Answer:
CLASS FREQUENCIES RELATIVE FREQUENCIES
A 60 0.5
B 12 0.1
C 48 0.4
TOTAL 120 1
Step-by-step explanation:
Given that;
the frequencies of there alternatives are;
Frequency A = 60
Frequency B = 12
Frequency C = 48
Total = 60 + 12 + 48 = 120
Now to determine our relative frequency, we divide each frequency by the total sum of the given frequencies;
Relative Frequency A = Frequency A / total = 60 / 120 = 0.5
Relative Frequency B = Frequency B / total = 12 / 120 = 0.1
Relative Frequency C = Frequency C / total = 48 / 120 = 0.4
therefore;
CLASS FREQUENCIES RELATIVE FREQUENCIES
A 60 0.5
B 12 0.1
C 48 0.4
TOTAL 120 1
We have been given that Marcus works for 26 hours each week and 48 weeks each year.
Thus in a year he works for 
hours.
Now, we have been given that Marcus earns $8.40 per hour.
Therefore, in 1248 hours, he earns
Marcus has to pay tax if he earns more than $10,000. Now we have calculated that he earns $ 10483.2 which is higher than $10,000.
Therefore, Marcus has to to pat tax.
Y=2/3x
The y-intercept is zero, and the slope is 2/3
You can use the distance formula:
d=sqroot(x2-x1)squared + (y2-y1)squared.
Plug in values: d=sqroot(8-(-6))squared + (2-2)squared
Simplify: d=sqroot(196)+0
Simplify:d=sqroot(196
Square Root: d=14 units
The coordinate A(-1, 1) reflected over y-axis is (1, 1) is the coordinate of E, hence the two figures are congruent
- The given figures are quadrilaterals, in order to determine whether they are similar, we need to check if they are reflections of each other.
- For the Quadrilateral ABCD, the coordinate of A is at A(-1, 1) and for the Quadrilateral DEFG, the coordinate of E is at E(1, 1).
- Note that if an object is reflected over the y-axis the transformation is (x, y)->(-x, y)
- We need to check whether if we reflect the coordinate A over the y-axis we will get coordinate E
Since the coordinate A(-1, 1) reflected over y-axis is (1, 1) is the coordinate of E, hence the two figures are congruent
Learn more on reflections here:brainly.com/question/1908648
