The correct answer is Choice B: 0.3098.
To find the answer, you have to use a normal distribution table. Look up the percents for each z-score and subtract them to find the region between.
z = 1.92 the percent is 0.9726
z = 0.42 the percent is 0.6628
0.9726 - 0.6628 = 0.3098
Answer:
b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The mean of the uniform probability distribution is:

The standard deviation of the uniform distribution is:

The probability that we find a value X lower than x is given by the following formula.

Uniform distribution between 2.93 and 3.1 volts
This means that
. So
Mean:

Standard deviation:

What is the probability that a battery has a voltage less than 2.98?

So the correct answer is:
b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941
If you apply the or both
Only 1 of the students would need to know the "or both", therefore maximizing the remaining amount of students you can put in.
Gerald, let's call him, knows French AND German, so there's only one less student that knows french and german. Gerald is 1 student.
MAXIMUM:
There are now 14 monolinguistic French speakers and 16 monolinguistic German's, 30 students + Gerald=31.
Minimum:
As a bonus, the minimum is 15 students knowing french AND German and only 2 monolinguistic German speakers, so 17.
Answer:
$240
Step-by-step explanation:
Let x = the original price:
x - 0.2x = 192
0.8x = 192
x = 240
Answer:
90 degrees
Step-by-step explanation:
angle b is 180-90-56=34 degrees
that means angle c is also 34 degrees.
56+34=90, thus angle BCE is also 90 degrees