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AVprozaik [17]
3 years ago
11

What does 6x − 9 = 45 equal?

Mathematics
2 answers:
ale4655 [162]3 years ago
6 0

Answer:

x = 9

Step-by-step explanation:

  1. Add 9 to each side to begin simplifying. It should now look like this:      6x = 54
  2. Now, divide each side by 6 to find the value of x. It should look like this:     x = 9

I hope this helps!

Westkost [7]3 years ago
4 0

Answer:

9

Step-by-step explanation:

Add nine to both sides:

6x = 54

Divide by six:

\frac{6x = 54}{6}

x = 9

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Alvin is 9 years older than Elga. The sum of their ages is 89. What is Elga's age?
Mekhanik [1.2K]

Answer:

Alvin: 49

Elga: 40

Step-by-step explanation:

  1. The equation is 89 = x + (x-9).
  2. Remove the parenthesis and combine the like terms. 89 = 2x - 9
  3. Add 9 on both sides. 98 = 2x
  4. Divide by 2 on both sides. x = 49
  5. 49 is the age of Alvin. (49-9) 40 is the age of Elga.
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My Notes A large manufacturing plant uses lightbulbs with lifetimes that are normally distributed with a mean of 1600 hours and
Evgen [1.6K]

Answer:

The bulbs should be replaced each 1436.9 hours.

Step-by-step explanation:

Problems of normally distributed samples are 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}

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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 1600, \sigma = 70

How often should the bulbs be replaced so that no more than 1% burn out between replacement periods?

This is the first percentile of hours. So it is X when Z has a pvalue of 0.01.

So it is X when Z = -2.33.

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

-2.33 = \frac{X - 1600}{70}

X - 1600 = -2.33*70

X = 1436.9

The bulbs should be replaced each 1436.9 hours.

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3 years ago
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A prime number has only two factors.  They are ' 1 ' and itself.
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