△XYZ was reflected over a vertical line, then dilated by a scale factor of , resulting in △X'Y'Z'. Which must be true of the two
triangles? Check all that apply.
△XYZ ~ △X'Y'Z'
XZY ≅ Y'Z'X'
YX ≅ Y'X'
XZ = 2X'Z'
mYXZ = 2mY'X'Z'
△XYZ ~ △X'Y'Z'
XZY ≅ Y'Z'X'
YX ≅ Y'X'
XZ = 2X'Z'
mYXZ = 2mY'X'Z'
2 answers:
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Answer:
(b) 1/792
Step-by-step explanation:
The complete question is;
<em>Counting: Grading One professor grades homework by randomly choosing 5 out of 12 homework problems to grade.</em>
<em>(a) How many different groups of 5 problems can be chosen from the 12</em>
<em>problems?</em>
<em>(b)Probability extension: Jerry did only 5 problems of one assignment. What is the probability that the problems he did comprised the group that was selected to be graded?</em>
<u>In (a)</u>
<u></u>
Apply the formula
where n=12 and r=5
substitute values
In (b)
If Jerry did only 5 problems of one assignment then the probability will be
<em />
<em />
Answer:
, it is the amount of money earned per number of hours of work, x
Step-by-step explanation:
Here we have two functions:
This function represents the amount of money (the earning) per unit x
Then we have the function
which represents the number of gallons of ice cream that Barrett makes per hour, where x is the number of hours he works.
Here we want to find the composite function
which means that we use the output of as input for
. In this context, this means that the function
represents the amount of money earned per number of hours of work, x.
Substituting g(x) into the x of f(x), we find: