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2 years ago

Rewrite each of the following expressions without using absolute value: |x-5|+|x+5| if x<-5

Mathematics

1 answer:

Ivahew [28]2 years ago

4 0

For $x < -5$ :

$x-5 < 0 \Rightarrow |x-5|=-(x-5)=-x+5\\x+5 < 0\Rightarrow |x+5|=-(x+5)=-x-5$

$|x-5|+|x+5|=-x+5-x-5=-2x$

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Suppose that 80 percent of all statisticians are shy, whereas only 15 percent of all economists are shy. Suppose also that 90 pe

Anna71 [15]

Answer:

37.21% probability that the person is a statistician.

Step-by-step explanation:

We have these following probabilities:

An 80% probability that a statistican is shy.

A 15% probability that an economist is shy.

At the gathering, a 90% probability that a person is an economist.

At the gathering, a 10% probability that a person is a statistican.

If you meet a shy person at random at the gathering. What is the probability that the person is a statistician?

This can be formulated as the following question:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

What is the probability that the person is a statistican, given that he is shy?

P(B) is the probability of the person being a statistican. So P(B) = 0.1.

P(A/B) is the probability of a statistican being shy, so P(A/B) = 0.8.

P(A) is the probability of a person being a shy. This is 15% of 90%(economists) and 80% of 10%(statisticans). So

$P(A) = 0.15*0.9 + 0.8*0.1 = 0.215$

Finally

$P = \frac{P(B).P(A/B)}{P(A)}$

$P = \frac{0.1*0.8}{0.215} = 0.3721$

37.21% probability that the person is a statistician.

3 0

4 years ago

Write 9 and 250 thousandths as a mixed number

Naddik [55]

9 and 250 thousandths written as a mixed number is as much as 9 250/1000. We can simplify it, so we'll get:

9 25/100

Or even:

<u>9 1/4
</u>
I hope it will help you :)

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4 years ago

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alexandr1967 [171]

Answer:

You have to say sorry for whatever you did --

Step-by-step explanation:

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3 years ago

Hi can someone solve this!

Art [367]

Answer:

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Step-by-step explanation:

4+8=12 which is greater than 11

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3 years ago

The population of the U.S. Is about 309,975,000, covering a land area of 3,717,000 square miles. The population of India is abou

maks197457 [2]

Answer:

Step-by-step explanation:

The formula for determining population density is expressed as

Population density = number of people/land area

The population of the U.S. Is about 309,975,000, covering a land area of 3,717,000 square miles. This means that the population density of the US is

309975000/3717000 = 83.39 people per square mile

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Therefore, the population density of India is higher than the population density of the Us by

933.52 - 83.39 = 850.13 people per square mile

3 0

4 years ago