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3 years ago

Identify the correct property of equality to solve each equation. 3 + x = 27

Mathematics

2 answers:

Sindrei [870]3 years ago

7 0

For this case we must solve the following equation:

$3 + x = 27$

Subtracting "3" on both sides of the equation we have:

$3 + x-3 = 27-3\\x = 24$

Answer:

We observe the property of equality of subtraction

blondinia [14]3 years ago

5 0

Answer:

x = 24

Step-by-step explanation:

look.

3 + x = ------------27

x = ---------------?

22 + 3 = 25

23 + 3 = 26

24 + 3 = 27

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Answer:

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Step-by-step explanation:

Normal Probability Distribution

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

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

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.

The distribution for the amount of beer dispensed by the machine follows a normal distribution with a standard deviation of 0.17 ounce.

This means that $\sigma = 0.17$

The company can control the mean amount of beer dispensed by the machine. What value of the mean should the company use if it wants to guarantee that 98.5% of the bottles contain at least 12 ounces (the amount on the label)?

This is $\mu$ , considering that when $X = 12$ , Z has a p-value of $1 - 0.985 = 0.015$ , so when $X = 12, Z = -2.17$ .

Then

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$-2.17 = \frac{12 - \mu}{0.17}$

$12 - \mu = -2.17*0.17$

$\mu = 12 + 2.17*0.17$

$\mu = 12.37$

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