In group of 100 persons, 72 people can speak
English and 43 can speak French. How many
can speak English Only, How many can speak
French Only and how many can speak both English and French
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Step-by-step explanation:

Let A be the set of people who speak English.    

B be the set of people who speak French.  

A - B be the set of people who speak English and not French.  

B - A be the set of people who speak French and not English.  

A ∩ B be the set of people who speak both French and English.  

Given

n(A) = 72       n(B) = 43       n(A ∪ B) = 100  

Now, n(A ∩ B) = n(A) + n(B) - n(A ∪ B)  

 = 72 + 43 - 100  

= 72 + 43 - 100  

= 115 - 100  

= 15

Therefore, Number of persons who speak both French and English

= 15  

n(A) = n(A - B) + n(A ∩ B)  

⇒ n(A - B) = n(A) - n(A ∩ B)  

= 72 - 15  

= 57

and n(B - A) = n(B) - n(A ∩ B)  

 = 43 - 15 = 28  

Therefore, Number of people speaking English only = 57  

Number of people speaking French only = 28

Let A be the set of people who speak English.    

B be the set of people who speak French.  

A - B be the set of people who speak English and not French.  

B - A be the set of people who speak French and not English.  

A ∩ B be the set of people who speak both French and English.  

Given

n(A) = 72       n(B) = 43       n(A ∪ B) = 100  

Now, n(A ∩ B) = n(A) + n(B) - n(A ∪ B)  

= 72 + 43 - 100  

= 72 + 43 - 100  

= 115 - 100  

= 15

Therefore, Number of persons who speak both French and English

= 15  

n(A) = n(A - B) + n(A ∩ B)  

⇒ n(A - B) = n(A) - n(A ∩ B)  

= 72 - 15  

= 57

and n(B - A) = n(B) - n(A ∩ B)  

= 43 - 15 = 28  

im not sure if its right but- q-q

answer: give more info

step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.