Question 6 Find the distance between A (-1, 2) and B(-4, 6). units

Mathematics

1 answer:

svetoff [14.1K]1 year ago

6 0

(-3, 4) is the answer

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Find the value of the expression 9.18 · z for z = 2.

loris [4]

Answer: 18.36

Step-by-step explanation:

Replace "z" with "2":

$9.18 \cdot 2 = \boxed{18.36}$ .

8 0

2 years ago

The lengths of nails produced in a factory are normally distributed with a mean of 4.84 centimeters and a standard deviation of

Helga [31]

Answer:

Top 3%: 4.934 cm

Bottom 3%: 4.746 cm

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:

$\mu = 4.84, \sigma = 0.05$