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A survey of 80 students found that 24 students both play in a band and play a sport. But 22 students are not in band and do not play a sport. There are 48 students in the band. If being in band is the row variable and playing sports is the column variable, fill in the labels in the table.


Determine what each letter in the table should be to complete this two-way table.

b =
d =
f =
g =
h =

A survey of 80 students found that 24 students both play in a band and play a sport But 22 students are not in band and do not play a sport There are 48 student class=

Respuesta :

Answer:

b = 24

d = 10

f = 32

g = 34

h = 46

Step-by-step explanation:

From the given table we find that students who are in band = 48

So 24 + b = 48

b = 48 - 24

b = 24

Total students who do not play sports = h

And h = students in band + students not in band

h = b + 22

h = 24 + 22 = 46

h = 46

Total students who play sports and who do not play sports = 80

g + h = 80

g + 46 = 80

g = 80 - 46 = 34

g = 34

Total students who are not in band and not in band = 80

48 + f = 80

f = 80 - 48

f = 32

Students who are not in Band but either play sports or do not play sports = f

d + 22 = f

d + 22 = 32

d = 32 - 22 = 10

d = 10

fichoh

Using the change of subject, the values of the alphabet b, d, f g, h calculated from the table are 24, 10, 32, 34, and 46 respectively.

To find b :

24 + b = total

24 + b = 48

b = 48 - 24

b = 24

To find h :

b + 22 = total

b + 22 = h

24 + 22 = 46

h = 46

To find g :

g + h = 80

g + 46 = 80

g = 80 - 46

g = 34

To find d :

24 + d = g

24 + d = 34

d = 34 - 24

d = 10

To find f :

d + 22 = f

10 + 22 = f

f = 32

Therefore, the values of b, d, f g, h are 24, 10, 32, 34, and 46 respectively.

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