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College algebra help?
1. Which of the following sets of numbers is infinite? A. The set of natural numbers less than 5000 B. The set of all whole numbers less than 5,000,000 C. The set of rational numbers less than 50. D. The set of integers between -20 and 20.
2. The following is a list of events. I. Tossing the same coin five times in a row. II. Picking a card from a deck of cards after one has been removed. III. Choosing a red piece of candy from a bag of candy after three pieces have been removed. IV. Choosing a marble from a bag after one has been removed. Which of the listed events cannot be considered independent?
A. I only. B. none of these. C. I and II. D. II III and IV
3. Solve for A. x= a+b over 2
4. Simplify the expression 10-12 / (2^2X3)
Thank you :)
2 Answers
- ?Lv 78 years agoFavorite Answer
1.
A. The set of natural numbers less than 5000
is of course finite: from 0 to 5000,
there are 5001 numbers.
B. The set of all whole numbers less than 5,000,000.
"whole numbers" and naturals numbers have
the same meaning: the set is finite: 5,000,001 numbers.
C. The set of rational numbers less than 50.
the numbers of numbers under the form p/q
is infinite.
D. The set of integers between -20 and 20
is finite:
20 numbers from -20 to -1 plus 0 plus
20 numbers from 1 to 20
so 41 numbers.
the set in answer C is the only infinite set.
2. D. II III and IV
in answer I,
the next toss in independent from
the tosses you've before.
But for II, III, and IV,
something have been removed
so the conditions are not the same as
the conditions of a draw without removing
a card, a candy, etc.
3. x = (a + b)/2
or x = a + b/2
4.
10-10/( (2² x 3) = 10 - 12/(4 x3)
= 10 -12/12 = 10 - 1 = 9
hope it'll help !!
- ?Lv 68 years ago
rational numbers include any number that you can write in exact form. For example, -10,000 is rational, but π is not. So rational numbers extend from negative infinity to positive infinity. So the number of rational numbers less than 50 is ( infinity - 0 + 49), which is infinity.
2
I is independant. No matter how many times you flip a coin, none of the previous results will affect the next.
3
x = (a + b) / 2
2x = a + b
2x - b = a
4
(2^2X3)
I don't know what this means. Is this:
2^(2)x^3
2^(2)x*3
2^(2x*3)
2^(2*3)