Answer:
Choice A. P = I² · R where
- P is the power in the DC circuit,
- I is the current through the circuit, and
- R is the total resistance of the circuit.
Step-by-step explanation:
Electrical power is the rate at which the electrical force does work. So what is electrical work? That's the work 
that the electrical force do when it moves charges 
across a potential difference 
:
W = 
.
The power is the rate at which the electrical force do the work:
.
On the other hand, current 
is the charge through a cross-section of the circuit in unit time. By the definition of current:
.
.
Consider Ohm's Law:
.
Therefore
.
Part A
Use the binomial probability distribution formula.
p = 0.54 = probability of getting a purple marble
n = 5 = sample size
x = 2 = number of purple we want to get
The 
portion is from the nCr combination formula. The exclamation marks indicate a factorial.
Alternatively, you could use Pascal's Triangle for that portion.
<h3>Answer: 0.283831776</h3>
This decimal value is exact. Round it however you need to.
============================================================
Part B
To find the expected value, aka the mean, we multiply the sample size and probability of getting a purple marble on any single selection.
n*p = 5*0.54 = 2.7
<h3>Answer: 2.7</h3>
The highest power of 12 that divides 273 (with remainder) is
, and dividing gives
Divide the remainder term by the next highest power of 12,
.
So
, since
Answer:
(-2,1)
Step-by-step explanation:
Answer:
tan -1 (8/10)
Step-by-step explanation:
hope it helps :3
