Answer:
The answer to your question is A = 441.50 km²
Step-by-step explanation:
Data
Big triangle Small triangle
base = 33 km base = 19 km
height = 40 km height = 23 km
Process
1.- Calculate the area of the big triangle
Area = base x height / 2
Substitution
Area = 33 x 40 / 2
= 1320 / 2
= 660 km²
2.- Calculate the area of the small triangle
Area = 19 x 23 / 2
= 437 / 2
= 218.5 km²
3.- Subtract the small area to the big area
Share area = 660 - 218.5
= 441.50 km²
Answer:
1.5 times.
Step-by-step explanation:
6.75 / 4.5 = 1.5.
There are several information's already given in the question. Based on those information's the answer can be easily deduced.
The equation given in the question is
T = 10x + 1000
When the ticket rate is increased to $15, the equation becaomes
T = 15x + 1000
4000 = 15x + 1000
15x = 3000
x = 200 tickets
From the above deduction, it can be concluded that the correct option among all the options that are given in the question is the third option or option "C".
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
