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3 years ago

HELP ASAP! Will mark brainliest! Please give actual, correct answers because this is very important.

Mathematics

1 answer:

earnstyle [38]3 years ago

8 0

Answer:

1.) -t (r - s)

-3 (-6 - 3)

16 + 6

2.) B

A linear equation consists of y = slope + y-intercept (y = mx +b). In this case, the slope will rise by 1 and run (right) by 1.

3.) I`m sorry I`m not too sure about this one

I hope the first couple helped, I`m sorry I don`t know the last one.

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Use the Distributive Property<br><br> 1/2 (2n+6m)

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Answer:

n + 3m

Step-by-step explanation:

It will become 1/2 * 2n + 1/2 * 6m = n + 3n

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Find the area of the triangle to the nearest tenth.

andreyandreev [35.5K]

Answer:

42.4

Step-by-step explanation:

1) use this formula of Area of the triangle:

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2) using the formula described above:

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3 years ago

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?

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

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2 years ago

Represent 5x>-3 on a number line

BaLLatris [955]

GIVE BRANLIEST LOOK AT IMAGE THE ANSWER IS ON THAT IMAGE TRUST ME

Step-by-step explanation:

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2 years ago