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>
Given:
The equation of the curve is:
To find:
The gradient (slope) of the given curve at point (2,7).
Solution:
We have,
Differentiate the given equation with respect to x.
Now we need to find the value of this derivative at (2,7).
Therefore, the gradient (slope) of the given curve at point (2,7) is 19.
Answer:
Rational.
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Parallel lines have equal slopes.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 5x + 1 ← is in slope- intercept form
with slope m = 5
Rearrange 2y - 10x + 3 = 0 into this form
Add 10x to both sides
2y = 10x ( subtract 3 from both sides )
2y = 10x - 3 ( divide all terms by 2 )
y = 5x - ← in slope- intercept form
with slope m = 5
Since both lines have a slope of 5 then they are parallel.