Jamar is factoring 90x-15. Find his mistake and correct it

Mathematics

2 answers:

Ymorist [56]3 years ago

6 0

You cant factor by 9 because 15 cant be factored by 9. you can factor it by 5 and get 18x - 3 might want to check my answer

STatiana [176]3 years ago

5 0

Answer: 15(6x - 1)

Step-by-step explanation: Jamar had a great start, by figuring out the factors of both 90 and 15; of which he picked 15.

What he got wrong was failing to do same to the value 15 exactly what he did to 90x.

To put it right, here is how to go about it:

90x - 15

Factor of both 90 and 15 is 15

Therefore:

15 (6x - 1)

This is correct. You can as well expand the result to check.

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