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2 years ago

Pls helppp I’ll brainlest

Mathematics

2 answers:

tankabanditka [31]2 years ago

6 0

Answer:

Option B

Step-by-step explanation:

minus is represented as an expression

jolli1 [7]2 years ago

5 0

Answer:

its D

Step-by-step explanation:

BRANILEST!?!?!?!?!?!?

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

Veseljchak [2.6K]

Answer:

a) 21.58% probability that exactly 3 people are repeat offenders

b) 97.91% probability that at least one person is a repeat offender

c) 3.69

d) 1.83

Step-by-step explanation:

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.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

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

This means that $p = 0.09$

41 people arrested for DUI in Illinois are selected at random.

This means that $n = 41$

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

This is P(X = 3).

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

$P(X = 3) = C_{41,3}.(0.09)^{3}.(0.91)^{38} = 0.2158$

21.58% probability that exactly 3 people are repeat offenders

b. What is the probability that at least one person is a repeat offender?

Either none are repeat offenders, or at least one is. The sum of the probabilities of these outcomes is 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

$P(X = 0) = C_{41,0}.(0.09)^{0}.(0.91)^{41} = 0.0209$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0209 = 0.9791$

97.91% probability that at least one person is a repeat offender

c. What is the mean number of repeat offenders?

$E(X) = np = 41*0.09 = 3.69$

d. What is the standard deviation of the number of repeat offenders?

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{41*0.09*0.91} = 1.83$

4 0

2 years ago

If there are 60 sides, what is the difference between the perimeter and π?

tangare [24]

You can sole it because I believe in you

5 0

2 years ago

Help plsss I’m a little confused<br> We started this today :/

belka [17]

We can’t see the question

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2 years ago

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Find the vertex and the axis of symmetry of the graph of y=-6(x+4)^2 – 3.

Serjik [45]

Vertex is (4,-3) and the axis of symmetry is X=4

4 0

2 years ago

Jika garis 4x+ay = 8 dan ay=9x + 5 saling tegak lurus,maka nilai a

barxatty [35]

We are given equations as

$4x+ay=8$

Firstly, we will write in slope intercept form of line

y=mx+b

$4x+ay=8$

Subtract both sides by 4x

$4x+ay-4x=-4x+8$

$ay=-4x+8$

now, we can divide both sides by a

$y=-\frac{4}{a} x+\frac{8}{a}$

we can find slope

so, we get

$m_1=-\frac{4}{a}$

we are given second equation as

$ay=9x+5$

Firstly, we will write in slope intercept form of line

y=mx+b

divide both sides by a

$y=\frac{9}{a} +\frac{5}{a}$

we can find slope

$m_2=\frac{9}{a}$

we are given both lines are perpendicular

so, the multiplication of their slopes must be -1

$m_1\times m_2=-1$

we can plug values

$-\frac{4}{a}\times \frac{9}{a}=-1$

now, we can solve for a

$\frac{36}{a^2}=-1$

Multiply both sides by a

$\frac{36}{a^2}\times a^2=1\times a^2$

$36= a^2$

now, we can solve for a

we get

$a=-6,a=6$ ...............Answer

4 0

2 years ago