The product of two rational numbers is always rational because (ac/bd) is the ratio of two integers, making it a rational number.
We need to prove that the product of two rational numbers is always rational. A rational number is a number that can be stated as the quotient or fraction of two integers : a numerator and a non-zero denominator.
Let us consider two rational numbers, a/b and c/d. The variables "a", "b", "c", and "d" all represent integers. The denominators "b" and "d" are non-zero. Let the product of these two rational numbers be represented by "P".
P = (a/b)×(c/d)
P = (a×c)/(b×d)
The numerator is again an integer. The denominator is also a non-zero integer. Hence, the product is a rational number.
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Answer:
Step-by-step explanation:
Given
there are 50 winning number out of which 40 get $ 100 each and 10 wins $ 1000 .
let x denotes the winning from a randomly selected ticket
Expected value is given by
and Expected return is given by
Answer:
13! or 6227020800
Step-by-step explanation:
With no restrictions, we can figure out the answer to be 13! by the following analysis:
For the first position in line, there are 13 different students who could fill that spot. If we fill it and proceed to the next position in line, there are now only 12 students left who can fill it, since one is already in line. Then the next position only has 11 possibilities, and the next 10, and so on.
Multiplying all of this together gives us 13*12*11*10*9*8*7*6*5*4*3*2*1 or 13!
Answer:
The smaller number is 240.
Step-by-step explanation:
The question says that the larger number is 300, so 5 has to be 300.
4:5
?:300
You can use cross-multiplication or find the scale factor to find the answer.
Cross-multiplication:
4 × 300 ÷ 5 = 240
Finding the scale factor:
300 ÷ 5 = 60
4 × 60 = 240
The smaller number is 240.
According to the In context, the phrase "This from her" (lines 47-48) helps to suggest that a <u>certain decision is out of character</u>
The correct option is C.
<h3>Explanation:</h3>
In the lines 47-48 the phrase "This from her" described that is complaining that everything she did was in vain, and that she later thought she would spend the rest of her days in New York, which led her to the choice she didn't want to make.
<h3>How do comprehension passages work?</h3>
Reading comprehension questions have a high chance of being scored. A passage is presented to us, along with some questions. Even if the information in the passage deviates from actual facts, the questions must be answered using it.
<h3>Describe a comprehension example.</h3>
The definition of comprehension refers to your capacity for understanding something or to the degree to which you actually comprehend something. Your level of understanding of a challenging math problem is an illustration of comprehension.
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