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Savatey [412]
3 years ago
9

Please help and thannks

Mathematics
1 answer:
blsea [12.9K]3 years ago
3 0

Answer:

745

Step-by-step explanation:

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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
Komok [63]

Answer:

What is the probability that a randomly selected family owns a cat? 34%

What is the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat? 82.4%

Step-by-step explanation: We can use a Venn (attached) diagram to describe this situation:

Imagine a community of 100 families (we can assum a number, because in the end, it does not matter)

So, 30% of the families own a dog = .30*100 = 30

20% of the families that own a dog also own a cat = 0.2*30 = 6

34% of all the families own a cat = 0.34*100 = 34

Dogs and cats: 6

Only dogs: 30 - 6 = 24

Only cats: 34 - 6 = 28

Not cat and dogs: 24+6+28 = 58; 100 - 58 = 42

What is the probability that a randomly selected family owns a cat?

34/100 = 34%

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

A = doesn't own a dog

B = owns a cat

P(A|B) = P(A∩B)/P(B) = 28/34 = 82.4%

5 0
2 years ago
Read 2 more answers
A combination lock has numbers 0-49 on it. How many different 3-digit lock
Harman [31]

Answer:

19,600

Step-by-step explanation:

0-49=50 numbers

n=50

r=3

C(n,r)=n!/(r!(n-r)!)

=50!/(47!)(3!)

C(n,r)=C(50,3)

=50!/(3!(50−3)!)

= 19600

3 0
2 years ago
12. Determine the slope of the line having the equation 2x + y = 12
Virty [35]

Answer:

b. -2

Step-by-step explanation:

Note the slope-intercept form: y = mx + b

Note that:

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

First, isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Subtract 2x from both sides of the equation:

2x (-2x) + y = (-2x) + 12

y = -2x + 12

Remember, m is the variable for the term that stands for the slope (directly next to the x variable). In this case, your answer will be -2

b. -2 is your answer.

~

4 0
2 years ago
Read 2 more answers
Please answer them. 25 points.
diamong [38]

Step-by-step explanation:

<u>Initial value is the y-intercept:</u>

  • b = 1200

<u>Rate of change is the difference in the charge amount per year:</u>

  • m = (1350 - 1200) / (8 - 5) = 150 / 3 = 50

<u>The equation would be:</u>

  • y = 50x + 1200
8 0
2 years ago
Read 2 more answers
The sum of two numbers is 724. one of the numbers is 217. what is the other number?
Anni [7]

Answer:

507

Step-by-step explanation:

For the Algebraic Expression,

let the two numbers be X and y

lets assume x = 217

From the question,

217 + y = 724

y = 724-217

y = 507

Therefore, the other number is 507

4 0
1 year ago
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