Answer:
This is the case ASA, with 2 triangles are congruent (ABD and CBE)
ABD = CBE because
Angle BAD = Angle BCE (as pic)
AD = CE (as pic)
Angle ADB = Angle CEB
Step-by-step explanation:
Angle ADB = Angle CEB because
ADB = 180 - BAD - B
CEB = 180 - BCE - B
BAD = BCE (as pic)
Answer:
Probability that Caroline buys fruit, a CD or both is 0.76.
Step-by-step explanation:
Let event A = Caroline buys fruit, event B = Caroline buys CD, Ac and Bc are complementary events.
Events AB, ABc, AcB and AcBc are jointly exhaustive and disjoint, hence P(AB) + P(ABc) + P(AcB) +P(AcBc) =1.
Events A and B independent, hence Ac and Bc independent too and probability P(AcBc) = P(Ac)*P(Bc) = (1 - P(A))(1-P(B)) = 0.6*0.4 = 0.24.
Required probability P(AB + ABc + AcB ) = P(AB) + P(ABc) + P(AcB) = 1- P(AcBc) = 1 - 0.24 = 0.76.
Answer:
P(B | T)=3/13
Step-by-step explanation:
The question is missing the Venn diagram that shows the value of each variable.
From the Venn diagram we can see there are 10 paintings that not T and not B. That means the total number of paintings that either T or B is
P(T∪B) = 60-10= 50 paintings.
There are x(x-2) + x paintings from 20th century
P(T)= x(x-2) + x = x^2 - x
There are 2x+8 +x British paintings.
P(B)= 2x+8 +x = 3x +8
There are 2 paintings that both T and B
P(T∩B)= x
Using union equation we can find the x
P(T∪B) = P(T) + P(B) - P(T∩B)
50= x^2 - x + 3x +8 - x
x^2 + x + 8 - 50 = 0
x^2 + x + -42 =0
(x-6) (x+7)=0
x1= 6 x2=-7
Since x can't be minus, then x=6.
The question asking how much conditional probability that a random T paintings is also British. The calculation will be:
P(B|T)= P(B∩T) / P(B) = x/ (3x +8)= 6/(6*3+8)= 6/26= 3/13
Answer:
You would need 20 volunteers
Step-by-step explanation:
If you make all of the fractions have a denominator of 6 then they would all add up to 1 which would be 2+2+1 which is 5 miles. Then you multiply 5 by 4 (for ever quarter mile) and it equals 20
(3,30.6)
(5,51)
(6,61.2)
The slope of the line that passes through points (3,30.6) and (5,51) is 10.2
The slope of the line represents how much she earns per hour.