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
Radda [10]
3 years ago
10

In a certain community, 30% of the families own a dog, and 20% of the families that own a dog also own a cat. It is also known t

hat 27% of all the families own a cat.
What is the probability that a randomly selected family owns both a dog and a cat?
What is the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat?
Mathematics
1 answer:
Nesterboy [21]3 years ago
3 0

Answer:

a) 0.06

b) 0.778

Step-by-step explanation:

Let's suppose a community of 100 families just to facilitate the calculation.

30% of the families own a dog

Dog = 30% of 100 = 30

20% of the families that own a dog also own a cat = 20% of 30 = 6

27% of all the families own a cat = 27% of 100 = 27

So, 6 families own a dog and a cat.

As 30 families own a dog, [30 - 6 =] 24 families own only dogs

As 27 families own a cat, [27 - 6 = ] 21 families own only cats

See picture attached.

a) What is the probability that a randomly selected family owns both a dog and a cat?

P(dog and cat) = dog ∩ cat/total = 6/100 = 0.06

b) What is the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat?

So, only cat/total cat

P (not dog|cat) = 21/27 = 0.778

You might be interested in
Need help me please don't know this
motikmotik

Answer:

c.9

the correct answer

semoga jawapan ini membantu

8 0
2 years ago
Read 2 more answers
Work out the percentage change to 2 decimal places when a price of £198 is increased to £209.99.
bija089 [108]

Answer:

The percentage change = 6.05%

Step-by-step explanation:

New value = £209.99

Old value = £198

Percentage change = [New Value - Old Value] / [Old Value] × 100

                                 = [209.99 - 198] / [198] × 100

                                 = [11.99] / [ 198] × 100

                                 = 0.06 × 100

                                 = 6.05%

Therefore, the percentage change = 6.05%

5 0
2 years ago
Find the volume of the composite figure below.
worty [1.4K]

Answer:

Volume of composit figure= 4834.14 cm^3

Step-by-step explanation:

here's your solution

=> Radius of hemisphere = 9 cm

==> volume of hemisphere = 2/3πr^3

==> volume of hemisphere = 2/3*22/7* 9^3

==> volume = 1526.04 cm^3

=> Radius of cylinder = 9 cm

=> Height of cylinder = 13 cm

==> volume of cylinder = πr^2h

==> volume of cylinder = 22/7*9^2*13

==> volume of cylinder = 3,308.1 cm^3

Volume of composit figure = 1526.04 + 3308.1

= 4834.14 cm^3

hope it helps

7 0
2 years ago
What is the solution to the system of equations?<br><br> 6x – 9y = 16<br><br> 2x – 3y = 7
kifflom [539]
The first step for solving this problem is to multiply both sides of the bottom equation by -3.
\left \{ {{6x-9y=16} \atop {-6x + 9y = -21}} \right.
Add the two equations together.
6x - 9y - 6x + 9y = 16 - 21
Eliminate the opposites.
-9y + 9y = 16 - 21
Remember that the sum of two opposites equals 0,, so the equation becomes the following:
0 = 16 - 21
Calculate the difference on the right side of the equation.
0 = -5
This means that the statement \left \{ {{6x-9y=16} \atop {2x-3y=7}} \right. is false for any value of x and y. That means that the answer to your question is (x,y) ∈ ∅,, or no solution.
Let me know if you have any further questions.
:)
8 0
3 years ago
What is the answer to this equation. (8+H) - 12
WITCHER [35]

Answer:

H-4

Step-by-step explanation:

Let's simplify step-by-step.

8+H−12

=8+H+−12

Combine Like Terms:

=8+H+−12

=(H)+(8+−12)

=H+−4

5 0
3 years ago
Other questions:
  • If 2 is subtracted from a number and this difference is tripled, the result is 8 more than the number.?
    5·1 answer
  • 3х + 5у = -3<br>x+2y = - 4/3​
    7·1 answer
  • The factory used to produce 126 articles a day. As a result of retooling, production increased to 189 articles a day. What was t
    8·1 answer
  • HELPPP! Can someone please help me please!
    14·1 answer
  • The midpoint of AB is M (-6,-4). If the coordinates of A are (-4,-3), what are the coordinates of B
    14·1 answer
  • A triangle has side lengths of
    13·1 answer
  • Are the following functions linear or nonlinear? Drag the tiles to complete the statements.
    5·1 answer
  • Maura and Louis have $75 together to
    13·2 answers
  • What is 28 in hexadecimal?<br> a.2a<br> b.1a<br> c.1c<br> d.2c
    6·2 answers
  • 23 The value in dollars, y, of a carx years after it was purchased can be modeled by
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!