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nikklg [1K]
3 years ago
12

Two fifths of one less than a number is less than three fifths of one more than that number .what numbers are in the solution se

t of this problem?
Mathematics
1 answer:
Lelechka [254]3 years ago
5 0

2/5(x - 1) < 3/5(1 + x)

To find the solution, we can use the distributive property to simplify.

2/5x - 2/5 < 3/5 + 3/5x

Multiply all terms by 5.

2x - 2 < 3 + 3x

Subtract 2x from both sides.

-2 < 3 + x

Subtract 3 from both sides.

-5 < x

<h3><u>The value of x is greater than the value of -5.</u></h3>
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Step-by-step explanation:

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The correct answer is:

There is a positive correlation because women's weight tend to increase when height increases (D)

Step-by-step explanation:

The units that might be used to measure each variable are:

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weight : kilograms (kg) or Pounds (lb)

A positive correlation is said to occur between two variables when they both move in the same direction, that is, when they both increase or decrease, while a negative correlation occurs when the movement is not in tandem, i.e, as one increases, the other decreases. The relationship between height and weight is a positive correlation because, an increase in height, which is mainly as a result of elongation of bones, leads to an accumulated increase in total body mass, which in turn increases the body weight.

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Step-by-step explanation:


3 0
3 years ago
Keisha is walking around a track that is 400 yards long. She has walked around the track 5 times so far. How many more yards doe
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3 years ago
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
2 years ago
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