Answer:
The composite function;
f(g(x) = 2x^2 + 15
Step-by-step explanation:
Given f(x) = 2x + 1 and g(x) = x^2 + 7;
we are tasked with calculating f(g(x))
This represents a composite function where we substitute g(x) into f(x)
Consequently, we find
f(g(x)) = 2(x^2 + 7) + 1
f(g(x)) = 2x^2 + 14 + 1
f(g(x)) = 2x^2 + 15
Response:
B: 32 cm
To clarify, one should only sum the external measurements
6+6+4+4+3+3+3+3=32 cm
Answer:
0.047
Detailed breakdown:
Using a Poisson distribution with a mean m, for an area of 0.5 square meters = 1.5
The formula to determine the probability is given by
P[k] = (e^-m * m^k) k!
Thus, we can calculate
P[4] = [(e^-1.5) * (1.5^4)] ÷ 4 * 3 * 2 * 1
= (0.2231301601 * 5.0625) ÷ 24
= (1.12944375) ÷ 24
≈ 0.04706
≈ 0.047
Therefore, the final result is 0.047
