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Alenkasestr [34]
3 years ago
13

The percentage of water in an unknown hydrate was determined by heating the sample and driving the water off the sample. Two ind

ependent measurements gave values of 19.564% and 21.731%. Its percentage should be reported as:
Mathematics
1 answer:
Bas_tet [7]3 years ago
8 0

Answer:

It should be reported as 20.648%

Step-by-step explanation:

Since we have 2 different observed values hence we shall use an average of the 2 values to report the result

Thus value is \frac{19.564+21.731}{2}=20.6475%

As we can see that the least count of our observations is upto 3 decimal places hence we have to report a result upto only 3 decimal places thus we need to round off the fourth decimal place thus the digit shall be increased by 1 since we have to drop off 5 and the digit before 5 is 7 which is an odd number.

Thus the result shall be 20.648%

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The line width used for semiconductor manufacturing is assumed to be normally distributed with a mean of 0.5 micrometer and a st
Alinara [238K]

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 \mu and standard deviation \sigma, the zscore of a measure X is given by

Z = \frac{X - \mu}{\sigma}

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 \mu = 0.5, \sigma = 0.05.

What is the probability that a line width is greater than 0.62 micrometer?

That is P(X > 0.62)

So

Z = \frac{X - \mu}{\sigma}

Z = \frac{0.62 - 0.5}{0.05}

Z = 2.4

Z = 2.4 has a pvalue of 0.99180.

This means that P(X \leq 0.62) = 0.99180.

We also have that

P(X \leq 0.62) + P(X > 0.62) = 1

P(X > 0.62) = 1 - 0.99180 = 0.0082

There is a 0.82% probability that a line width is greater than 0.62 micrometer.

3 0
3 years ago
Help me plss need help with theses three
fiasKO [112]
interior angle of a regular 18-gon.
It is easier to calculate the exterior angle of a regular polygon of n-sides (n-gon) by the relation
exterior angle = 360/n
For a 18-gon, n=18, so exterior angle = 360/18=20 °
The value of each interior angle is therefore the supplement, or
Interior angle = 180-20=160 degrees.

Naming of a 9-gon
A polygon with 9 vertices is called a nonagon (in English) or enneagon (French ennéagone, but the English version is sometimes used)
You had a good start with the correct answer.

Exterior angle of a 15-gon
The exterior angle of a 15-gon can be calculated using the relation given in the first paragraph, namely
Exterior angle = 360/15=24 degrees
4 0
3 years ago
The point of concurrency of the three medians of a triangle is called the ______ of the triangle.
SIZIF [17.4K]
<span>The point of concurrency of the three medians of a triangle is called the orthocenter of the triangle.</span>
3 0
3 years ago
Why is it important to consider scale when graphing inequalities?
tigry1 [53]
<span>If two numbers on a graph differ by 1, without scale, the amount of inequality could vary infinitely. If the scale is 2, a difference of 1 is half the scale amount, but if the scale is 1000, the difference may be negligible. It is the scale that shows the degree to which the entries differ.</span>
4 0
3 years ago
PLZZZZZZZZZZZZ HELP THIS DUE RIGHT NOW AND I CAN'T FAIL MATH PLZZZZZZZZ
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The sum is 45577788999000866;33sorry
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