Answer:
1) is not possible
2) P(A∪B) = 0.7
3) 1- P(A∪B) =0.3
4) a) C=A∩B' and P(C)= 0.3
b) P(D)= 0.4
Step-by-step explanation:
1) since the intersection of 2 events cannot be bigger than the smaller event then is not possible that P(A∩B)=0.5 since P(B)=0.4 . Thus the maximum possible value of P(A∩B) is 0.4
2) denoting A= getting Visa card , B= getting MasterCard the probability of getting one of the types of cards is given by
P(A∪B)= P(A)+P(B) - P(A∩B) = 0.6+0.4-0.3 = 0.7
P(A∪B) = 0.7
3) the probability that a student has neither type of card is 1- P(A∪B) = 1-0.7 = 0.3
4) the event C that the selected student has a visa card but not a MasterCard is given by C=A∩B' , where B' is the complement of B. Then
P(C)= P(A∩B') = P(A) - P(A∩B) = 0.6 - 0.3 = 0.3
the probability for the event D=a student has exactly one of the cards is
P(D)= P(A∩B') + P(A'∩B) = P(A∪B) - P(A∩B) = 0.7 - 0.3 = 0.4
Answer:
other parallel side is 23m
Step-by-step explanation:
Let's assume other parallel sides as 'x'
One of the parallel sides of the trapezium plot measure 18m
so, y=18
distance between the two parallel sides measure 20m
so, h=20
now, we can use area of trapezium formula
now, we can plug values
we can set A=410
and then we can solve for x
Fun fact
if f(a)=b then f⁻¹(b)=a
so
if f⁻¹(b)=a then f(a)=b
so we find f(x)=27 and the solve for x
f(x)=3x=27
3x=27
divide both sides by 3
x=9
so if f(9)=27 then f⁻¹(27)=9
problem solved
answer is 9
Answer:
Step-by-step explanation:
To find the distance, we first do B - A, where B is (-6, 7) and A is (-1, 1):
(-6, 7) - (-1, 1) = (-6+1, 7-1) = (-5, 6)
Imagine it as a triangle, where the hypotenuse is the distance, and -5 and 6 are the lengths of the sides.
To find the hypotenuse (Pythagorean Theorem): 
The answer is the square root of 61.
58, 62, 71, 73, 84, 89, 91, 91, 93, 97, 98, 101,104
Five number summary:
1) minimum = 58
2) 1st quartile = 72
3) median = 91
4) 3rd quartile = 98
5) maximum = 104
__________
--------<u>| | </u>|------------
58 72 91 98 104
