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notka56 [123]
2 years ago
6

Altogether in a school there are 240 people.

Mathematics
1 answer:
deff fn [24]2 years ago
6 0

Answer:

(i) 96 male

(ii) 12 female staff

Step-by-step explanation:

Population = 240

220 students, 20 staff

40% of the population is male (student and staff)

55% of the population are female <u>students</u>

40 + 55 = 95%

95% of the whole population is known, 5% are the female staff based on the problem.

240 x 0.4 = 96

240 x 0.05 = 12

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A) because when they are equal it means that their y has the same value, which means their intersection point.


B) You should take all integers from (-2, 2) which are: -2, -1, 0, 1, 2 and put them one by one in the example:
x = -2    
    y1 = 4^-(-2) = 4^2 = 16 
    y2 = 2^(-(-2) + 1) = 2^(2+1) = 2^3 = 8
y1 ≠ y2      =>      so x=-2 isn't our answer
-------------------------------------------------------
x = -1
    y1 = 4^-(-1) = 4^1 = 4 
    y2 = 2^(-(-1) + 1) = 2^(1+1) = 2^2 = 4
y1 = y2      =>       so our answer will be x = -1
-------------------------------------------------------
x = 0
    y1 = 4^-(0) = 4^0 = 1 
    y2 = 2^(-(0) + 1) = 2^(0+1) = 2^1 = 2
y1 ≠ y2      =>      so x=0 isn't our answer
--------------------------------------------------------------
x = 1 
    y1 = 4^-(1) = 4^(-1) = 1/4 
    y2 = 2^(-(1) + 1) = 2^(-1+1) = 2^0 = 1
y1 ≠ y2      =>      so x=1 isn't our answer
--------------------------------------------------------------
x = 2 
    y1 = 4^-(2) = 4^(-2) = 1/16 
    y2 = 2^(-(2) + 1) = 2^(-2+1) = 2^(-1) = 1/2
y1 ≠ y2      =>      so x=2 isn't our answer

Which means that our final answer is: x=-1


C) You should draw both graphics, and their intersection point (x) will be the answer.


I hope it helped.


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