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madreJ [45]
3 years ago
8

Conditional Statement: if p then q The converse form of a conditional statement is when: O p and q are switched, and both negate

d. p and the q are switched. Neither p or q is negated. O p and q are both negated. Neither p or q are swithced.​

Mathematics
1 answer:
nordsb [41]3 years ago
4 0
<h3>2 Answers: </h3>

B)  p and the q are switched

C) Neither p or q is negated

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

Explanation:

The original conditional "if P, then Q" has P and Q swap places to form the converse. So the converse would be "if Q, then P". We don't negate P, and we don't negate Q either.

Here is the full list

  • Original = If P, then Q
  • Converse = If Q, then P
  • Inverse = If not P, then not Q
  • Contrapositive = If not Q, then not P

Side notes:

  • The original and contrapositive are equivalent in truth value.
  • The converse and inverse are equivalent in truth value.
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6 Paul runs 1.5 km on the bearing 127°. a Draw a diagram of the situation. b How far east is Paul from his starting point? ( How
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By running in a bearing of 127°, Paul motion is in the south eastern direction.

Correct responses:

a. Please find attached the required diagram created with MS Visio

b. Paul's distance travelled east is approximately 11.98 km

  • Paul's distance travelled south is approximately 0.903 km

<h3>Method used for diagram and for the distance calculation</h3>

Given:

The distance Paul runs = 1.5 km

The bearing Paul is running = 127°

a. The bearing of path Paul runs, 127°, is the angle measured in the clockwise direction relative to the northern direction

Please find attached the diagram representing the situation, created with MS Visio.

b. Paul's distance travelled east relative to the starting point is given by the component of Paul's path in the x-axis direction which is found as follows;

  • Paul's distance east =  15 km × cos(37°) ≈ <u>11.98 km</u>

Pau's distance travelled in the south direction relative to the starting point

is given by the vertical distance travelled relative to the x-axis, which is

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Distance Paul travels south = 1.5 km × sin(37°) ≈ <u>0.903 km</u>

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2 years ago
Collins Middle School has 240 sixth grade students. If the sixth grade is 30% of the total school, how many students are in the
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Answer:

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We can set up a proportion using the information we are given. We know that 240 students corresponds to 30% and that the total number of students, x, corresponds to 100%

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240 * 100 = 30x

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The correct option is B.

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  • While many colleges and universities grant liberal arts degrees, a liberal arts college offers a focused liberal arts education.
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What's the difference between a liberal arts college and a regular college?

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