Probability of divisibility by3=4/11
probability of divisibility by 12 =1/11
probability of divisibility by 12 and 3=4/11×1/11
answer is 4/121
The apple is cut into 10 pieces so each piece is 1/10 of the apple. 1/10=.1; .8=8/10 so 8 pieces are eaten. 2 pieces are left which is 2/10 of the apple which simplifies to 1/5 because 2 and 10 are both divisible by 2. 2 divided by itself is 1 and 10 divided by 2 is 5. So the amount of the apple left in simplest form of a fraction is 1/5.
Answer:
3.045%.
Step-by-step explanation:
We are asked to find the corresponding effective interest rate for 3% per year compounded continuously.
We will use effective interest formula to solve our given problem.
, where,
r = Effective interest rate,
e = Mathematical constant,
r = Interest rate in decimal form.
Let us convert given interest rate in decimal form.
Substitute values:
Convert into percentage:
Therefore, the corresponding interest rate would be 3.045%.
Answer:
g(4) = -11
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
Step-by-step explanation:
<u>Step 1: Define</u>
g(x) = -2x - 3
x = 4
<u>Step 2: Evaluate</u>
- Substitute: g(4) = -2(4) - 3
- Multiply: g(4) = -8 - 3
- Subtract: g(4) = -11
