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Shalnov [3]
3 years ago
8

3. Use De Morgan's laws to write an equivalent statement for the given sentence. If Ashley buys a house, then she will not buy a

new car or she will look for a second job. Which statement is equivalent to the given sentence?
A. If Ashley buys a house, then it is false that she will buy a new car or she will not look for a second job.


B. If Ashley buys a house, then it is false that she will buy a new car and she will not look for a second job.

C. If Ashley does not buy a house, then it is false that she will buy a new car and she will no look for a second job.

D. If Ashley does not buy a house, then it is false that she will buy a new car or she will not look for a second job.​
Mathematics
1 answer:
Usimov [2.4K]3 years ago
6 0
It’s A I just took the test
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The length of each side of a triangle is increased by 30%. By what percentage is the area increased?
patriot [66]

Answer:

When sides are doubled, the area of new triangle will always be 4 times the original, the change in area will be 3 times. Hence the % change will always be 300% irrespective of the type of triangle.

Step-by-step explanation:


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4 times what equals 3/4
AURORKA [14]

Answer:

Is there supposed to be a fraction on the 4??

Step-by-step explanation:

5 0
3 years ago
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You need to find the LCM of 13 and 14. Would you rather use their multiples or their prime factorizations? Explain.
Vladimir [108]

Answer:

I would rather use their multiples.

Step-by-step explanation:

With 13 and 14, neither number has many factors (and few prime factors, for that matter) so factoring would be pretty much useless. If you wanted to use the prime factors of 14 (7 and 2) multiplying either of them by 13 would not give you the LCM. Actually the LCM is just 13*14 which is 182.

Good luck!

5 0
3 years ago
Need help pls<br>thank you in advance ​
ira [324]

Answer:

<h3><u>Mean</u></h3>

<u />

\textsf{Mean}\:\overline{X}=\sf \dfrac{\textsf{sum of all the data values}}{\textsf{total number of data values}}

\implies \sf Mean\:(Nilo)=\dfrac{5+6+14+15}{4}=\dfrac{40}{4}=10

\implies \sf Mean\:(Lisa)=\dfrac{8+9+11+12}{4}=\dfrac{40}{4}=10

<h3><u>Standard Deviation</u></h3>

\displaystyle \textsf{Standard Deviation }s=\sqrt{\dfrac{\sum X^2-\dfrac{(\sum X)^2}{n}}{n-1}}

\begin{aligned}\displaystyle \textsf{Standard Deviation (Nilo)} & =\sqrt{\dfrac{(5^2+6^2+14^2+15^2)-\dfrac{(5+6+14+15)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{482-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{82}{3}}\\\\& = 5.23\end{aligned}

\begin{aligned}\displaystyle \textsf{Standard Deviation (Lisa)} & =\sqrt{\dfrac{(8^2+9^2+11^2+12^2)-\dfrac{(8+9+11+12)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{410-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{10}{3}}\\\\& = 1.83\end{aligned}

<h3><u>Summary</u></h3>

Nilo has a mean score of 10 and a standard deviation of 5.23.

Lisa has a mean score of 10 and a standard deviation of 1.83.

The <u>mean</u> scores are the <u>same</u>.

Nilo's standard deviation is higher than Lisa's.  Therefore, Nilo's test scores are more <u>spread out</u> that Lisa's, which means Lisa's test scores are more <u>consistent</u>.

5 0
2 years ago
Factor by finding the GCF:<br> 8x-10
lys-0071 [83]

Answer:

The GCF is 2

Step-by-step explanation:

Hope this helps!!

3 0
3 years ago
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