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dmitriy555 [2]
3 years ago
15

What makes values of a and b make each inequality true? -ab>0, ab<0, a^2b>0, a/b>0

Mathematics
1 answer:
max2010maxim [7]3 years ago
7 0
-ab>0 is the answer cause the others make 0 not to be simplified 
  
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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
For every 15 students there are 3 teachers in the school. Based on this information, about how many teachers are in a school wit
Yuliya22 [10]
This means for every 5 students there will be 1 teacher so 550/5=110
So answer is 110 teachers
3 0
2 years ago
Read 2 more answers
HELP ME ASAP.
slavikrds [6]

Answer:

The first number lets say is x

the second is y so

y=1/2x+8

x+1/2x+8=58

1 1/2x=50

x= 33 1/3

Hope This Helps!!!

6 0
3 years ago
Read 2 more answers
A substance that is made of atoms of more than one type bound together is called a(n) ____________________ .
qaws [65]
<span>❅b. compound
Compound is a substance that is made of atoms of more then on type bound together. </span><span />
7 0
3 years ago
How do you solve for sides a and b of a triangle when you know the value of c?
sasho [114]
Assuming you have some angle measures, you could use the Law of Sines to solve for the missing side lengths, which states that,
\frac{a}{sinA}= \frac{b}{sinB}= \frac{c}{sinC},
where a, b, and c correspond to the given sides you have, and A, B, and C represent the angles you have.

In this scenario, you would have to have the values for c (which we do), and have the angle measure of C. In addition, we would also need an angle measure that is either A or B.

Hope this helps a bit!

:)

7 0
3 years ago
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