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r-ruslan [8.4K]
3 years ago
10

A school for learning foreign languages has 72 students who learn German, and 54 of those students also learn Russian. There are

12 students who do not learn German but learn Russian, and 10 students do not learn either German or Russian. Which table best shows the conditional relative frequency of rows for the data?

Mathematics
2 answers:
eimsori [14]3 years ago
6 0
I believe it the first table hope this helps you.
densk [106]3 years ago
6 0
<h2>Answer with explanation:</h2>

The conditional relative frequency of rows:

It is the relative frequency corresponding to each row.

It is obtained when we divide each entry of each row by it's corresponding row total.

It is given that:

  • A school for learning foreign languages has 72 students who learn German, and 54 of those students also learn Russian.

This means that the sum of the first column i.e. who learn German is: 72

and first entry of first row is: 54

Hence, first entry of second row is: 72-54=18

  • There are 12 students who do not learn German but learn Russian.

This means that the second entry of first row is: 12

  • 10 students do not learn either German or Russian.

This means that the second entry of second row is: 10.

  • Sum of first row is: 54+12=66
  • Sum of the second row is: 18+10=28
  • Total sum is: 66+28=94
  • Sum of the second column is: 10+12=22

          The FIRST TABLE is the answer.

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A manager is comparing the cost of buying ball caps with the team emblem from two different companies. Company X charges a $50 f
Nady [450]

Answer:

10 ball caps

Step-by-step explanation:

In this question, we are trying to know the number of caps the manger would buy that would equate the cost at both companies.

How do we get this?

Since we do not know the number of caps, let’s assign a variable. Let the number of caps that is required be x. Let’s now make some costings in terms of x. We proceed;

Company X charges $50 fee plus $7 per cap. Total amount company X will charge on x caps will be; $50 + $7(x) = $50 + $7x

Company Y will charge $30 plus $9 per cap. Total amount company Y will charge on x caps will be $30 + $9(x) = $30 + $9x

We are trying to look at the value of x that will make both costs equal. What we do is to equate both costs.

30 + 9x = 50 + 7x

We simply by taking like terms to the same sides

9x-7x = 50-30

2x = 20

x = 20/2 = 10

X = 10

So what this means is that manger has to buy 10 caps to have the same cost in both companies

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3 years ago
What is the polygon name for the shape above?
ICE Princess25 [194]
THat's lightning brodda 
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A point lies in quadrant 2. If it is rotated 180 degrees counterclockwise, which quadrant will the point come to rest?
NeTakaya
A point (a, b) in the second Quadrant, is any point where a is negative and b is positive.

For example (-3, 5), (-189, 14) etc are all points in the 2.Quadrant

Rotating a point P(x, y) in the second Quadrant 180° counterclockwise, means rotating 180° counterclockwise about the origin, which maps point P to P'(-a, -b) in the fourth Quadrant.

3 0
3 years ago
If a 4 x 16 rectangle has the same area as a square, what is the length of a side of the square?
Licemer1 [7]

Answer:

Option D. 8 units

Step-by-step explanation:

step 1

Find the area of rectangle

The area of rectangle is

A=(4)(16)=64\ units^2

step 2

Find the length side of the square with the same area of rectangle

The area of a square is

A=b^2

where

b is the length side of the square

we have

A=64\ units^2

substitute

64=b^2

take the square root both sides

b=8\ units

therefore

The length side of the square is 8 units

7 0
3 years ago
The length of a rectangular poster is 9 more inches than two times its width. The area of the poster is 161 square inches. Solve
irinina [24]

Answer:

<u>Width = 7 inches</u>

<u>Length = 23 inches</u>

Step-by-step explanation:

Let :

  • length = 2x + 9
  • width = x

Equating to area :

  • (2x + 9)(x) = 161
  • 2x² + 9x = 161
  • 2x² + 9x - 161 = 0
  • 2x² - 14x + 23x - 161 = 0
  • 2x(x - 7) + 23(x - 7) = 0
  • x - 7 = 0
  • x = 7

Dimensions are :

  • <u>Width = 7 inches</u>
  • Length = 2(7) + 9
  • <u>Length = 23 inches</u>
8 0
2 years ago
Read 2 more answers
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