Answer: 0.88
Step-by-step explanation:
Let C is the event of drinking coffee, T is the event of drinking tea and M is the event of drinking milk.
Thus, when we make the Venn diagram of the given situation according to the given information,
Total number of people = 50
Number of people who like coffee, tea and milk = 19
Number of people who like coffee, tea but not milk = 16
Number of people who like coffee, milk but not tea = 2
Number of people who like tea, milk but not coffee = 5
Thus, the number of people who like tea only = Total people - (people who like coffee, tea but not milk + people who like coffee, tea and milk + the one who only like tea and milk but not coffee)
= 50 - ( 16 + 19 + 5) = 50 - 46 = 4
Thus, Total number of the person who like milk = 16 + 19 + 5 + 4 = 44
⇒ Probability that this person likes tea = 
= 
Answer:
5x + 16
Step-by-step explanation:
the first thing you do in this equation is to distribute the 2 into x + 6
you get
2x + 12 + 3x + 4 = ?
then you must put the 2x and the 3x together
5x + 12 + 4
and you can then add the 12 and 4
5x + 16
Answer:
Step-by-step explanation:
Given
Represent point A as thus;
Required
Determine the new position of A, when rotated counterclockwise
The new position will be denoted as A'
When a point is rotated counterclockwise, we start by switching the positions of x and y as follows:
Then, y is negated to give A'
Answer:
87
Step-by-step explanation:
all the angles of a triangle out of 180 so subtract the two numbers you have from 180
Answer:
C
Step-by-step explanation:
The expression given is a difference of cubes and factors as
a³ - b³ = (a - b)(a² + ab + b²)
8
= (2
)³ ⇒ a = 2
27
= (3y²)³ ⇒ b = 3y²
Hence 2 factors are
(2 - 3y²) and
((2)² + (2 × 3y²) + (3y²)²)
= (4
+ 6y² + 9
)
Hence the factored form of the expression is C
