Answer:
The answer is C.
Step-by-step explanation:
I would simplify the expression first.
Equation: (6m^-1)^-3
You can get rid of n^0 because that equals 1.
Any expression raised to the power of -1 equals its reciprocal.
Equation: (6/m)^-3
Equation: (m/6)^3
Final Equation: m^3/216
Now, plug in 3.
(3)^3/216.
27/216 = 1/8
Hope this helps!
Answer:
Step-by-step explanation:
Answer:
1.43%
Step-by-step explanation:
we have that we can solve it by means of binomial, in this case m = 25. Also the probability of head is 50%. we need to know when it falls 7 times, therefore x = 7
the formula is:
P (x) = mCx * p ^ x * q ^ (m-x)
we know that p is 0.5 therefore q is equal to 0.5, replacing:
P (7) = 25C7 * 0.5 ^ 7 * 0.5 ^ (25-7)
P (7) = 25! / (7! * (25-7)!) * 0.5 ^ 7 * 0.5 ^ (25-7)
P = 0.0143
that is, the probability is 1.43%
D is under multiplication
Answer:
g(f(x)) = 6x - 14
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
g(x) = 3x + 1
f(x) = 2x - 5
<u>Step 2: Find</u>
- Substitute: g(f(x)) = 3(2x - 5) + 1
- Distribute 3: g(f(x)) = 6x - 15 + 1
- Combine like terms: g(f(x)) = 6x - 14
