If there are 60 min in a hour, 60 sec in min and 10 counts in a second how much is half of a second

Mathematics

1 answer:

Sedbober [7]3 years ago

8 0

There are 5 counts in half a second

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The product of two rational numbers is irrational.

PtichkaEL [24]

Answer:

The statement is false.

Step-by-step explanation:

Here we need to remember some things:

Integer numbers are closed under multiplication.

This means that for two integers a and b, the product a*b is also an integer.

A rational number is a number that can be written as the quotient of two integer numbers.

An irrational number is a number that can't be written as the quotient of two rational numbers.

Now let's see the statement:

"The product of two rational numbers is irrational."

The product of two rational numbers is written as:

$\frac{a}{b} *\frac{c}{d}$

Where a, c, b, and d are integers.

We can rewrite that product as:

$\frac{a*c}{b*d}$

Because of the first property, we know that a*c is an integer, and b*d is also an integer, so here we have a quotient of two integer numbers, so this is a rational number.

Then the product of two rational numbers is a rational number.

Then the statement is false.

7 0

3 years ago

Q and R are independent events. P(Q) = 0.4; P(Q AND R) = 0.08. Find P(R).

algol [13]

Because Q and R are independent, you have

$\mathbb P(Q\cap R)=\mathbb P(Q)\times\mathbb P(R)$
$0.08=0.4\times\mathbb P(R)$
$\implies \mathbb P(R)=0.2$