Section 11 - Topic 7Two-Way Frequency Tables – Part 1A local nursery sells three types of trees. The sizes are small, medium and large.SmallMediumLargeTotalCoconut Palm8.24Pine1735Fichus27311Total2113Complete the table.

Respuesta :

Lets represent the small pine with a letter x

Therefore ,

The total for the small=21

small coconut palm=8

small fichus=2

[tex]\begin{gathered} \text{small coconut palm+small pine+small fichus=21} \\ 8+x+2=21 \\ 10+x=21 \\ \text{collect like terms we have that} \\ x=21-10 \\ x=11 \end{gathered}[/tex]

Hence,

Small pine =11

Step 2 : Let the large pine be represented as letter y

The total pine = 35

small pine =11

medium pine =17

There fore,

[tex]\begin{gathered} \text{small pine +medium pine+large pine=35} \\ 11+y+17=35 \\ 28+y=35 \\ by\text{ collecting like terms we will have that} \\ y=35-28 \\ y=7 \end{gathered}[/tex]

Hence ,

The large pine=7

step 3: Large coconut palm = z

Large pine =7

Large fichus=3

Since the total of the LARGE= 13 the we will have that,

[tex]\begin{gathered} \text{Total large=large coconut+large pine+large fichus} \\ 13=z+7+3 \\ 13=z+10 \\ by\text{ collecting like terms we will have} \\ z=13-10 \\ z=3 \end{gathered}[/tex]

Hence,

large coconut palm=3

Total fichus should be = 2+7+3=12

To calculate the total medium we have to calculate the toal of coconut palm,pine and fichus which is,

[tex]\begin{gathered} \text{Total tre}es\text{=total coconut+total pine+total fichus} \\ \text{total tre}es=24+35+12 \\ \text{total trees}=71 \end{gathered}[/tex]

Hence,

The total trees = 71

Therefore ,total medium will be calculated as

[tex]\begin{gathered} \text{total tr}ees=total\text{ small+total medium+total large} \\ 71=21+\text{total medium +13} \\ 71=34+\text{total medium} \\ \text{therefore,total medium is} \\ \text{total medium=71-34} \\ \text{total medium=37 } \end{gathered}[/tex]

Hence,

Total medium is =37

Lastly,

We will calculate the medium coconut palm

Total medium = 37

medium pine= 17If you don’t need further explanation on this question, we can end the session. I’d really appreciate you letting me know how I did by rating our session after you exit. Also remember that you can always view the answer on your profile on Brainly.com. Thanks and have a nice day.

medium fichus=7

Therefore , we will have that

[tex]\begin{gathered} \text{Total medium}=\text{ medium coconut+medium pine+medium fichus} \\ 37=\text{medium coconut+17+7} \\ 37=\text{ medium coconut+24} \\ \text{therefore medium coconut will be} \\ \text{medium coconut=37-24} \\ \text{medium coconut=1}3 \end{gathered}[/tex]

Hence,

Medium coconut =13

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