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STALIN [3.7K]
3 years ago
13

Based on your knowledge of the hypothetical method, which of the following accurately describe the relationship between evidence

and hypotheses?
a. A hypothesis does not direct the search for evidence.
b. A hypothesis can be proven true as long as one of its implications is shown to be true.
c. A hypothesis can be proven false if one of its implications is shown to be false.
d. A hypothesis is derived from the evidence at hand: the evidence produces the hypothesis.
Mathematics
1 answer:
klemol [59]3 years ago
4 0

Answer:

d. A hypothesis is derived from the evidence at hand; the evidence produces the hypothesis.

Step-by-step explanation:

Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis. The evidence suggests that a certain hypothesis is tested for its reliability. The hypothesis is accepted or rejected on the basis of its underlying evidences.

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allochka39001 [22]

Part A

  • Converse = "If corresponding angles are equal, then two lines are parallel"
  • Result = True

Explanation:

Refer to the converse of the corresponding angles theorem. The original version is stated as part A, and the converse is marked in bold above.

Conditional statements are of the form "if this, then that". Symbolically we can use the template "If P, then Q". The P and Q are placeholders for logical statements.

The converse of "if P, then Q" is "If Q, then P". We swap the positions of P and Q. Do not negate either piece.

========================================================

Part B

  • Converse = "If angle C is 70 degrees, then the sum of angles A and B is 110 degrees"
  • Result = True

Explanation:

Recall that for any triangle, the three interior or inside angles always add to 180 degrees. In short: A+B+C = 180. If C = 70, then A+B = 180-C leads to A+B = 180-70 and A+B = 110. This process can be reversed.

========================================================

Part C

  • Converse = "If two lines are not parallel, then alternate interior angles k and s are not equal"
  • Result = True

Explanation:

For more information, check out the converse of the alternate interior angles theorem. The regular version of the theorem is "If two lines are parallel, then the alternate interior angles are congruent".

The converse of this theorem flips things to say: "If alternate interior angles are congruent, then the lines are parallel".

========================================================

Part D

  • Converse = "If John loses his money, then he throws coins in the fountain"
  • Result = False

Explanation:

Throwing coins in a fountain is one way to lose money, but there are other ways. He could drop a coin somewhere, or leave the coin somewhere he forgot.

In other words, just because he lost his money does not mean he threw a coin in the fountain.

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