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3 years ago

Find the slope of the line that passes through the coordinates (3,-6) and (-9,2)

Mathematics

1 answer:

JulsSmile [24]3 years ago

4 0

9514 1404 393

Answer:

-2/3

Step-by-step explanation:

The slope formula is useful for this.

m = (y2 -y1)/(x2 -x1)

m = (2 -(-6))/(-9 -3) = 8/-12

m = -2/3

The slope of the line is -2/3.

The graph shows the two points and a line with a slope of -2/3.

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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

3 years ago

Can somebody explain to me how to do this

11111nata11111 [884]

Answer:below hopes it helps the link should help aswell

Step-by-step explanation:

https://mathsolver.microsoft.com/en/solve-problem/%60frac%7B%2010%20%7B%20q%20%20%7D%5E%7B%205%20%20%7D%20%20%20%7B%20w%20%20%7D%5E%7B%207%20%20%7D%20%20%20%20%7D%7B%202%20%7B%20w%20%20%7D%5E%7B%203%20%20%7D%20%20%20%20%7D%20%20%20%60frac%7B%204%20%7B%20%60left(%20%7B%20q%20%20%7D%5E%7B%206%20%20%7D%20%20%20%60right)%20%7D%5E%7B%202%20%20%7D%20%20%20%20%7D%7B%20%20%7B%20w%20%20%7D%5E%7B%20-5%20%20%7D%20%20%20%20%7D

3 0

3 years ago

Figure out the answer to each riddle below:

Ahat [919]

1. 79
2. 330
3. 452
4. 1212
5. 351
6. 202
7. 238

5 0

3 years ago

elect the best answer for the question. 16. Which answer choice contains all the factors of 10? A. 1, 2, 5 B. 2, 5 C. 1, 2, 5, 1

ruslelena [56]

The coorect answer is C. 1, 2, 5, 10

8 0

3 years ago

Which is greater: 10cm or 103mm? How much greater?

bekas [8.4K]

Answer:

0.3cm and/or 3mm

Step-by-step explanation:

When converting 10cm to mm you get 100mm and when putting 100mm to 103mm its visible that the 103mm is larger, but by how much? The difference is 0.3cm and/or 3mm.

6 0

3 years ago