Answer:
Problem and solution
Step-by-step explanation:
"Struggle", "threat", and "trouble" are words that describe a problem.
"Hope", "possibility", and "future" are words that describe a solution.
Answer:
D
Step-by-step explanation:
Given that the segment is an angle bisector then the ratio of sides and base are equal, that is
= 
( cross- multiply )
10x = 72 ( divide both sides by 10 )
x = 7.2 → D
Answer:
B) 5
Step-by-step explanation:
f(-2) = (-2)² + 5•(-2) +11
f(-2) = 4 -10 +11
f(-2) = 5
The answer is y<6
Add 12 to both sides
Simplify
Divide both sides by the same factor
Simplify
Answer:
C. Events E and A are independent
Step-by-step explanation:
we will verify each options
(a)
We can use independent events formula
P(B∩C)=P(B)*P(C)
we are given
P(B)=0.4
P(C)=0.25
P(B∩C)=0.05
now, we can plug these values into formula
and we get
0.05=0.4*0.25
0.05=0.1
we can see that left side is not equal to right side
so, this is FALSE
(b)
We can use independent events formula
P(D∩A)=P(D)*P(A)
we are given
P(D)=0.25
P(A)=0.6
P(D∩A)=0.1
now, we can plug these values into formula
and we get
0.1=0.25*0.6
0.1=0.15
we can see that left side is not equal to right side
so, this is FALSE
(c)
We can use independent events formula
P(E∩A)=P(E)*P(A)
we are given
P(E)=0.5
P(A)=0.6
P(E∩A)=0.3
now, we can plug these values into formula
and we get
0.3=0.5*0.6
0.3=0.3
we can see that both sides are equal
so, this is TRUE
(d)
We can use independent events formula
P(D∩B)=P(D)*P(B)
we are given
P(D)=0.25
P(B)=0.4
P(D∩A)=0.15
now, we can plug these values into formula
and we get
0.15=0.25*0.4
0.15=0.1
we can see that left side is not equal to right side
so, this is FALSE
