Pls answer number 3,4,7, and 8
1 answer:
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➻ In a group of 40 people, 27 can speak English and 25 can speak Spanish.
➻ The required number of people who can speak both English and Spanish .
<u>Consider</u> ,
➻ A → Set of people who speak English.
➻ B → Set of people who speak Spanish
➻ A∩B → Set of people who can speak both English and Spanish
- ➻ n (A) = 27
- ➻ n (B) = 25
- ➻ n (A∪B) = 40
- ➻ n(A∩B) = ?
➻ n(A∪B) = n(A) + n (B) - n(A∩B)
➻ 40 = 27 + 25 - n (A∩B)
➻ 40 = 52 - n (A∩B)
➻ n (A∩B) = 52 - 40
➻ ∴ n (A∩B) = 12
∴ Required Number of persons who can speak both English and Spanish are <u>12 .</u>
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➻ n(A∪B) = n(A) + n (B) - n(A∩B)
➻ 40 = 27 + 25 - 12
➻ 40 = 52 - 12
➻ 40 = 40
➻ ∴ L.H.S = R.H.S
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Answer:
A. .
B. .
Step-by-step explanation:
The given line passes through (2,2) and (4,5).
The slope the given line can be found using the formula;
This gives .
The slope-intercept form is .
We substitute the second point to get:
.
We expand to get:
.
.
.