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Citrus2011 [14]
3 years ago
13

According to police sources, a car with a certain protection system will be recovered 87% of the time. Find the probability that

4 of 8 stolen cars will be recovered?
Mathematics
1 answer:
WITCHER [35]3 years ago
5 0

Answer: 0.01145

Step-by-step explanation:

We use Binomial distribution , where the probability of getting x successes in n trial is given by :-

P(x)=^nC_xp^x(1-p)^{n-x} , p = probability of getting each success in each trial.

As per given

The proportion that a car with a certain protection system will be recovered= p=0.87

n= 8

Let x be the number of cars will be recovered.

Then, the probability that 4 of 8 stolen cars will be recovered:

P(X=4)=^8C_4(0.87)^4(1-0.87)^{8-4}

=\dfrac{8!}{4!(8-4)!}(0.87)^4(0.13)^4\\\\= 70(0.57289761)(0.00028561)\\\\=0.0114537700474\approx0.01145

Hence, the required probability is 0.01145.

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A 2 liter bottle is filled completely with water from a faucet in 10 seconds. How much water was filled into the bottle each sec
telo118 [61]

Answer:

A 0.2 L water was filled into the bottle from faucet each seconds.

Step-by-step explanation:

Unit rate is defined as the rates are expressed as a quantity of 1, such as 3 feet per second or  6 miles per hour, they are called unit rates.

Given the statement: A 2 liter bottle is filled completely with water from a faucet in 10 seconds.

⇒ In 10 sec  a  2L bottle  is completely filled with water  from a faucet.

Unit rate per second =  \frac{2}{10} = \frac{1}{5} = 0.2 L

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6 0
3 years ago
HELP ASAP
Alexxandr [17]

Answer: A − 9/7

Step-by-step explanation:

Hi, to answer this question we have to convert all the numbers into decimal form.

-3 1/3 = - (3x3+1)/3 =-10/3 = - 3.3334

-4/5 = -0.8

Since he number must greater than −3 1/3 but less than − 4/5.

−3 1/3 < x < − 4/5.

- 3.3334 < x < -0.8

The correct option is A = -9/7 , because in decimal form is equal to -1.28-

- 3.3334 < -1.28 < -0.8

5 0
3 years ago
1. What is the sum of 1/9, 2/3, and 5/18?<br> O A. 30<br> O B. 12/9<br> O C. 19/18<br> O D. 4/15
Serhud [2]

Answer:

C. 19/18

Step-by-step explanation:

\frac{1}{9}  +  \frac{2}{3}  +  \frac{5}{18 }  =  \frac{2}{18}  +  \frac{12}{18}  +  \frac{5}{18}  =  \frac{19}{18}

So the answer is C. 19/18

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1 year ago
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now 7x+x =8x so 8x is answer
8 0
3 years ago
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KATRIN_1 [288]
Y - y1 = m( x - x1); where m = (y2 - y1)/(x2 - x1);
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The equation of the line is: y - 0 = 3(x-5);
Finally: y = 3x - 15.
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