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Pani-rosa [81]
3 years ago
5

5х + 34 = -2 (1 - 7x) help me solve it step by step !

Mathematics
1 answer:
nataly862011 [7]3 years ago
6 0

5x+34=-2(1-7x)

Steps:

5x+34=-2+14x
5x+34-14x= -2
-9x + 34= -2
-9x = -2-34
-9x = -36
X= -36/-9


Answer: x= 4

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A large company wanted to know how the average salary of their employees had changed over the last year. the results of their study had a p-value of 0.12and showed that the average salary had increased by $1,500 from $20,000 to $21,500. The results were practically significant but not statistically significant.
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The two triangles are similar to each other. How long is the side labeled “?”
Mandarinka [93]

Answer:

12

Step-by-step explanation:

The smaller triangle seems to have dilated and formed the larger triangle. So, let's find the factor of increase.

9 / 3 = 3, so 3 is the factor of increase.

Now we need to do 4 x 3 = 12

So, ? = 12

<em>Hope that helps!</em>

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8 0
3 years ago
Which operation gives a result of 1.39?
weeeeeb [17]
The sum of 4.35 and -5.66
5 0
3 years ago
Read 2 more answers
g Annual starting salaries in a certain region of the U. S. for college graduates with an engineering major are normally distrib
algol13

Answer:

The probability that the sample mean would be at least $39000 is of 0.8665 = 86.65%.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean $39725 and standard deviation $7320.

This means that \mu = 39725, \sigma = 7320

Sample of 125

This means that n = 125, s = \frac{7320}{\sqrt{125}}

The probability that the sample mean would be at least $39000 is about?

This is 1 subtracted by the pvalue of Z when X = 39000. So

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

By the Central Limit Theorem

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

Z = \frac{39000 - 39725}{\frac{7320}{\sqrt{125}}}

Z = -1.11

Z = -1.11 has a pvalue of 0.1335

1 - 0.1335 = 0.8665

The probability that the sample mean would be at least $39000 is of 0.8665 = 86.65%.

4 0
3 years ago
Gary applied the distributive property using the greatest common factor to determine the expression that is equivalent to 66+36.
mestny [16]

Answer:

6(11+6)

Step-by-step explanation:

Greatest common factor of 66 and 36 = 6

66+36 = 6*11 + 6*6 = 6(11+6)

5 0
3 years ago
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