Answer:
C
Step-by-step explanation:
Given f(x) then f(x + a) represents a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
Thus
g(x) = (x - 4)² represents a horizontal translation to the right of f(x) by 4 units.
Answer:
a. Probability distribution is given below
Scores Ex, x. 1 2 3 4 5
P(X=x). 0.05 0.09 0.03 0.42 0.41
b. Scores mg, Y 1. 2. 3. 4. 5
P(Y=y). 0.04. 0.1. 0.12 0.46 .28
c. probability that a randomly selected senior executive will report a job satisfaction score of 4 or 5.
P(4 or 5) =p(x=4) +p(x=5)
= 0.42 + 0.41=0.83
Answer:
106
Step-by-step explanation:
The area of one of the triangles is 1/2*5*3
The area is 7.5, but there are 2 triangles so the combined area is 15
The area for whole rectangle is 7*(5+3+5)=7*13=91
So the total area is 91+15= 106
Answer:
254.94
Step-by-step explanation:
The distance between the helicopter and the first home is 369. 87 m
<h3>How to solve the distance using the angle of depression?</h3>
The distance between the helicopter and the first home can be found using sine law,
Hence,
180 - 72 - 49 = 59 degrees.
Therefore,
420 / sin 59 = A / sin 49°
where
- A = distance form the first home to the helicopter.
cross multiply
420 sin 49 = A sin 59°
A = 420 sin 49 / sin 59
A = 316.978023694 / 0.8571673007
A = 369.869339199
A = 369. 87 m
Therefore, the distance between the helicopter and the first home is 369. 87 m
learn more on angle of depression here: brainly.com/question/1976859
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