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Anton [14]
3 years ago
6

Mr.Lee wants to survey 20 of the 210 students in seventh grade about the hours they slerp each night. He finds 2 of the 20 stude

nts surveyed sleep for 9 hours each night. About how many of the 210 seventh graders sleeo for 9 hours each night?​
Mathematics
1 answer:
allsm [11]3 years ago
6 0

21 students sleep for 9 hours each night

<em><u>Solution:</u></em>

Given that, Mr.Lee wants to survey 20 of the 210 students in seventh grade about the hours they sleep each night

He finds 2 of the 20 students surveyed sleep for 9 hours each night

Therefore, 2 out of 20 students sleep for 9 hours each night

Find out the percentage of 2 out of 20

\rightarrow \frac{2}{20} \times 100 = 10 \%

Thus 10 % of 210 students sleep for 9 hours each night

Find out 10 % of 210

\rightarrow 10\% \text{ of } 210\\\\\rightarrow 10 \% \times 210\\\\\rightarrow \frac{10}{100} \times 210\\\\\rightarrow 21

Thus 21 students sleep for 9 hours each night

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3 years ago
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If f(x)=1/9x-2, what is f-1(x)
aleksandr82 [10.1K]
To find the inverse of f(x), you solve for the independent variable, x, and then swap the variable labels.  The reason for doing so is easily seen if one remembers what an inverse function really is.  The inverse function will produce the opposite coordinate as the parent function.  If f(x)=(x,y), f^-1(x)=(y,x), so the inverse function simply creates the inverse of all of the points that exist for f(x)...with that out of the way, let y=f(x), then:

y=1/(9x-2)  (I am trying to decipher what you actually meant to type)

Multiply both sides by (9x-2)

y(9x-2)=1  divide both sides by y

9x-2=1/y  add 2 to both sides

9x=1/y+2  which is equal to

9x=(1+2y)/y  divide both sides by 9

x=(1+2y)/(9y)  now switch labels...

y=(1+2x)/(9x)

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y=x/9-2  which can be written as:

y=(x-18)/9  multiply both sides by 9

9y=x-18  add 18 to both sides

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y=9x+18

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The denominator must be made clear in this format by using () brackets, otherwise it is anyone's guess...
3 0
3 years ago
Item 1 Solve for s. s+24=90 −114 −66 66 114
PSYCHO15rus [73]

Answer:

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Step-by-step explanation:

s + 24 = 90               <em>subtract 24 from both sides</em>

s + 24 - 24 = 90 - 24

s = 66

5 0
3 years ago
7. How tall is the flagpole? 25.7 feet 18.9 feet 9.6 feet 10 feet
Zanzabum

Answer:correction so 1] y = 3x + 7

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// Use the x value to solve for y

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Step-by-step explanation:

7 0
2 years ago
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