Please check my answers:
How are the symbols 3/4, 0.75, and 75% related?
They are all different ways to express the same number.
2.(4pts)
Use inductive reasoning to predict the next number in the sequence.
1, 2, 2, 4, 4, 8, . . .8 because each number after 1 is repeated twice.
3.(4pts)
Decide whether the argument is an example of inductive or deductive reasoning. Why?
The last four answers were false, therefore the next will be false.
4.(4pts)
Write the negation of the following:
8 + 2 = 10
8+2�‚10
5.(4pts)
Indicate whether the deductive reasoning used is an example of affirming the hypothesis or denying the conclusion.
If a number is divisible by 3, then the sum of the digits of that number is divisible by 3. A number is divisible by 3. Therefore sum of the digits of that number is divisible by 3
Affirming the hypothesis
6.(4pts)
The population of a town was 35,700 at the beginning of 1970. If the population decreased 400 people per year, how many people lived in the town at the beginning of 1985?
400�~15=6000
35,700-6000=29,700
Determine whether there is a one-to-one correspondence between the two sets. Why or Why not?
{a, b, c, d} and {A, B, C, D} Yes there is a one to one correspondence because there are the same number of items in each set
Determine whether the sets are equal only, equivalent only, both equal and equivalent, or neither equal nor equivalent.
{first, second, third} and {1, 2, 3}
They are equivalent only because they do not have the same exact thing in both sets which is required for them to be equal.
Name the property of addition that has been applied.
0 + 5 = 5
Zero property of addition
A delicatessen serves 13 kinds of sandwiches and 5 kinds of chips. How many different sandwich and chip lunches can they make if each lunch has one sandwich and one bag of chips?
13�~5=65
Let's check your answers:
1. How are the symbols 3/4, 0.75, and 75% related? - Correct! They are all different ways to express the same number.
2. Use inductive reasoning to predict the next number in the sequence. - Correct! Each number after 1 is repeated twice, so the next number would be 8.
3. Decide whether the argument is an example of inductive or deductive reasoning. Why? - Incorrect. This is an example of inductive reasoning because the argument is based on past observations rather than a logical deduction.
4. Write the negation of the following: 8 + 2 = 10 - Correct! The negation would be 8 + 2 ≠ 10 (not equal to).
5. Indicate whether the deductive reasoning used is an example of affirming the hypothesis or denying the conclusion. - Correct! The reasoning is an example of affirming the hypothesis because it confirms that if a number is divisible by 3, then the sum of its digits is divisible by 3.
6. The population of a town was 35,700 at the beginning of 1970. If the population decreased 400 people per year, how many people lived in the town at the beginning of 1985? - Correct! The population decreased 400 people per year for 15 years (1985 - 1970 = 15). So, 400 * 15 = 6000, and 35,700 - 6000 = 29,700.
7. Determine whether there is a one-to-one correspondence between the two sets. - Correct! There is a one-to-one correspondence because there are the same number of items in each set.
8. Determine whether the sets are equal only, equivalent only, both equal and equivalent, or neither equal nor equivalent. - Incorrect. The sets {first, second, third} and {1, 2, 3} are actually both equal and equivalent because they have a one-to-one correspondence.
9. Name the property of addition that has been applied. - Correct! The property applied is the Zero Property of addition.
10. A delicatessen serves 13 kinds of sandwiches and 5 kinds of chips. How many different sandwich and chip lunches can they make if each lunch has one sandwich and one bag of chips? - Incorrect. The correct answer would be 13 * 5 = 65, not 13 * 5 = 65.