<h2>
Answer with explanation:</h2>
1)
The vertices of X,Y and Z are:
X(-2, 0), Y(-2, -1), and Z(-5, -2)
Now, when X,Y and Z are translated by using the translation transformation:
(x,y) → (x+6,y-2)
Then we obtain the transformation:
X(-2, 0) → X′(4, -2)
Y(-2, -1) → Y′(4, -3)
Z(-5, -2) → Z′(1, -4)
The type of transformation that triangle XYZ undergoes is a translation transformation by the rule: (x,y) → (x+6,y-2)
2)
Next when we reflect the triangle X'Y'Z' across the x-axis then we obtain X"Y"Z"
Since, the rule that follow on reflecting across x-axis is:
(x,y) → (x,-y)
Hence, we get:
X′(4, -2) → X″(4, 2)
Y′(4, -3) → Y″(4, 3)
Z′(1, -4) → Z″(1, 4)
Hence, the type of transformation that triangle X′Y′Z′ undergoes is a reflection transformation (on reflecting across x-axis)
i might be wrong but i think its A.
Answer: 0.3974
Step-by-step explanation:
Given : The distribution of annual returns on common stocks is roughly symmetric, so the mean return over even a moderate number of years is close to Normal.
Real annual returns on U.S. common stocks had mean :
Standard deviation :
We assume that the past pattern of variation continues.
Let x be the random variable that represents the annual returns on common stocks over the next 32 years .
The formula for z-score :
For x= 0.14,
By using the standard normal distribution table , we have
The probability that the mean annual return on common stocks over the next 32 years will exceed 14% :-
Answer:
sure
Step-by-step explanation:
tip, add the question.
Answer:
Step-by-step explanation: