This question is a little tricky. Carla had a bill of $15, which we will add to the cost of Rob's lunch. They left a 20% tip on the TOTAL cost of both their lunches, which should equal $6. 20% is equivalent to 0.2. So, the equation is 6=0.2(x+15). In other words, 20% of the sum of Carla and Rob's lunches is 6 dollars.
Answer: 6=0.2(x+15)
Answer:

The best option is:
B.7.82
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Data given
represent the real population proportion for residents born in Colorado
represent the estimated proportion for rsidents born in Colorado
is the sample size selected
Solution to the problem
Let X the random variable of interest (number of residents in the sample), on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
The expected value is given by this formula:

And the standard deviation for the random variable is given by:

The best option is:
B.7.82
Answer:
Choice C
Step-by-step explanation:

Divide both sides by -3.55; remember that by dividing both sides of an inequality by a negative sign, you need to change the direction of the inequality sign.


Answer: Choice C
9514 1404 393
Answer:
4096∠0°
Step-by-step explanation:
The polar form of the base value is 2∠120°. Then the 12-th power is ...
(2^12)∠(12×120°) = 4096∠0° . . . . or θ = 0 radians, as you wish
_____
I prefer the simpler notation r∠θ, rather than ...
r(cos(θ) +i·sin(θ)) or r·cis(θ) or r·e^(iθ)
You might not see this notation very often in areas outside of electrical engineering.