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weeeeeb [17]
3 years ago
12

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

andard deviation of 0.05 micrometer. Round your answers to 3 decimal places (e.g. 98.765). What is the probability that a line width is greater than 0.62 micrometer?
Mathematics
1 answer:
Alinara [238K]3 years ago
3 0

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.

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Alborosie

Answer:

For children ages 2 to 5, limit screen time to one hour a day of high-quality programming. As your child grows, a one-size-fits-all approach doesn't work as well. You'll need to decide how much media to let your child use each day and what's appropriate.

Step-by-step explanation:

For kids aged 2 to 5, screen time should be limited to 1 hour per day, and parents should watch the programs with their child. Also, parents should have times when screens are turned off, and bedrooms should be media-free.

7 0
3 years ago
Help me i will give you 50 points
jeyben [28]
1)  (f + g)(2) = 7 + 3 = 10  The answer   is C

2) (f - g)(4) = 11 - 15 = -4   The answer is A

3)  f(1) = 2(1) + 3 = 5             g(1) = 1² - 1 = 0 The answer is D

4) (f xg ) (1)  = 7/3 The answer is B
   

5 0
3 years ago
Read 2 more answers
A drawer contains 3 white shirts, 2 blue shirts, and 5 gray shirts. A shirt is randomly
shutvik [7]

Answer:

Probability that first shirt is white and second shirt is gray if first shirt selected is set aside = \frac{1}{4}

Step-by-step explanation:

Given that

3 white, 2 blue and 5 gray shirts are there.

To find:

Probability that first shirt is white and second shirt is gray if first shirt selected is set aside = ?

Solution:

Here, total number of shirts = 3+2+5 = 10

First of all, let us learn about the formula of an event E:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

P(First\ White) = \dfrac{\text{Number of white shirts}}{\text {Total number of shirts left}}

P(First\ White) = \dfrac{3}{10}

Now, this shirt is set aside.

So, total number of shirts left are 9 now.

P(First\ White\ and\ second\ gray) = P(First White) \times P(Second\ Gray)\\\Rightarrow P(First\ White\ and\ second\ gray) = P(First White) \times \dfrac{\text{Number of gray shirts}}{\text{Total number of shirts left}}\\\\\Rightarrow P(First\ White\ and\ second\ gray) = \dfrac{3}{10} \times \dfrac{5}{9}\\\Rightarrow P(First\ White\ and\ second\ gray) = \dfrac{1}{2} \times \dfrac{1}{2}\\\Rightarrow P(First\ White\ and\ second\ gray) = \bold{\dfrac{1}{4} }

So, the answer is:

Probability that first shirt is white and second shirt is gray if first shirt selected is set aside = \frac{1}{4}

4 0
3 years ago
What is the range of the radical function f(x) = to the square root of x-2 +4
jarptica [38.1K]

Answer:

2,∞

Step-by-step explanation:

For the range, x2 takes its minimum at x=0 , so putting in x =0 gives y=√x2+4=√0+4=2 therefore making the range [2,∞).

6 0
2 years ago
Is this answer correct?
hodyreva [135]

Answer:

No

Step-by-step explanation:

How to solve :

(a-4)/(a^2+8a+12)*(a^2-2a-48)/(a^2+4a-32)

Factor:

a^2+8a+12 = (a+6)(a+2)

a^2-2a-48 = (a-8)(a+6)

a^2+4a-32 = (a+8)(a-4)

simplify a+6, and a-4

you are left with (a-8)/(a+2)(a+8) = (a-8)/(a^2+10x+16)

8 0
3 years ago
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