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3 years ago

9) y = 7x - 20 3x + 8y = 17 For substitution

Mathematics

1 answer:

xenn [34]3 years ago

3 0

X=3
y=1
Use substitution method starting with the first equation substitute y in the second equation

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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

Which of the following values of r will result in a true statement when substituted into the given equation?

Charra [1.4K]

Answer:

the right answer is -5 (B)

Step-by-step explanation:

-(-5) +5(-5+2)

5 + -15 = -10

3 0

3 years ago

Read 2 more answers

If d is the midpoint of the segment AC

3241004551 [841]

Based on the statement below, if d is the midpoint of the segment AC, the length of the segment AB is 4.5cm.

<h3>What is the line segment about?</h3>

in the question given,

AC = 3cm,

Therefore, AD and DC will be = 1.5cm segments each.

We are given C as the midpoint of segment DB.

So CB = 1.5cm.

The representation of the line segment is:

A-----------D------------C-------------B

1.5 1.5 1.5

Since AD, DC and CB are each 1.5cm segments. Then the equation will be:

= 1.5 + 1.5 + 1.5

= 4.5

Therefore, The length of the segment AB is 4.5cm.

See full question below

If D is the midpoint of the segment AC and C is the midpoint of segment DB , what is the length of the segment AB , if AC = 3 cm.

Learn more about midpoint from

brainly.com/question/10100714

#SPJ1

3 0

2 years ago

2/5y - 4 + 7 - 9/10y with steps

Lesechka [4]

Let's simplify step-by-step.

2/ 5 y−4+7− 9 /10 y = 2 /5 y+−4+7+ −9 /10 y

Combine Like Terms: = 2 /5 y+−4+7+ −9 /10 y

(2 /5 y+ −9 /10 y)+(−4+7) = −1 /2 y+3

Answer: = −1 /2 y+3

Hope I could help! :)

3 0

3 years ago

Given the coordinates for the function below which of the following are coordinates for its inverse

IgorLugansk [536]

Answer:

Not sure but I believe it is A

Step-by-step explanation:

7 0

3 years ago