Determine whether the following events are mutually exclusive.

Mathematics

1 answer:

anygoal [31]3 years ago

6 0

Answer:

Yes they are mutually exclusive

Step-by-step explanation:

Yes, both of the events are mutually exclusive because each student has only one major and therefore can't select both Maths and finance majors at the same time.

Thus, they are mutually exclusive of each other.

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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

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Answer: P(4) = 0.097

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

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

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

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

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3 years ago

A children's pool contains 17,500 milliliters. How many liters are in the pool

OlgaM077 [116]

Answer:

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Step-by-step explanation:

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Answer:

The answer is 40 sq. units

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1/2×10×8

= 40

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The equation shown presented how to convert degrees Celcius to degrees Fahrenheit. In order to get and solve for F given the equation, these are the steps.

C = [5 * (F-32)] / 9
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9C + 160 = 5F
5F = 9C + 160
F = (9C / 5) + (160 / 5)
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So, the correct answer for this question is F = [ (9/5) * C ] + 32

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4 years ago