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docker41 [41]
3 years ago
11

the equation 25-3.99p represents the amount of money itzel has left over after buying p bottles of nail polish. what does the co

efficient 3.99 represent in this context
Mathematics
1 answer:
valina [46]3 years ago
7 0

Answer:

The coefficient 3.99 represent the cost of one bottle of nail polish.

Step-by-step explanation:

Given:

The equation to represent the amount of money left after buying 'p' bottles of nail polish is given as:

25-3.99p

The remaining amount with Itzel can be calculated as:

Remaining amount = Initial amount - Cost of 'p' bottles.

The above expression tells us two things:

1. Initial amount of money Itzel has was 25.

2. The cost of 'p' bottles of nail polish is 3.99p.

Therefore, the cost of one bottle is calculated using the unitary method is given as:

\textrm{Cost of 1 bottle}=\frac{\textrm{Cost of 'p' bottles}}{\textrm{Number of bottles}}\\\\\textrm{Cost of 1 bottle}=\frac{3.99p}{p}=3.99

Therefore, cost of 1 bottle of nail polish is 3.99. Hence, coefficient 3.99 represent the cost of one bottle of nail polish.

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The results of a common standardized test used in psychology research is designed so that the population mean is 155 and the sta
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Answer:

The value <em>155</em> is zero standard deviations from the [population] mean, because \\ x = \mu, and therefore \\ z = 0.

Step-by-step explanation:

The key concept we need to manage here is the z-scores (or standardized values), and we can obtain a z-score using the next formula:

\\ z = \frac{x - \mu}{\sigma} [1]

Where

  • z is the <em>z-score</em>.
  • x is the <em>raw score</em>: an observation from the normally distributed data that we want <em>standardize</em> using [1].
  • \\ \mu is the <em>population mean</em>.
  • \\ \sigma is the <em>population standard deviation</em>.

Carefully looking at [1], we can interpret it as <em>the distance from the mean of a raw value in standard deviations units. </em>When the z-score is <em>negative </em>indicates that the raw score, <em>x</em>, is <em>below</em> the population mean, \\ \mu. Conversely, a <em>positive</em> z-score is telling us that <em>x</em> is <em>above</em> the population mean. A z-score is also fundamental when determining probabilities using the <em>standard normal distribution</em>.

For example, think about a z-score = 1. In this case, the raw score is, after being standardized using [1], <em>one standard deviation above</em> from the population mean. A z-score = -1 is also one standard deviation from the mean but <em>below</em> it.

These standardized values have always the same probability in the <em>standard normal distribution</em>, and this is the advantage of using it for calculating probabilities for normally distributed data.

A subject earns a score of 155. How many standard deviations from the mean is the value 155?

From the question, we know that:

  • x = 155.
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Having into account all the previous information, we can say that the raw score, <em>x = 155</em>, is <u><em>zero standard deviations units from the mean.</em></u> <u><em>The subject   earned a score that equals the population mean.</em></u> Then, using [1]:

\\ z = \frac{x - \mu}{\sigma}

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\\ z = \frac{0}{50}

\\ z = 0

As we say before, the z-score "tells us" the distance from the population mean, and in this case this value equals zero:  

\\ x = \mu

Therefore

\\ z = 0

So, the value 155 is zero standard deviations <em>from the [population] mean</em>.

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