we have,
14x+8+6x+12=180 {interior angle}
or, 20x+20= 180
or, 20x= 180- 20
or, x= 160/20
:. x= 8
Now,
14x+8= 14.8+8
= 112+8 =120
6x+12= 6.8+12
= 48+12 = 60
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
Answer:
so from looking at this we can see there is
0=5
1=5
2=3
3=2
4=4
5=1
6=2
7=2
8=1
9=1
now we have to add them up
5+6+16+5+12+14+8+9=75
and now we have to add up the total plots on the chart
5+5+3+2+4+1+2+2+1+1=26
now we divide
75 divided by 26=2.88461538462
so 2.9 is the mean
now we add up the number from least to greatest
0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,5,6,6,7,7,8,9
so the medien is 4
Hope This Helps!!!
Answer: I(x)=12x
Step-by-step explanation:
Let I represent the total money earned
Let x represent the number of toys sold
Since each toy is 12 dollars, then the company will earn 12 dollars for each toy that is sold.
Therefore, the equation is,
I(x)=12x
Thickness of the book is ~
Refer to the attachment for solution ~
