Answer:
T = 3
Step-by-step explanation:
To find the period, find the distance it takes to complete one cycle.
Answer: 
Step-by-step explanation:
Some transformations for a function f(x) are shown below:
If 
, the function is translated up "k" units.
If 
, the function is translated down "k" units.
If 
, the function is reflected across the x-axis.
If 
, the function is reflected across the y-axis.
Therefore, knowing those transformations and given the exponential parent function:
If it is reflected across the y-axis and the it is translated down 4 units, we can determine that the resulting function is:
(a) P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.11 + 0.52 + 0.19 = 0.82
(b) P(X ≥ 1) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.52 + 0.19 + 0.12 + 0.06 = 0.89
(c) µ = 0×0.11 + 1×0.52 + 2×0.19 + 3×0.12 + 4×0.06 = 1.5
(d) σ² = (0²×0.11 + 1²×0.52 + 2²×0.19 + 3²×0.12 + 4²×0.06) - µ² = 1.07
σ = √(σ²) ≈ 1.03
Answer:
A
Step-by-step explanation:
The segment BC joining the midpoints of 2 sides of the triangle is
Half the length of the third side, that is
x + 31 = 2(x + 19)
x + 31 = 2x + 38 ( subtract x from both sides )
31 = x + 38 ( subtract 38 from both sides )
- 7 = x → A
The percentile that corresponds to Z=2 is about
97.7.
