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olchik [2.2K]
3 years ago
12

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
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}

8 0
3 years ago
A children's pool contains 17,500 milliliters. How many liters are in the pool
OlgaM077 [116]

Answer:

17.5

Step-by-step explanation:

8 0
3 years ago
What is the area of the triangle shown
Sati [7]

Answer:

The answer is 40 sq. units

That is: 1/2×b×h (formula for area of triangle)

1/2×10×8

= 40

7 0
3 years ago
In -1x=2 (solving for x), when l divide both sides by 1, is that 1 positive or negative?
svetoff [14.1K]
The answer would be -2
7 0
3 years ago
Can someone lead me through the steps.. IDK what to do
hammer [34]
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
9C = 5 * (F - 32)
9C = 5F - 160
9C + 160 = 5F
5F = 9C + 160
F = (9C / 5) + (160 / 5)
F = [ (9/5) * C ] + 32

So, the correct answer for this question is F = [ (9/5) * C ] + 32
5 0
4 years ago
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