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Alexxandr [17]
3 years ago
10

Explain how the inverse and the contopositivve of a conditional are alike and how they are different

Mathematics
1 answer:
anygoal [31]3 years ago
5 0

Answer:

See explanation!

Step-by-step explanation:

The contrapositive of a conditional is similar to, yet different from, the inverse of the conditional.

The best way to explain this is to create an example. You should start by creating a conditional; you can then form the conditional's inverse and contrapositive.

<u>Here is an example:</u>

Conditional: If C, then D. (starting statement)

Inverse: If not C, then not D. (opposite of the conditional)

Contrapositive: If not D, then not C. (reversed opposite of the conditional)

<u>Based on the information from the example, you can conclude:</u>

<u>Primary Similarity:</u>

Both the contrapositive and the inverse are opposites of the conditional (both contain not, implying something would not happen under the given circumstances, rather than something would happen under those circumstances).

<u />

<u>Primary Difference:</u>

The contrapositive is a reversed version of the inverse; this causes them to most commonly have different meanings.

I am sure you could find more similarities/differences, but these were the two that stood out to me the most!

I hope this helps! :)

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2x=34+36y<br> slope intercept form
lana66690 [7]

Answer:

y=1/18x-17/18

Step-by-step explanation:

2x=34+36y

36y=2x-34

y=2/36x-34/36

y=1/18x-17/18

3 0
3 years ago
The sum of<br> sum of two numbers is 39 and their difference is 5. What is the larger number?
julsineya [31]

Answer:

Step-by-step explanation:

it is 39

8 0
4 years ago
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The table below shows data from a survey about the amount of time students spend doing homework each week. The students were in
nadezda [96]

Answer:

The correct option is;

Both spreads are best described by the standard deviation

Step-by-step explanation:

The given information are;

,                                    College                       High School

High,                              20                               20

Low,                                6                                 3

Q₁,                                   8                                 5.5

Q₃,                                  18                                16

IQR,                                 10                                10.5

Median,                           14                                11

Mean,                              13.3                             11

σ,                                      5.2                             5.4

Checking for outliers, we have

College

Q₁ - 1.5×IQR gives 8 - 1.5×10 = -7

Q₃ + 1.5×IQR gives 18 + 1.5×10 = 33

For high school

Q₁ - 1.5×IQR gives 5.5 - 1.5×10.5 = -10.25

Q₃ + 1.5×IQR gives 16 + 1.5×10.5 = 31.75

Therefore, there are no outliers and the data is representative of the population

From the data, for the college students, it is observed that the difference between the mean, 13.3 and Q₁, 8, and between Q₃, 18 and the mean,13.3 is approximately the standard deviation, σ, 5.2

The difference between the low and the high is also approximately 3 standard deviations

Therefore the college spread is best described by the standard deviation

Similarly for the high school students, the IQR is approximately two standard deviations, the  difference between the mean, 11 and Q₁, 5.5, and between Q₃, 16 and the mean,11 is approximately the standard deviation, σ, 5.4

Therefore the high school spread is also best described by the standard deviation.

4 0
3 years ago
Match the terms to their definition. 1. part-whole ratio a ratio comparing a portion of a whole quantity to the whole quantity 2
dem82 [27]

Answer:

They're already matched... at least they way you typed it.

Step-by-step explanation:

A ratio is a comparison of two numbers as a fraction or quotient. A part-whole ratio is a ratio comparing a part of something to the whole thing. A part-part ratio is ratio comparing two different parts of one whole.

4 0
3 years ago
Bridgette made a graph of her neighborhood on a coordinate grid. The points A(-2, 3), B(-2, -2), C(2, -2), and D(2, 3) represent
vodka [1.7K]

Answer:

\boxed{\text{18 blocks}}

Step-by-step explanation:

Distance travelled on graph = AB + BC + CD + DA  

AB = CD  = (3 +2) = 5

BC = AD = 2 –(-2) = 4

Distance on graph = 2 × 5 + 2 × 4 = 10 + 8 = 18 spaces = 18 blocks

Bridgette jogs \boxed{\textbf{18 blocks}}each day.

8 0
3 years ago
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