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lidiya [134]
3 years ago
14

The question is below

Mathematics
1 answer:
Anna35 [415]3 years ago
8 0

Answer:

12) A = 27

13) B =  36

14) C = 25

15) D = 30

Step-by-step explanation:

We need to complete the ratio tables

We are given:

Footballs 15   5   20   C     D

Baseballs A   9    B    45   54

The table shows the ratio of footballs to baseballs.

We are given the ratio \frac{Football}{Baseball}=\frac{5}{9}

All other ratios will also be simplified to get \frac{5}{9}

12) Calculate A

Footballs = 15

Baseballs = A

Common ratio is 5/9, we need to find a number that multiplies by 5 to get 15, same number will be multiplied by denominator to get A.

We know that \frac{5\times3}{9\times3}= \frac{15}{27}

So, A = 27

13) Calculate B

Footballs = 20

Baseballs = B

Common ratio is 5/9, we need to find a number that multiplies by 5 to get 20, same number will be multiplied by denominator to get B.

We know that \frac{5\times4}{9\times4}= \frac{20}{36}

So, B = 36

14) Calculate C

Footballs = C

Baseballs = 45

Common ratio is 5/9, we need to find a number that multiplies by 9 to get 45, same number will be multiplied by numerator to get C.

We know that \frac{5\times5}{9\times5}= \frac{25}{45}

So, C = 25

15) Calculate D

Footballs = D

Baseballs = 54

Common ratio is 5/9, we need to find a number that multiplied by 9 to get 54, same number will be multiplied by numerator to get D.

We know that \frac{5\times6}{9\times6}= \frac{30}{54}

So, D = 30

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The picture of the stem plot National  and American League is shown on the first uploaded image

Answer:

The value is \= x  = 50.14

Step-by-step explanation:

From the question we are told that

The stem plot for National League is

            2\ \ \ \ \ 9\\3\ \ \ \ \ 1 \\4\ \ \ \ \ 2\  6\  7\  8\  8\\5 \ \ \ \ \ 3\  5\  5\  5\\6 \ \ \ \ \ 3\  3\  7\\7

The  sample size is  n =  14

Generally the stem plot is interpreted in this manner

   The numbers on the first column represents the tens of a two digit number while the second column holds the possible unit number the tens in the first column can be combined with

  for example 4th row

 5           3 5 5 5

is equivalent to

53 55 55 55

Generally the mean for the national league is mathematically represented as

           \= x  = \frac{29 + 31 + \cdots + 67}{14}

=>         \= x  = \frac{702}{14}

=>         \= x  = 50.14

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