Kiran and his cousin work during the summer for a landscaping company. Kiran's cousin has been working for the company longer, so his pay is 30% more than Kiran's. Last week his cousin worked 27 hours, and Kiran worked 23 hours. Together, they earned $493.85. What is Karen's hourly pay ?

Solution: Each coin toss has 2 possible outcomes "Head" and "Tail". So if we flip a coin four times, the number of possible outcomes are:

outcomes.

Let H denotes the Head and T denotes the Tail, then the 16 possible outcomes are enumerated below:

HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT,

THHH, THHT,  THTH, THTT,  TTHH,  TTHT, TTTH, TTTT

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22.6 is an outlier for the second data set. The reason for this is that 22.6 is nowhere near the rest of the data points. Outliers are numbers that are either a lot bigger or a lot smaller than the rest of the other numbers in the set. In this case, 22.6 is a lot bigger.

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Answer:

Option A is correct

The only figure after composition of to figure R is Figure H

Step-by-step explanation:

From the given figure in R;

The coordinates in Figure R ;

(1 , -1) , (2, -2) ,(4, -2) ( 0, -4)

Composite function defined as when one function is substituted into another function.

To Apply the composition to figure R;

First apply the Reflection in Figure R;

The rule of reflection is given by:

By applying the rule of reflection in Figure R ,

then, the coordinates becomes;

(1 , -1) (1, 1)

(2 , -2) (2, 2)

(4 , -2) (2, 4)

(0, -4) (4, 0)

Now, apply the translation

Translation : It is a type of transformation that moves each point in a figure the same distance in the same direction.

then,

the rule of translation is:

Apply the rule of translation on coordinates (1,1) , (2,2),  (2,4) and (4,0)

then

(1 , 1) (1+0 1+3) =(1,4)

(2, 2) (2+0 2+3) =(2, 5)

(2, 4) (2+0 4+3) =(2 ,7) and

(4, 0) (4+0 0+3) =(4 ,3)

Then, the only figure after composition of to figure R is Figure H

Answer:

The correct answer is choice A) Figure H