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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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WILL GIVE BRAINLIEST What are the like terms in the algebraic expression? Negative a squared b + 6 a b minus 8 + 5 a squared b m
Minchanka [31]

Answer: B

Negative a squared b and 5 a squared b

Step-by-step explanation:

Given that:

Negative a squared b + 6 a b minus 8 + 5 a squared b minus 6 a minus b. That is,

- a^2b + 6ab - 8 + 5a^b - 6a - b

Collecting the like term by rearranging the expression

5a^2b - a^2b + 6ab - 6a - b

The like terms in the expression above are

5a^2b - a^2b.

The correct option is B:

Negative a squared b and 5 a squared b or (-a^2b and 5a^b)

4 0
3 years ago
Read 2 more answers
Rita bought some large packets of salt weighing 500grams each and some small packets of salt weighing 200 grams each. If she has
Rama09 [41]
L+S=8, L=8-S

500L+200S=2200, using L from above in this equation gives you:

500(8-S)+200S=2200

4000-500S+200S=2200

4000-300S=2200

-300S=-1800

S=6, and since L=8-S:

L=2

So Rita bought 2 large packets and 6 small packets.
5 0
2 years ago
PV=k with constant k P and V vary directly or inversely?
sladkih [1.3K]
In order to keep the constant, the same and not vary there must be an indirect or inverse relationship to always maintain the value of k.

Thus both P and V are inversely related to each other.
6 0
2 years ago
2. 30 minutes to 18 minutes​
Gemiola [76]

Ratio: 30:18

If you were asking for the ratio-

Compare: 30 minutes is 12 more minutes than 18

If you were asking which one is grater-

5 0
2 years ago
Dave, Frank, and Kathy can process 1,300 catalog orders per day when all three of them are working. Dave and Frank can do 780 or
Natalija [7]
(1) x+y+z=1300
(2) x+y=780 => x = 780 - y
(3) y+z=850 => z = 850 - y

Replace x and z with y in function (1)

780 - y + y + 850 - y = 1300
1630 - y = 1300
y = 330

Therefore, x = 780 - y = 780 - 330 = 450
z = 850 - y = 850 - 330 = 520

Dave can do 450 catalog orders per day
Frank can do 330 catalog orders per day
Kathy can do 520 catalog orders per day

3 0
3 years ago
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