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Phoenix [80]
3 years ago
14

Please someone help me . ?2^3(2-4)+5(3-8)

Mathematics
1 answer:
prisoha [69]3 years ago
7 0
-41 I think u do distributive property
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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
2 years ago
Solve this equation <br> 6. 14=t -44
Marizza181 [45]

Are you solving for t?

5 0
3 years ago
A circle has a circumference of 3.14<br> What is the diameter of the circle?
Sonbull [250]
3.82 is the answer for that but what is the unit of measurement

4 0
3 years ago
Sole the system by elimination -4x+9y=9 x-3y=-6
Natalka [10]

Answer:

A) -4x + 9y = 9

B) x -3y = -6

We multiply B) by 3

B) 3x -9y = -18 Then add it to A)

A) -4x + 9y = 9

-x = -9

x = 9

9 -3y = -6

3y = 15

y = 5


Step-by-step explanation:


5 0
2 years ago
Express 0.035 metre into km​
azamat

Answer:

0.000035km

Step-by-step explanation:

1km =1000m \\ x = 0.035m

use \:  \: cross \:  \: multipication

0.035 \times 1 = 1000x \\ 0.035 = 1000x \\  \frac{0.035}{1000}  =  \frac{1000x}{1000}  \\ x = 0.000035km

6 0
3 years ago
Read 2 more answers
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