Which three side lengths will NOT form a triangle?

In a large sample of customer accounts, a utility company determined that the average number of days between when a bill was sen

vaieri [72.5K]

Answer:

Approximately 95% of the numbers of days will be between 26 and 58.

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 42

Standard Deviation, σ = 8

We are given that the distribution of average number of days between a bill is a bell shaped distribution that is a normal distribution.

Empirical Formula:

According to Empirical formula almost all the data lies within three standard deviation of man for a normal distribution.
Almost 68% of data lies within 1 standard deviation of mean.
Almost 95% of data lies within two standard deviation of mean.
Almost 99.7% of data lies within three standard deviation of mean.

Thus, by Empirical formula 95% of data lies within two standard deviation.

$\mu \pm 2(\sigma) \\=42 \pm 2(8)\\=42 \pm 16\\=(26, 58)$

Thus, approximately 95% of the numbers of days will be between 26 and 58.

8 0

3 years ago

Three rational numbers between 5/31 and 6/31

Ludmilka [50]

Answer:

$\dfrac{26}{155}$ , $\dfrac{27}{155}$ , and $\dfrac{28}{155}$ .

Step-by-step explanation:

What is a rational number? By definition, a rational number can be represented as the fraction of two integers.

The goal is to find three fractions in the form $\dfrac{p}{q}$ between $\dfrac{5}{31}$ and $\dfrac{6}{31}$ .

$\dfrac{5}{31} < \dfrac{p}{q} < \dfrac{6}{31}$ .

At this moment, there doesn't seems to be a number that could fit. The question is asking for three of these numbers. Multiple the numerator and the denominator by a number greater than three (e.g., five) to obtain

$\dfrac{25}{155} < \dfrac{p}{q} < \dfrac{30}{155}$ .