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2 years ago

Solve for x. Write the smaller solution first, and the larger solution second. (x -4)(-5x +1)=0

Mathematics

2 answers:

Vesnalui [34]2 years ago

4 0

The product of the two is 0, so one of them have to equal 0 as any number multiplied by 0 is 0.

First solution: x - 4 = 0

If x - 4 = 0, then x = 4. So the first solution for x is 4.

Second Solution: -5x + 1 = 0

Solving...

-5x + 1 = 0

-5x = -1

x = -1/-5

x = 1/5 or 0.2

So x = 0.2 and 4

Liula [17]2 years ago

4 0

Answer: smaller x= 1/5

Larger x=4

Step-by-step explanation:

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2 years ago

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.

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

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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 $\mu = 0.5, \sigma = 0.05$ .