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Arturiano [62]
3 years ago
6

Write 10 × 10 × 10 with an exponent. Explain how you decided which exponent to write.

Mathematics
1 answer:
n200080 [17]3 years ago
3 0
10^3 is the answer to this
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In a certain community, 36 percent of the families own a dog and 22 percent of the families that own a dog also own a cat. In ad
zysi [14]

Answer:  a) 0.0792   b) 0.264

Step-by-step explanation:

Let Event D = Families own a dog .

Event C = families own a cat .

Given : Probability that families own a dog : P(D)=0.36

Probability that families own a dog also own a cat : P(C|D)=0.22

Probability that families own a cat : P(C)= 0.30

a) Formula to find conditional probability :

P(B|A)=\dfrac{P(A\cap B)}{P(A)}\\\\\Rightarrow P(A\cap B)=P(B|A)\times P(A)   (1)

Similarly ,

P(C\cap D)=P(C|D)\times P(D)\\\\=0.22\times0.36=0.0792

Hence, the probability that a randomly selected family owns both a dog and a cat : 0.0792

b) Again, using (2)

P(D|C)=\dfrac{P(C\cap D)}{P(C)}\\\\=\dfrac{0.0792}{0.30}=0.264

Hence, the conditional probability that a randomly selected family owns a dog given that it owns a cat = 0.264

5 0
3 years ago
Jina is pumping water into a tank at a rate of 15 liters per minute. Since she started pumping water, 13 liters has splashed out
baherus [9]

Step-by-step explanation:

subtract-13 from -13 get zero

then, subtract 13 from 77 =64

then do divide 15 from 15

then divide 15 from 64 = 4.26 repeat

8 0
3 years ago
A car moved at a constant velocity during the first hour. It stopped for 2 hours at a mall and then moved ahead again at a const
JulsSmile [24]
<span>You are given a car moved at a constant velocity during the first hour. It stopped for 2 hours at a mall and then moved ahead again at a constant velocity for the next 3 hours. Then you are given the car that has finally returned to its starting point with a constant velocity in the next 2.5 hours. The graph that best represents the car's motion is First straight line joins ordered pairs 0, 0 and 1, 60, second straight line joins 1, 60 and 3, 60, third straight line joins 3, 60 and 6, 100 and fourth straight line joins 6, 100 and 8.5, 0.</span>
8 0
4 years ago
Read 2 more answers
What is the inequality of -1/12 ≥6
klasskru [66]
The inequality of -1/12 >6 is 2
3 0
3 years ago
A movie theatre has 26 rows of seats.There are 18 seats in each row.How many seats are there in all?
lawyer [7]
468 seats is the answer.

26 x 18

or

13 x 2 x 9 x 2

both equal 468
5 0
3 years ago
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