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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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A fleet of vehicles is comprised of 60 vans, 20 limos, and X sedans. If 10% of all vehicles are limos, how many sedans are in th
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4 0
3 years ago
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Answer if you have a big brain 96 POINTS
nordsb [41]

Answer:

1) 2x+7

2) -3x+11

3) 0.75x-2

4) -2x+0

5) -1.5x+2

6) -4x+16

Step-by-step explanation:

1) y = mx + c

m = 2 when x=1 , y=9

9 = 2(1)+c

c = 7

y = 2x + 7

2) m = -3

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c = -1+12 = 11

y = -3x + 11

3) m = 0.75

When x= -4, y= -5

-5 = 0.75(-4) + c

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y = 0.75x - 2

4) m = (y2-y1)/(x2-x1)

m = (2-(-6))/(-1-3) = 8/-4 = -2

y = -2x + c

When x= -1, y= 2

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5) m = (-10-(-4))/(8-4)

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6) m = (-4-4)/(5-3) = -8/2 = -4

When x= 3, y= 4

4 = -4(3) + c

4 = -12 + c

c = 16

y = -4x + 16

8 0
3 years ago
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The ransin sports company has noted that the size of individual customer orders is normally distributed with a mean of $112 and
Sonja [21]

Standard error of the mean is computed by:

Standard error = SD/ sqrt N

Where:

N is the sample size

SD is the standard deviation

 

To get the standard deviation, you need to get the sqrt of the variance = sqrt 9 = 3

So plugging in our data:

 

Standard error = 3 / sqrt (16)

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3 0
3 years ago
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