Find the slope of the line containing the points whose coordinates are (2, 3) and (4, 3).

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

4 0

Answer: 0

Step-by-step explanation:

Use the following formula:

$\frac{y2 - y1}{x2 - x1}$

Plug in the coordinates:

$\frac{3-3}{4-2}$ = 0

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Benford's Law states that the probability that the first decimal-digit of a raw data sample (from 1 to 9) is given

patriot [66]

Answer: P(4) = 0.097

$\bold{\sum_{m=1}^9=1}$

<u>Step-by-step explanation:</u>

$P(m)=\log(m+1)-\log(m)\\\\.\qquad =\log\bigg(\dfrac{m+1}{m}\bigg)\qquad \text{(using rules for condensing logs)}\\\\\\P(4)=\log\bigg(\dfrac{4+1}{4}\bigg)\\\\\\.\qquad =\log\bigg(\dfrac{5}{4}\bigg)\\\\\\.\qquad =\large\boxed{0.097}$

$\sum_{m=1}^9\log\bigg(\dfrac{m+1}{m}\bigg)\\\\\\.\qquad =\log\bigg(\dfrac{2}{1}\bigg)+\log\bigg(\dfrac{3}{2}\bigg)+...\log\bigg(\dfrac{9}{8}\bigg)+\log\bigg(\dfrac{10}{9}\bigg)\\\\\\.\qquad =\log\bigg(\dfrac{2}{1}\bigg)\bigg(\dfrac{3}{2}\bigg)...\bigg(\dfrac{9}{8}\bigg)\bigg(\dfrac{10}{9}\bigg)\qquad \text{(using rules for condensing logs)}\\\\\\.\qquad =\log\bigg(\dfrac{10!}{9!}\bigg)\\\\\\.\qquad =\log(10)\\\\\\.\qquad =\large\boxed{1}$