What is the slope of this line

Mathematics

1 answer:

Rashid [163]4 years ago

5 0

Answer:

Slope = 2/3

Step-by-step explanation:

Slope = Change over y (rise) over change over x (run)

Pick two dot points on the line

Count how many units over they are until you get to the next dot, then count how many units up until you reach the next dot

Remember: Y runs vertically, X runs horizontally

Put the unit number that ran vertically on the top, then put the unit number that runs horizontally on the bottom

If needed simplify

The slope is 2/3

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The points obtained by students of a class in a test are normally distributed with a mean of 60 points and a standard deviation

Paraphin [41]

Answer:

0.13% of students have scored less than 45 points

Step-by-step explanation:

Problems of normally distributed samples can be solved using 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 problem, we have that:

$\mu = 60, \sigma = 5$