<span>In logic, the converse of a conditional statement is the result of reversing its two parts. For example, the statement P → Q, has the converse of Q → P.
For the given statement, 'If a figure is a rectangle, then it is a parallelogram.' the converse is 'if a figure is a parallelogram, then it is rectangle.'
As can be seen, the converse statement is not true, hence the truth value of the converse statement is false.
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The inverse of a conditional statement is the result of negating both the hypothesis and conclusion of the conditional statement. For example, the inverse of P <span>→ Q is ~P </span><span>→ ~Q.
</span><span><span>For the given statement, 'If a figure is a rectangle, then it is a parallelogram.' the inverse is 'if a figure is not a rectangle, then it is not a parallelogram.'
As can be seen, the inverse statement is not true, hence the truth value of the inverse statement is false.</span>
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The contrapositive of a conditional statement is switching the hypothesis and conclusion of the conditional statement and negating both. For example, the contrapositive of <span>P → Q is ~Q → ~P. </span>
<span><span>For the given statement, 'If a figure is a rectangle, then
it is a parallelogram.' the contrapositive is 'if a figure is not a parallelogram,
then it is not a rectangle.'
As can be seen, the contrapositive statement is true, hence the truth value of the contrapositive statement is true.</span> </span>
Answer:
y=-10
Step-by-step explanation:
In this problem you're trying to figure out what y equals.
First you subtract 11 from both sides.
30=-3y
Then, you divide each side by -3 to find y.
-10=y
y=-10
Calculate the mean, median, and mode of the following set of data. Round to the nearest tenth. 10, 1, 10, 15, 1, 7, 10, 10, 1, 6
klemol [59]
First order the data:
1, 1, 1, 6, 7, 10, 10, 10, 10, 13, 15
the mean is all the numbers added together divided by how many there are, 1 + 1 + 1 + 6 + 7 + 10 + 10 + 10 + 10 + 13 + 15 = 84 84/11 = 7.636364 ≈ 7.6
the median is the number in the middle of the list, count numbers from each end, until you either have one or two left, if one left then its that one, if two left then its half way between the two
the median for your set is 10
The mode is the most common number, in your set 10
Answer:
200 sets of 10 can be ordered to complete the order of 2,000 cakes.
Step-by-step explanation:
Total numbers of cupcakes to be ordered = 2,000
The number of cupcakes in 1 set = 10
So,
=
or, Number of cupcake sets = 200
Hence, 200 sets of 10 can be ordered.
Hello, the answer is... Well If the car was going 10 mph and he was a foot behind him then he was pedaling 9 miles an our, but please specify..