Answer:
<em>P(B) = 0.46</em>
Step-by-step explanation:
<u>Probability</u>
The complementary event of a given event A is defined as "not A" or the event that A does not occur.
For example, if A is defined as 'getting a job', then the complement of A is 'not getting a job'.
Event A and its complementary event (call it B) must satisfy:
P(A) + P(B) = 1
If we know P(A)=0.54, then
P(B) = 1 - P(A)
P(B) = 1 - 0.54
P(B) = 0.46
Answer:
$13.20/hr
Step-by-step explanation:
A 10% wage increase would amount to 0.10($12) = $1.20. Adding this increase to the starting rate $12/hr results in $13.20/ hr.
A faster way in which to do this is shown below:
Wages after a 10% increase = (1.10)($12/hr) = $13.20/hr
To answer this question, we can set up a proportion:
Then we cross multiply and solve for x:
So you can drink 7.5 oz of the Dr. Pepper in one day.
Answer:
Maximum Value: ∞
General Formulas and Concepts:
<u>Calculus</u>
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x² + x³
<u>Step 2: Find Derivative</u>
- Basic Power Rule: f'(x) = 2 · 3x²⁻¹ + 3 · x³⁻¹
- Simplify: f'(x) = 6x + 3x²
<u>Step 3: Analyze</u>
We see that our derivative is the graph of some sort of parabola. The parabola would be opening upwards.
Therefore, the maximum value of the derivative would be ∞, as the parabola's output <em>y</em> infinitely increases.
