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UNO [17]
3 years ago
12

Write the opposite polynomial for -3x ^3+12x-4

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
8 0

Answer:

3x³ - 12x + 4  

Step-by-step explanation:

The opposite of a polynomial P is -P.

You find the opposite of P by multiplying it by -1.

 P = -3x³ + 12x - 4

-P = (-1)( -3x³ +       12x   -      4)     Distribute -1 to each term

    = (-1)(-3x³) + (-1)(12x)  - (-1)(4)     Multiply each coefficient by -1

    =       3x³  +     (-12)x -     (-4)

   =       3x³  -        12x   +     4

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36x^4y* y^5

Step-by-step explanation:

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3 years ago
n automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally di
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Answer:

0.3557 = 35.57% probability that one selected subcomponent is longer than 118 cm.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. 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, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean of 116 cm and a standard deviation of 5.4 cm.

This means that \mu = 116, \sigma = 5.4

Find the probability that one selected subcomponent is longer than 118 cm.

This is 1 subtracted by the pvalue of Z when X = 118. So

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

Z = \frac{118 - 116}{5.4}

Z = 0.37

Z = 0.37 has a pvalue of 0.6443

1 - 0.6443 = 0.3557

0.3557 = 35.57% probability that one selected subcomponent is longer than 118 cm.

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3 years ago
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