Which two values are located at the same point on a number line? 1/2 and 2 , 2/2 2 , 2/1 2 , 2/1 and 1

Mathematics

1 answer:

grandymaker [24]3 years ago

8 0

Answer: $\frac{2}{2},1\ \text{and}\ \frac{2}{2},1$

Step-by-step explanation:

$\Rightarrow \dfrac{2}{2}\ \text{is equivalent to 1}$

$\text{So, }\ \dfrac{2}{2},2\ \text{is equivalent to 1,2}$

$\text{Similarly, }\ \dfrac{2}{1},1\ \text{represents 2,1 or 1,2}$

$\text{So,}\ \frac{2}{2},1\ \text{and}\ \frac{2}{2},1\ \text{are represents same on number line.}$

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Scores for a common standardized college aptitude test are normally distributed with a mean of 506 and a standard deviation of 1

aleksandrvk [35]

Answer:

25.14% probability that his score is at least 582.5.

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

$\mu = 506, \sigma = 114$