1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
Place parentheses in the following equation to make it true.<br> 6+6/6x6-6= 0
LiRa [457]

Answer: (6+6/6)*(6-6)= 0

6 0
3 years ago
Whats the point on the graph​
Lerok [7]

Answer:

0, 2

Step-by-step explanation:

im not sure tho

3 0
3 years ago
Read 2 more answers
A $33$-gon $P_1$ is drawn in the Cartesian plane. The sum of the $x$-coordinates of the $33$ vertices equals $99$. The midpoints
lisabon 2012 [21]

1.<span>
The midpoint </span>MPQ of PQ is given by  (a + c / 2, b + d / 2)<span>

2.
Let the x coordinates of the vertices of P_1 be : 

x1, x2, x3,…x33

the x coordinates of P_2 be :

</span>z1, x2, x3,…z33<span>

and the x coordinates of P_3 be:


w1, w2, w3,…w33</span>

<span>
3.
We are given with: 


</span>

X1 + x2 + x3… + x33 = 99

We also want to find the value of w1 + w2 + w3… + w33.<span>

4.

Now, based from the midpoint formula:</span>

 

Z1 = (x1 + x2) / 2

Z2 = (x2 + x3) / 2

Z3 = (x3 + x4) / 2

Z33 = (x33 + x1) / 2<span>

and 

</span>

<span>W1 = (z1 + z1) / 2


W2 = (z2 + z3) / 2</span>

<span>W3 = (z3 + z4) / 2

W13 = (z33 + z1) / 2

.
.

5.</span>

<span>W1 + w1 + w3… + w33 = (z1 + z1) / 2 +  (z2 + z3) / 2 + (z33 + z1) / 2 = 2 (z1 + z2 + z3… + z33) / 2</span>

<span>Z1 + z1 + z3… + z33 = (x1 + x2) / 2 + (x2 + x3) / 2 + (x33 + x1) / 2

</span>2 (x1 + x2 + x3… + x33) / 2 = (x1 + x2 + x3… + x33 = 99<span>


<span>Answer: 99</span></span>

8 0
3 years ago
Henry runs a total of 10 miles at 5 track practices. If he continues at the same rate, how many miles will Henry run at the next
Studentka2010 [4]
He runs 1 mile at 2 track practices then 2×8=16
the answer is C) 16 miles
7 0
4 years ago
Johan's family took him out to dinner to celebrate his amazing 2nd
leonid [27]

Answer:

$190.32

Step-by-step explanation:

$175.00 x 1.08756=$190.32

(1.08756 represents 1 + 8.756%)

8 0
3 years ago
Other questions:
  • Line JK passes through points J(-4,-5) and K(-6,3). If the equation of the line is written in slope-intercept form, y-mx+b, what
    13·2 answers
  • How do you solve X-2&gt;5
    6·1 answer
  • A floor mat is in the shape of a parallelogram. The mat has an area of 480 sq inches. If the base of the mat is 24 inches, what
    14·2 answers
  • Can you please help me with this side of these problems.
    9·1 answer
  • Y = 2x + 1<br> y = -2x + 1<br> y = -2x - 0.5<br> y = 2x - 0.5
    7·1 answer
  • Given the area , find the radius of each circle.Use<img src="https://tex.z-dn.net/?f=%5Cpi" id="TexFormula1" title="\pi" alt="\p
    10·1 answer
  • - Yesterday Billy earned $30 trimming
    6·1 answer
  • Which shape has two sets of parallel sides only?
    9·1 answer
  • Put the following equation of a line into slope-intercept form, simplifying all fractions.
    12·2 answers
  • Which ratio is equivalent to the rate
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!