If x/yis rational, must x and y each be rational?
A) Yes; because the quotient of rationals is rational.
B) No; because x and y could have a common irrational factor.
C) No; because the quotient of irrationals is always irrational.
D) Yes; because x and y must be integers, and integers are rational.
Answers
Consider the fraction
Both the numerator and denominator, when by themselves, are irrational.
However, when they are divided, they result in the rational number
When
Answer: The answer is B.
Step-by-step explanation:
No; because x and y could have a common irrational factor.
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Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution. Please explain how you got the answer. e^x=3.42^x+6=3
Answers
Answer:
The Mean of the sampling distribution is μ = p = 0.61
Step-by-step explanation:
Given size of the sampling distribution (n) = 50
Suppose the population proportion of American citizens who are in favor of gun control is .61
That is p = 0.61
Sampling distribution of proportions:-
Let p be the probability of occurrence of an event (called its success) and q =1-p is the probability of non- occurrence (called its failure).Draw all possible samples of size n from an infinite population.
Compute the proportion P of success for each of these samples. Then
and variance sampling distributions are given by
and
variance
Standard deviation (S.D) =
Mean of the sampling distribution:-
The Mean of the sampling distribution is μ = p
Given data the proportion of American citizens who are in favor of gun control is 0.61
p = 0.61
The Mean of the sampling distribution is μ = p = 0.61
Answers
N=0
If the question is 2/3=2+N/3
N=-4
Answers
120 * .70 = 84
84 pounds of blood in the body of an 120 pound person.
Final answer:
The weight of water in a person's body can be determined by multiplying the total body weight by 0.7, since about 70% of the human body is water. So for a person weighing 120 pounds, 120 * 0.7 = 84 pounds of their weight is water.
Explanation:
To determine how much water is in a person's body who weighs 120 pounds, we will have to multiply the total weight of the person by the proportion of the human body that is water. We know that about 70% (or 7/10) of the human body is water. In mathematical terms, that can be done as follows:
- Convert the percentage to a decimal by dividing by 100 or simply using the given fraction 7/10 which is equivalent to 0.7.
- Multiply the weight of the person (120 pounds) by the decimal. So, 120 * 0.7 = 84 pounds.
Therefore, a person who weighs 120 pounds has approximately 84 pounds of water in their body.
Learn more about Body Water Content here:
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A bag has 5 red marbles, 6 blue marbles and 4 black marbles. What is the probability of a blue marble, replacing it, and then picking a black marble? 8/75 4/45 1/9
Answers
The probability of pulling a blue marble from the full bag is 6/15 .
The probability of pulling a black marble from the full bag is 4/15 .
The probability of both events happening is
(6/15) x (4/15) = 24/225 = 8/75
All help is appreciated
Answers
Here is the graph using Desmos (highly recommended for this kind of question.
The red line is for f(x) and the blue line is for g(x)
I think the answer is A.