Determine the value of a + b in the system of equations below. 5a + 4b = 22 7a-b= 11
1 answer:
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we know that
The x-intercept is the value of the variable x when the value of the function is equal to zero
so
In the table we have
is a x-intercept, because
For the value of the function is equal to zero
is a x-intercept, because
For the value of the function is equal to zero
therefore
<u>the answer is</u>
the continuous function in the table has two x-intercepts
Answer:
There is a 0.82% probability that a line width is greater than 0.62 micrometer.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by
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. The sum of the probabilities is decimal 1. So 1-pvalue is the probability that the value of the measure is larger than X.
In this problem
The line width used for semiconductor manufacturing is assumed to be normally distributed with a mean of 0.5 micrometer and a standard deviation of 0.05 micrometer, so .
What is the probability that a line width is greater than 0.62 micrometer?
That is
So
Z = 2.4 has a pvalue of 0.99180.
This means that P(X \leq 0.62) = 0.99180.
We also have that
There is a 0.82% probability that a line width is greater than 0.62 micrometer.