we have to make use of the
formula which is in words:
Find the difference between the measures of the two
intercepted arcs and divide by 2, or expressed mathematically in this case as:
mAVB = (mDC – mAB) / 2
Substituting the given values into the equation:
mAVB = (180° - 48°) / 2
mAVB = 66°