Answer:
A student finds a 95% confidence interval of (16.34,18.69) for the mean number of species counted. This is a valid interval because the mean number of species or any population mean does not necessarily have to be a whole number, as stated by the student.
This given confidence interval of (16.34,18.69) helps us to simply estimate the mean species counted.
50-2n
that is the expression
Given:
The equation of a circle is
A tangent line l to the circle touches the circle at point P(1,3).
To find:
The equation of the line l.
Solution:
Slope formula: If a line passes through two points, then the slope of the line is
Endpoints of the radius are O(0,0) and P(1,3). So, the slope of radius is
We know that the radius of a circle is always perpendicular to the tangent at the point of tangency.
Product of slopes of two perpendicular lines is always -1.
Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.
The slope of line l is 
and it passs through the point P(1,3). So, the equation of line l is
Adding 3 on both sides, we get
Therefore, the equation of line l is .
The given problem is a quadrilateral shape. There are 4 angles and sides shown in the problem and the only given angle is X.
The illustration shows four sides (quad), the stick drawn at the center of each sides describes the relationship of their lengths.
All one stick are equal, and two sticks are also equal.
Given Angles:
X=102 deg
W=(7x+4) deg
Y=(5x-4) deg
Since angle X is 102 degrees, then angle Z is also 102 degrees. The total angle of a quadrilateral is 360 degrees.
So, to find x:
102 + 102 + 7x + 4 + 5x - 4 = 360
x=13
Answer:
Irrational
Step-by-step explanation:
Any number that can be written as a fraction or a ratio is a rational number. The product of any two rational numbers is therefore a rational number, because it too may be expressed as a fraction. For example, 5/7 and 13/120 are both rational numbers, and their product, 65/840, is also a rational number.
An irrational number is a number that is NOT rational. It cannot be expressed as a fraction with integer values in the numerator and denominator. When an irrational number is expressed in decimal form, it goes on forever without repeating.
