Given the frequency table on the relationship between red hair and green eyes.
Green Eyes Eye Color other than Green Total
Red Hair 18 29 47
Hair Color
other than 114 650 764
Red
Total 132 679 811
The relative frequency table is obtained from a frequency table by dividing each entry of the requency table by the overall total of the frequency table.
The relative frequency table of the frequency table above is given below.
Green Eyes Other Eye Color Total
Red Hair 18/811 = 0.02 = 2% 29/811 = 0.04 = 4% 47/811 = 0.06 = 6%
Other Hair
Color 114/811 = 0.14 = 14%|650/811 = 0.80 = 80%|764/811 = 0.94 = 94%
Total 132/811 = 0.16 = 16%|679/811 = 0.84 = 84%|811/811 = 1.0 = 100%
Given that x is the relative frequency of people that have other hair color and have green eyes, thus, the value of x is 14%.
Therefore, <span>the value of x in the table = 14%.</span>
The answer is D) Yes; because x and y must be integers, and integers are rational.
Answer:
4x - 5y = 10
Step-by-step explanation:
Any line parallel to 4x - 5y = 35 will have the same equation EXCEPT that the constant will be different.
Starting with 4x - 5y = 35, replace x with the given x-coordinate -5 and the given y-coordinate -6, and finally the given 35 with the constant C:
4(-5) - 5(-6) = C, or
-20 + 30 = C. Thus, C = 10, and the equation of the new line is
4x - 5y = 10
Answer:
See below
Step-by-step explanation:
1)

2)

Equating like terms on both sides:
Solving equations (1) & (2), we find:
A = 5, B = 7

Answer:
Range is {y | y ≥ –11}
Step-by-step explanation:
This is quadratic equation.
<em>A quadratic equation's range can be found if we find the vertex.</em>
For quadratic equations that have a positive number in front of
, it is upward opening and thus <u>all the numbers greater than or equal to the minimum value of vertex is the range.</u>
The formula for vertex of a parabola is:
Vertex = 
Where,
is the coefficient of 
is the coefficient of 
From our equation given,
and 
Now,
coordinate of vertex is 
coordinate of the vertex IS THE MINIMUM VALUE that we want. We get this by plugging in the
value [
] into the equation. So we have:

Hence, the range would be all numbers greater than or equal to
Third answer choice is the right one.