If <em>x</em> = -1, you have
2(-1) + 3 cos(-1) + <em>e</em> ⁻¹ ≈ -0.0112136 < 0
and if <em>x</em> = 0, you have
2(0) + 3 cos(0) + <em>e</em> ⁰ = 4 > 0
The function <em>f(x)</em> = 2<em>x</em> + 3 cos(<em>x</em>) + <em>eˣ</em> is continuous over the real numbers, so the intermediate value theorem applies, and it says that there is some -1 < <em>c</em> < 0 such that <em>f(c)</em> = 0.
Answer: 21
Step-by-step explanation:
Answer:2
Step-by-step explanation:
Answer:
0.789
Step-by-step explanation:
First, find the expected value (the mean).
μ = ∑ x P(x)
μ = (0) (0.359) + (1) (0.436) + (2) (0.180) + (3) (0.025)
μ = 0.871
Next, find the variance.
σ² = ∑(x − μ)² P(x)
σ² = (0 − 0.871)² (0.359) + (1 − 0.871)² (0.436) + (2 − 0.871)² (0.180) + (3 − 0.871)² (0.025)
σ² = 0.622
Finally, find the standard deviation:
σ = √0.622
σ = 0.789
