Answer:
125°
Step-by-step explanation:
The angle marked f° is called an "external angle" of the triangle. Relative to that external angle, the two internal angles marked 44° and 81° are called "remote internal angles." Because f° and the adjacent internal angle are supplementary (add to 180°), and because all of the internal angles of the triangle add to 180°, the measure of f is equal to the sum of the remote interior angles:
f° = 44° + 81°
f° = 125°
Answer:
b = -a
Step-by-step explanation:
We know that:
On a number line, the distance between 0 and b is the same distance that between 0 and a (but b and a are in opposite sides of zero).
And we know that, for example, when:
b = 2, a = -2
Remember that the distance between two values is given by:
|n - m|
Then the distance between 0 and b is:
|0 - b|
and the distance between 0 and a is:
|0 - a|
we have:
|-b| = |-a|
|b| = |a|
But the numbers are in opposite sides of the zero, so one must be positive and the other negative, then we can conclude that:
b = -a
or
-b = a
(these are equivalent)
Then the correct option is the first option:
b = -a
Answer:
Standard deviation is 25.4
Step-by-step explanation:
The standard deviation is a metric that determines the variance a set of data has both above and below the mean. A standard deviation of 25.4 means that the values in a given data set are dispersed in a range of 25.4 units both above and below the mean.
The standard error refers to the Standard Error of the Mean (SEM) which measures the precision of the mean in terms of how much a sample mean is likely to differ from the population mean. By using SEM, individuals can estimate how sure they can be that the mean of the sample reflect the true mean of the population. The standard error always is lower than the standard deviation. Since, 25.4 is the higher number, this number would be the standard deviation.
Answer:
18.88% probability that three or four customers will arrive during the next 30 minutes
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given time interval.
Average rate of 6.4 per 30 minutes.
This means that 
What is the probability that three or four customers will arrive during the next 30 minutes?
18.88% probability that three or four customers will arrive during the next 30 minutes
