erikap0889
19.05.2021 •
Mathematics
What is the value of x ?
please help me!!!
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Ответ:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
Step-by-step explanation:
Ответ:
x=14
Step-by-step explanation:
4x+2x+6=90
6x=84
x=84/6=14
Ответ:
0.0409 = 4.09% probability that the company will receive more than 20 calls per hour
Step-by-step explanation:
To solve this question, we need to understand the Poisson distribution and the normal distribution.
Poisson distribution:
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 interval, which is the same as the variance.
Normal distribution:
When the distribution is normal, we use the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The normal approximation can be used to a Poisson distribution, with
Computer Help Hot Line receives, on average, 14 calls per hour asking for assistance.
This means that .
Then
What is the probability that the company will receive more than 20 calls per hour?
Using continuity correction, this is , which is 1 subtracted by the pvalue of Z when X = 20.5. So
has a pvalue of 0.9591
1 - 0.9591 = 0.0409
0.0409 = 4.09% probability that the company will receive more than 20 calls per hour