Answer:
80%
Step-by-step explanation:
convert to percent:

Answer:
Third option, last one
Step-by-step explanation:
Let's solve for x first.
|2x| - 12 = -2
|2x| = 10
2x = 10 or -2x = 10
x = 5 or x = -5
The number line that represents this is the last one.
Answer:
Where
and
Then we have:
With the following parameters:


Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the number of cars running a red light of a population, and for this case we know the distribution for X is given by:
Where
and
Since the distribution for X is normal then we know that the distribution for the sample mean
is given by:
With the following parameters:


Answer:
2(1 - 6x)
Step-by-step explanation:
2-12x
Common factor: 2
Factored equation:
2(1 - 6x)
First, let's define the variables d and q as follows:
d: total number of dimes
q: total number of quarters.
"Joan has an equal number of dimes and quarters" means that d=q.
"...with <span>with a total value of $1.40</span>" means that
0.1 d + 0.25 q =1.40. ***
This is because Joan has a total of d dimes each with a value of 0.1$, and a total of q quarters, each with a value of 0.25.
Since d=q, we can write the equation *** as:
0.1 q +0.25 q=1.40
0.35 q=1.40
q=1.40/0.35 = 4.
Thus, Joan has a total of 4 quarters, and 4 dimes.
Answer: 8 coins.