Given the definition of rational numbers, are decimals like 0.5 and 0.3 rational numbers? Why or why not?

Answers

Answer 1

Answer:

Givendecimals like 0.5 and 0.3 are rational numbers because they are terminating decimals and can be written as p/q

What are rational numbers?

Rational numbers are numbers which can be written in the form p/q , where p and q are integers ,q≠0, highest common factor of p and q is 1.

The decimal expansion of rational number are terminating decimal expansion or non terminating and recurring decimal expansions.

Examples of rational number: 1/2 , 3/4, 13/2, 0.125,0.5, 0.55555....,

0.1212121212.....

As the given decimals 0.5 and 0.3 have terminatingdecimal expansion therefore they are rational numbers.

The rational form of 0.5 and 0.3 are

0.5 = 5/10 = 1/2

∴ 0.5 is written as p/q with p= 1 and q =2≠0 , p and q are coprime

0.3 = 3/10

∴ 0.3 is written as p/q with p= 3 and q =10≠0 , p and q are coprime

Therefore, 0.5 and 0.3 are rational numbers.

Also, Learn more about rational numbers from the link below:

brainly.com/question/24398433

#SPJ2

Answer 2

Answer:

Answer:

Yes they are rational numbers

Step-by-step explanation:

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The probability of event A is x, and the probability of event B is y. If the two events are independent, which of these conditions must be true?a. P(B|A) = y
b. P(A|B) = y
c. P(B|A) = x
d. P(A and B) = x + y

e. P(A and B) = x/y

P(A)

Answers

The right answer for the question that is being asked and shown above is that: "d. P(A and B) = x + y." The probability of event A is x, and the probability of event B is y. If the two events are independent, the condition must be true is this d. P(A and B) = x + y

If two events are independent, then

$Pr(A\cap B)=Pr(A)\cdot Pr(B)$ .

Use formulas for conditional probabilities:

For independent events these formulas will be:

Now in your case $Pr(A)=x,\ Pr(B)=y$ and $Pr(A|B)=x,\ Pr(B|A)=y, Pr(A\cap B)=x\cdot y$ .

This shows that the only correct choice is A.

I rlly need help someone pls help

Answers

true because it’s the exact same

i think the answer is false. in order for those angles to be the same, 4 and 5 would also need to be the same, which they are not, but there is virtually no way to tell without numbers. however i believe the answer is false

bro i had 10,000 points on brainly, and some weird a.i. deleted all my answers to all the questions i answered so now i only have 732 points?!