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Iteru [2.4K]
2 years ago
11

In a small town, 60% of the households have a pet dog. If a household has a pet dog, there is a 70% chance that the household al

so owns a cat. If a household does not have a dog, there is a 30% chance that the household owns a cat. What is the probability that a randomly selected household owns a cat
Mathematics
1 answer:
Marrrta [24]2 years ago
8 0

Using proportions, it is found that there is a 0.54 = 54% probability that a randomly selected household owns a cat.

<h3>What is a proportion?</h3>

A proportion is a fraction of total amount.

In this problem, the proportions associated with owning a cat are given by:

  • 70% of 60%(also have a dog).
  • 30% of 40%(do not have a dog).

Hence:

p = 0.7(0.6) + 0.3(0.4) = 0.42 + 0.12 = 0.54.

0.54 = 54% probability that a randomly selected household owns a cat.

More can be learned about proportions at brainly.com/question/24372153

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Which graph represents (x,y)(x,y)left parenthesis, x, comma, y, right parenthesis-pairs that make the equation y = 2xy=2xy, equa
e-lub [12.9K]

Step-by-step explanation:

The graph has a slope of 0.5 and a y-intercept of 5

The equation is given as:

A linear equation is represented as:

Where m represents the slope, and c represents the y-intercept

So, by comparison:

m = 0.5

c = 5

This means that:

The slope is 0.5, and the y-intercept is 5

Hence, the graph of  has a slope of 0.5, and a y-intercept of 5

See attachment for the graph of

8 0
3 years ago
Evaluate the expression 2a + 3b + 6 when a=2 and b=4
Vitek1552 [10]

Answer:

22 or 4+12+6

Step-by-step explanation:

Since A is equal to 2, times 2 by 2 and get 4

Since B= 4 you times 3 by 4 and get 12

4+12 is 16

16 plus 6 is 22

5 0
3 years ago
Solve the equation 0.3x-2=0.1(x+20) whats the solution set?
Inga [223]

x = 40/2 = 20 i think thsts the answer if I was wrong you have to right to slap my face

7 0
3 years ago
​ ∠3 ​ and​ ​ ∠4 ​ ​are complementary adjacent angles. m∠4=49° What is the measure of ​​ ∠3 ​?
neonofarm [45]
41°. 90-49=41 mmkmmmm
6 0
3 years ago
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The surface area of this rectangular prism is 34 square centimeters. What is the volume is the width is 1 cm, the length is 2 cm
Bezzdna [24]

Answer: 10\ cm^3

Step-by-step explanation:

Given

The surface area of a rectangular prism is 34\ cm^2

Width of prism w=1\ cm

Length of prism l=2\ cm

height of prism h=x\ cm

Surface area is given by

S.A.=2[lw+wh+hl]

Put values

34=2[2\times 1+1\times x+2x]\\17=2+3x\\15=3x\\x=5\ cm

Now, the volume of Prism is given by

V=l\times w\times h

\Rightarrow V=2\times1\times 5=10\ cm^3

8 0
2 years ago
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