What is the slope of a line that contains the two points (4, 6) and (2,-5)?

Mathematics

2 answers:

timama [110]2 years ago

8 0

The slope of the line that contains these two points is m = 11/2

Ber [7]2 years ago

4 0

Use the formula:
m = (y2 -- y1) / (x2 -- x1).

First, do -5 - 6, which equals -11.
Next, do 2 - 4, which equals -2.
Finally, divide -11 / -2 to find the slope.

You should get 5.5 as your answer.

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iragen [17]

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2 years ago

A worn, poorly set-up machine is observed to produce components whose length X follows a normal distribution with mean 14 centim

Akimi4 [234]

Answer:

74.86% probability that a component is at least 12 centimeters long.

Step-by-step explanation:

Problems of normally distributed samples are 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:

$\mu = 14$