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2 years ago

Write the set of real numbers from - 10 through 10 in interval notation.

Mathematics

1 answer:

Klio2033 [76]2 years ago

8 0

Answer:

1) $(-10,10)$ - Greater than -10 and less than 10.

2) $[-10, 10]$ - Greater than or equal to -10 and less than or equal to 10.

3) $[-10, 10)$ - Greater than or equal to -10 and less than 10.

4) $(-10, 10]$ Greater than -10 and less than or equal to 10.

Step-by-step explanation:

There are four form of describing that set in interval notation, which presented below:

1) $(-10,10)$ - Greater than -10 and less than 10.

2) $[-10, 10]$ - Greater than or equal to -10 and less than or equal to 10.

3) $[-10, 10)$ - Greater than or equal to -10 and less than 10.

4) $(-10, 10]$ Greater than -10 and less than or equal to 10.

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In the year 2054 the government estimates that out of every 1,000,100 citizens 1,000,000 will remain law-abiding, and 100 will e

Olenka [21]

Answer:

0.9091 = 90.91% probability that a person flagged as a future criminal by the Precogs will actually commit a crime

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

$P(B|A) = \frac{P(B)*P(A|B)}{P(A)}$

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Flagged as future criminal

Event B: Commits a crime.

In the year 2054 the government estimates that out of every 1,000,100 citizens 1,000,000 will remain law-abiding, and 100 will eventually commit a crime.

This means that $P(B) = \frac{100}{1000100} = 0.00009999$

If a person is going to commit a crime, the Precogs identify that person correctly 99.999% of the time

This means that $P(A|B) = 0.99999$

Probability of being identified as a criminal:

0.99999 out of 0.00009999(identified and commits crime).

(1-0.99999) out of (1-0.00009999) (identifed and does not commits crime). So

$P(A) = 0.99999*0.00009999 + (1-0.99999)*(1-0.00009999) = 0.000109988$

What is the probability that a person flagged as a future criminal by the Precogs will actually commit a crime

$P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.00009999*0.99999}{0.000109988} = 0.9091$

0.9091 = 90.91% probability that a person flagged as a future criminal by the Precogs will actually commit a crime

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2 years ago

How many feet are in 13 miles, 176 yards? Enter only the number. Do not include units.

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Answer:

69,168

Step-by-step explanation:

1 mile = 5280 ft

13 miles · 5280 ft = 68,640 ft

1 yd = 3 ft

176 yds · 3 ft = 528 ft

68640 ft + 528 ft = 69,168 ft

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2 years ago

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frosja888 [35]

Answer:

Step-by-step explanation:

<u>Given expression:</u>

3(x + y) +2x² + (1 + y)²

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2 years ago

Choose the correct answers for (a) the total installment price, (b) the carrying charges, and (c) the number of months needed to

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90+40.50×24
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2 years ago

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According to postal regulations, a carton is classified as "oversized" if the sum of its height and girth (the perimeter of its

kotykmax [81]

Answer:

18" X 18" X 36"

Step-by-step explanation:

Given a square base container of height h, let a side of the base =s

The volume of the container, $V= s^2h$

If the sum of its height and girth (the perimeter of its base) equals 108 in

$4s+h = 108\\h = 108-4s$

Substituting h=108-4s into V

$V= s^2(108-4s)$

We are required to determine the maximum volume of such container, first we take the derivative:

$V'(s)= s(216-12s)$

Optimizing:

$s(216-12s)=0\\216-12s=0\\12s=216\\s=216 \div 12\\s=18$

Recall that: h = 108-4s

$h = 108-4(18)=108-72=36inch$

The dimensions of the carton are 18" X 18" X 36".

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2 years ago