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Sergio [31]
2 years ago
12

Is the percent increase from 50 to 70 equal to the percent decrease from 70 to 50? Explain.

Mathematics
2 answers:
Lera25 [3.4K]2 years ago
8 0

Answer: The percents are not equal. The problem with the increase is 50 to 70 which is 20/50, which is 40%, and the percent decrease from 70 to 50 is 20/70, or 29%.  

Step-by-step explanation:

Salsk061 [2.6K]2 years ago
4 0

Answer:

  • No

Step-by-step explanation:

  • <em>Percent change is the difference in numbers divided by initial number converted to percent value.</em>

<u>Percent increase:</u>

  • (70 - 50)/50*100% = 40%

<u>Percent decrease:</u>

  • (70 - 50)/70*100% = 28.57%

<u>Compare:</u>

  • 40% ≠ 28.57%
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4 0
3 years ago
Of the 32 students in a class, 18 play the violin, 16 play the piano, and 7 play neither.
german

Answer:

(a)9

(b)I. 0.28125

II. 0.46875

III. 0.25

Step-by-step explanation:

There are a total of 32 students, therefore the number of elements in the Universal set, n(U)=32

1$8 play the violin, n(V)=18\\16 play the piano, n(P)=16\\ 7 play neither, n(P \cup V)' =7

(a)The Venn diagram is attached below.

n(U)=n(V)+n(P)-n(V \cap P)+ n(P \cup V)'\\32=18+16+7-n(V \cap P)\\32=41-n(V \cap P)\\n(V \cap P)=41-32\\n(V \cap P)=9\\

Therefore, 9 students play both the violin and  piano.

(b)

I. Probability that the student  plays the violin but not the piano

Number of Students who play violin only =18-x=18-9=9

P(V \cap P') = \dfrac{n(V \cap P')}{n(U)}\\= \dfrac{9}{32}\\=0.28125

ii.Probability that the student does not play the violin

Number of Students who does not play violin only =17-x+7=17-9+7=15

P(does not play violin only)

= \dfrac{15}{32}\\=0.46875

iii.Probability that the student plays the piano but not the violin

Number of Students who play piano only =17-x=17-9=8

P(V' \cap P) = \dfrac{n(V' \cap P)}{n(U)}\\= \dfrac{8}{32}\\\\=0.25

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3 years ago
Helppppp plsssssss- :
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Answer:

Q4 = 4 || Q5 = 6 2/3 || Q6 = 4 4/7 || Q7 = 10 || Q8 = 3 1/3 || Q9 = 4 1/2

Step-by-step explanation:

In order to divide fractions, you just have to turn it into multiplying!
Flip the second fraction in the number sentence and then multiply!

Example: 5 divided by 6/7

Keep 5 as it is. Flip 6/7 to 7/6. 5 x 7/6 = 35/6

Now, simplify it! Simplifying is very simple. You just have to divide until they can't be divided anymore.

35/6 simplified = 5 5/6.

Reason:

How many 6's are in 35? 5 R: 5

So, then it would be 5 5/6.

Hope this helped and this was correct! If you have any more questions, I'll be here to answer them!

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Technically it's 0.12 but I only say this because they rounded by from 58 to 60 in their question

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