ANSWER
See explanation.
EXPLANATION
We want to very the identity:
Let us take the Left hand side and work it out to get the right hand side.
Recall the Pythagorean Identity:
Make cos²(x) the subject.
We substitute this into our expression to get:
Expand:
Simplify
We can rewrite to get;
Therefore:
A probability experiment is conducted in which the sample space of the experiment is S={7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17,
Airida [17]
Answer:
Step-by-step explanation:
Given
Solving (a): Outcomes of F or G
F or G is the list of items in F, G or F and G.
So:
Solving (b): P(F or G)
The general addition rule is:
Where:
So:
The simple interest is 135$ per year, or 675$ total.
The compounded interest is 135$ the first year, 141.08$ the second year, 147.42$ the third year, 154.06$ the fourth year, and 160.99$ the fifth year, or 378.55$ total.