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Iteru [2.4K]
3 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]3 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 of the following options results in a graph that shows exponential growth?
poizon [28]

Answer:

f(x)=0.7(5)^x

Step-by-step explanation:

\text{Exponential function: }y=a\cdot b^x

It is two types of function.

  • Exponential Growth: If function increase as value of x increase.

In this case, a>0 and b>1

  • Exponential decay: If function decrease as value of x increase.

In this case, a>0 and 0<b<1

We need to choose exponential growth function.

\text{Exponential Growth function: }f(x)=0.7(5)^x

Here a=0.75>0 and b=5>1

Therefore, This function is exponential growth.

7 0
3 years ago
Read 2 more answers
Which answer best describes the shape of this distribution?
GrogVix [38]

Answer:

Skewed left

Step-by-step explanation:

Notice how on the left side of the distribution that the left tail is longer. Therefore, the distribution is skewed left.

5 0
3 years ago
The circumference of a circular field is 200.96 meters. What is the diameter of the field? Use 3.14.
artcher [175]

Answer:

1262.0288

Step-by-step explanation:

2×3.14×200.96

3 0
3 years ago
Select the correct answer
bulgar [2K]
The answer is b bc it’s all real numbers since it won’t stop
3 0
3 years ago
A manufacturer of bicycles has determined that 550 bikes per month will be sold at a price of $250. At a price of $150, it is es
iogann1982 [59]

750 bikes would be sold for $350

Let x represent the number of bikes sold per month and y represent the price.

550 bikes are sold at a price of $250, this can be represented by (550, 250). Also, 750 bikes is sold at a price of $150, hence it is represented by (750, 150)

A linear function is represented by:

y = mx + b

m is the slope, b is the y intercept.

Therefore the function is:

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-250=\frac{150-250}{750-550}  (x-550)\\\\y=\frac{1}{2}x-25

The number of bikes sold for $350 is:

350 = (1/2)x - 25

x = 750

Therefore 750 bikes would be sold for $350

Find out more at: brainly.com/question/13911928

3 0
2 years ago
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