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
rjkz [21]
3 years ago
11

In a survey of a town, 56% of residents own a car, 21% of residents now a truck, and 4% of residents own both a car and a truck.

What is the conditional probability that a person also owns a truck, given that they own car? Round to the nearest whole percent.
Mathematics
2 answers:
babunello [35]3 years ago
8 0
4.6 rounded to whole number would be 5%
Iteru [2.4K]3 years ago
5 0

Answer:

P(A given B)=0.190

Step-by-step explanation:

It is given that In a survey of a town, 56% of residents own a car, that is P(A)=0.56

21% of residents now a truck, that is P(B)=0.21

and 4% of residents own both a car and a truck that is P(A∩B)=0.04

Now, the conditional probability that a person also owns a truck, given that they own car is:

P(A given B)=\frac{P(A{\cap}B)}{P(B)}

P(A given B)=\frac{0.04}{0.21}

P(A given B)=0.190

Thus, the conditional probability that a person also owns a truck, given that they own car is 0.190.

You might be interested in
24 students in a class toook an algebra test if 18 students passed the test what percent passed
Sergio [31]
I’m pretty sure it’s 54%
6 0
2 years ago
Work out the formula of the nth term in the following quadratic sequence:<br> 19, 15, 9, 1...
Butoxors [25]

In a quadratic sequence we'll get a linear first difference and a constant second difference.  Let's verify that.

n          1   2   3   4

f(n)       19  15  9   1

1st diff   -4  -6  -8

2nd diff     2   2

We see that we got a constant second difference.  We could just extend that and work back up to get more values.

n          1   2   3   4       5    6      7

f(n)       19  15  9   1      -9   -21   -35

1st diff   -4  -6  -8   -10  -12   -14

2nd diff     2   2    2     2    2

That's just an aside; we're after the general formula.  We have

f(1)=19, f(2)=15, f(3)=9

In general we can assume

f(n) = an²  + bn + c

We get three equations in three unknowns,

19 = a(1²)+b(1)+c = a+b+c

15 = a(2²) + b(2) + c = 4a + 2b + c

9 = a(3²) + b(3) + c =  9a + 3b + c

That's a 3x3 linear system; it's easy to solve directly.  Subtracting pairs,

4 = -3a - b

6 = -5a - b

Subtracting those,

-2 = 2a

a = -1

b = -3a -4 = -1

c = 19-a-b = 21

Answer: f(n) = -n² - n + 21

Check:

f(1) = -1 - 1 + 21 = 19, good

f(2) = -4 - 2 + 21 = 15, good

f(3) = -9 - 3 + 21 = 9, good

f(4) = -16 - 4 + 21 = 1, good

Let's check our extended table, how about

f(7)= -49 - 7 + 21 = -35, good

6 0
3 years ago
X^2= 1/100 what does x equal?
umka21 [38]
<span>X^2= 1/100
x = 1/10

Because 1/10 * 1/10 = 1/100

</span>
5 0
3 years ago
Read 2 more answers
HELP!!! MATH!!! Plessssssss!!!​
ratelena [41]

Answer:

the answer would be b

Step-by-step explanation:

the other 2 have negatives and the 3rd option is whole so b

3 0
2 years ago
Line L pases through Sand R. Determine the slope of L.
mart [117]

Answer:

hi you answer should be 5/3

Step-by-step explanation:

Hope this helps!

8 0
2 years ago
Other questions:
  • If Sonia practices piano for 1/3 of an hour each day,how long will she have practiced in a week
    8·1 answer
  • A total of $37185 is invested at an annual interest rate of 2% compounded quarterly. Find the balance after 11 years.
    15·1 answer
  • Write a situation in which positive and negative numbers are used to describe values that have the opposite meaning.
    11·1 answer
  • Explain why the greatest common factor of 2 numbers are sometimes one
    13·1 answer
  • I need help with finding the sum of (x^4 + 2x^3 - 7x - 9) + (x^5 - 2x^4 + 8x + 18) in standerd form
    13·1 answer
  • If a function is defined by the formula y equals 2x + 1 + that domain is given by the set 3, 5, 7, 9 then which set represents t
    6·1 answer
  • SOMEONE HELP
    11·1 answer
  • Solve 3(x + 2) &gt; X.
    6·1 answer
  • 3.3019 rounded to one decimal places
    15·1 answer
  • Can someone help me with these please
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!