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german
3 years ago
5

Please help, math question.

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
6 0
Part a) 
Identify the variable and categories


By reading the above statement, we can find that there are two variables and each variable has 2 categories. The variables and their categories are:
1) Class Number
This variable is further divided into 2 categories i.e. Class 9th and Class 10th.

2) Participation in Extracurricular activities
This variable is further divided into 2 categories based on if students participated or not.

Part b)
Set up and fill 2 way table.

Since, we have 2 variables and each variable has 2 categories the number of data cells will be 2 x 2 = 4 cells

There are total 100 students. 40 students are in class 10th. This means 60 students are in class 9th.Out of 40 students in class 10th, 18 students participate in at least one extracurricular activity. So remaining 22 students do not participate. 32 students from class 9th participate in extracurricular activities, this means the remaining 28 students do not participate. Based on this data, we can fill up the table as shown below
 

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snow_tiger [21]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
Mary invests $800 into a high interest savings account. In the first year, the value of her saving increases by 8%. In the secon
g100num [7]

Answer:

The Total value after 2 years=933.12

Step-by-step explanation:

The total value of Mary's investment after two years  can be expressed as;

Total value=(Initial investment+Interest)

where;

For the first year,

Initial investment=$800

Interest=Initial investment×interest rate×time

where; Initial investment=800, Interest rate=8%, time=1 year

replacing;

Interest=800×(8/100)×1=$64

Interest=$64

Total value after 1 year=(800+64)=$864

For the second year,

Initial investment=$864

Interest=Initial investment×interest rate×time

where; Initial investment=864, Interest rate=8%, time=1 year

replacing;

Interest=864×(8/100)×1=$69.12

Interest=$69.12

Total value after 2 years=(864+69.12)=$933.12

The Total value after 2 years=933.12

8 0
3 years ago
If you help I will give you brainiest
Feliz [49]

9514 1404 393

Answer:

  5 miles

Step-by-step explanation:

It may get a bit messy, but we can solve for the desired value directly. Let d = the distance walked (in miles). Then 20-d is the distance traveled in the car. The relevant relation is ...

  time = distance / speed

The total travel time is 9:00 -6:50 = 2:10 = 2 1/6 hours = 13/6 hours. Here is the equation for total travel time.

  total time = time spent walking + time spent riding

  13/6 = (d/3) + (20-d)/30

Multiplying by 30 gives ...

  65 = 10d + 20 -d

  45 = 9d . . . . . . . . . . subtract 20

  5 = d . . . . . . . . . . . . divide by 9

The girl walked 5 miles.

_____

<em>Check</em>

Her walking time was (5 mi)/(3 mph) = 5/3 h = 1:40.

Her riding time was (15 mi)/(30 mph) = 1/2 h = 0:30.

Her total travel time was 1:40 +0:30 = 1:70 = 2:10, as required.

5 0
3 years ago
arrange the expressions in the correct sequence to rationalize the denominator of the expression -(2)/(\sqrt(x+y-2)-\sqrt(x+y+2)
cupoosta [38]
We have to rationalize the denominator:
\frac{-2}{ \sqrt{x+y-2} - \sqrt{x+y+2} } = \\  \frac{-2}{ \sqrt{x+y-2} -  \sqrt{x+y+2} }* \frac{ \sqrt{x+y-2}+ \sqrt{x+y+2}  }{ \sqrt{x+y-2}+ \sqrt{x+y+2}  }= \\  \frac{-2*( \sqrt{x+y-2}+ \sqrt{x+y+2})  }{x+y-2-(x+y+2)}= \\  \frac{-2*( \sqrt{x+y-2}+ \sqrt{x+y+2})  }{x+y-2-x-y-2}= \\  \frac{-2*( \sqrt{x+y-2}+ \sqrt{x+y+2}  }{-4}= \\  \frac{ \sqrt{x+y-2}+ \sqrt{x+y+2}  }{2}
6 0
3 years ago
Read 2 more answers
Order 1.62, 16.2%, 15/20 from greatest to least
N76 [4]
1.62, 15/20, 16.2% is the answer
3 0
3 years ago
Read 2 more answers
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