In a class of 36 students, 19 read Biology, 16 read Chemistry and 5 were not allowed to read both subjects. a) Illustrate the information on a Venn diagram. b) Find how many students who read both Biology and Chemistry

27

Step-by-step explanation:

To find the number of students who read booth biology and chemistry, we say

let B rep student that study Biology and C for Chemistry

B = 19, C = 16

So, student that study only Biology (B n C') = 19 - x

Chemistry (B' n C) = 16 - x

Total n(u) = n(B n C') + n(B n C) + n(B' n C) + n(B n E)'

36 = (19-x) + (x) + (16-x) + 5

36 = 19-x +x +16-x  + 5

36 = 19 + 16 + 5 - x

36 = 40 -x,  x = 40 - 36

x = 4

we use the value of x to calculate to find question b.

student that study biology only = 19 -4 = 15

chemistry only = 16 -4 = 12

>>> students that study both subject equals 12 + 15 = 27.

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!

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