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2 years ago

Which ratio is not equivalent to 2:7

Mathematics

1 answer:

Anna [14]2 years ago

5 0

Answer:

hope this helps

Step-by-step explanation:

3:39 is not equivalent

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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

3 years ago

Joe has eaten 3/5 of pizza. Jane has eaten 1/7 of pizza. how many times more pizza has Joe eaten than Jane

Lana71 [14]

The answer would be 14/5.

First of all, get the denominators to be the same. The LCM is 5 × 7 = 3/5

So 1 /7 × 5/ 5 = 5 /3/5

And 2/ 5 × 7 /7 = 14 /35

Now we have 5 /35 and 14 /35

Then all you have to do is divide Joe's by Jane's to get the answer.

14 /35 ÷ 5 35 =14 /35 × 35/ 5 = 14 /5

Meaning the answer is 14/5.

Hope I could help! :)

4 0

3 years ago

Read 2 more answers

Which of these graphs do not represent constant rates of change? Check all that apply

sweet [91]

The first and last graph

4 0

3 years ago

On the weekend for every 2 minutes you spend watching puppy videos you spend 9 minutes watching regular tv. If you spend 572 min

harkovskaia [24]

Answer:

104 mins, 468 mins

Step-by-step explanation:

Let the time spent on puppy videos = 2x

Where x is the number of weekends.

Time spent on regular TV = 9x.

So total time spent is 572 mins

i.e 2x + 9x = 572

i.e 11x = 572

So x = 52.

So time spent on puppy videos = 2 X 52

= 104 mins

So time spent on puppy videos = 9 X 52

= 468 mins.

8 0

3 years ago

Use the vertical method to multiply (4a3 – 2a + 3a2 + 1) and (3 - 2a + a²).

Igoryamba

Answer:

.a^3-2a+3a^2+1\right)and\left(3-2a+a 2\ri

Step-by-step explanation:

pls brainliest

6 0

2 years ago

Which ratio is not equivalent to 2:7​

Which ratio is not equivalent to 2:7