Whats 4 squred - 11x + 6 =0

According to national data, 5.1% of burglaries are cleared with arrests. A new detective is assigned to six different burglaries

blagie [28]

Answer:

26.95% probability that at least one of them is cleared with an arrest

Step-by-step explanation:

For each burglary, there are only two possible outcomes. Either it is cleared, or it is not. The probability of a burglary being cleared is independent of other burglaries. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

5.1% of burglaries are cleared with arrests.

This means that $p = 0.051$

A new detective is assigned to six different burglaries.

This means that $n = 6$

What is the probability that at least one of them is cleared with an arrest?

Either none are cleared, or at least one is. The sum of the probabilities of these events is 100% = 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$

Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{6,0}.(0.051)^{0}.(0.949)^{6} = 0.7305$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7305 = 0.2695$

26.95% probability that at least one of them is cleared with an arrest

8 0

2 years ago

What are the end points of the triangle called? How are they labeled?

horrorfan [7]

For this case we have that by definition:

A triangle is defined by three lines that are called sides, or by three points called vertices.

We know that:

The vertices of a triangle are labeled with capital letters.
The sides of a triangle are written with lowercase letters.
The angles of a triangle are written similarly to the vertices.

Answer:

The end points of the triangle are called vertices.

They are labeled in capital letters.

6 0

2 years ago

235+374= use rounding or compatible numbers to estimate the sum

vlada-n [284]

Round to tens: 240 + 370 = 610
round to hundreds: 200 + 400 = 600

hope this helps

7 0

3 years ago

Using numbers 12,4,5,17,12 make 24. Helllpppp

romanna [79]

Answer: To get 24

Step-by-step explanation

What you would need to do is first multiply 12 x 5 would come out as 60.

Then from 60 you subtract 17 and 12 to get 5. Divide by the 5 that you just got from 17 and 12 and to get 20. Using the 4 add it to the 20 to get 24.

4 0

2 years ago

A number is greater than 8 The same number of possible solutions to the inequality

Gre4nikov [31]

Answer:

48

Step-by-step explanation:

5 0

2 years ago

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