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(3 points) In Illinois, 9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders; that is, they hav

den301095 [7]

Answer:

22.60% probability that exactly 3 people are repeat offenders

Step-by-step explanation:

For each driver arrested selected, there are only two possible outcomes. Either they are repeat offenders, or they are not. The probability of an arrested driver being a repeat offender is independent from other arrested drivers. So we use the binomial probability distribution to solve this problem.

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.

In Illinois, 9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders;

This means that $p = 0.09$

Suppose 28 people arrested for DUI in Illinois are selected at random.

This means that $n = 28$

a) What is the probability that exactly 3 people are repeat offenders

This is $P(X = 3)$

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

$P(X = 3) = C_{28,3}.(0.91)^{25}.(0.09)^{3} = 0.2260$

22.60% probability that exactly 3 people are repeat offenders

4 0

3 years ago

Apply the distributive property to create an equivalent expression. 6(5x -3) (HELP PLSSS)

Oksi-84 [34.3K]

Answer: 30x-18

Explanation:

You are to multiply the 6 times 5x and -3

6*5x=30x
6*-3=-18

5 0

3 years ago

Somebody please help me with this math question and I’ll give you 26 points please if you are going to submit links do not answe

Marina CMI [18]

$600
4000*.05=200
200*3=600

8 0

2 years ago

Find the orthocenter of △ABC. A(2, 3), B(−4, −3), C(2, −3)

weqwewe [10]

ANSWER

$\boxed { A. \: \: (2,-3) }$

EXPLANATION.

The orthocenter is the point of intersection of any two altitudes of the triangle.

First, you need to determine the slope of each side of the triangle.

△ABC has vertices A(2, 3), B(−4, −3), C(2, −3).

$slope \: of \: AB = \frac{3 - - 3}{2 - - 4} = \frac{6}{6} = 1$

$slope \: of \: AC = \frac{ 3 - - 3}{2 - 2} = \frac{6}{0}$

This line has undefined slope, which means it is a vertical line.

$slope \: of \: BC = \frac{ - 3 - - 3}{ 2 - - 4} = \frac{0}{6} = 0$

The slope of this line is zero, meaning the line is a horizontal line.

This implies that side BC and side AC of the given triangle are perpendicular and will intersect at C since they are the altitudes of triangle ABC.

Hence the orthocentre is

$(2,-3)$

See diagram in attachment.

5 0

3 years ago

Help i don’t understand

Nonamiya [84]

Answer:

VERTICAL LINES

Step-by-step explanation:

6 0

4 years ago

Im bore ddd wanna talk me h jjm​

Im bore ddd wanna talk me h jjm