Answer:
I) P(cat│dog) = 
II) These events are not independent
III) P(cat or dog)= 0.7
Step-by-step explanation:
Given : Households have dogs = 38%
So, P(dog) = 0.38
Households have cats = 47%
So, P(cats) = 0.47
Households have both dogs and cats = 15%
So, P(both dog and cat ) = 
= 0.15
solution :
i) By formula P(A│B) =
P(cat│dog)= 
P(cat│dog) =
ii) P(cat│dog)=39.47% = 0.39 and P(cat)=47% = 0.47, are the events not independent
Because condition for independent events in conditional probability is P(A|B)=P(A)
but P(cat│dog) ≠P(cat) i.e. 0.39≠0.47
So, these events are not independent
iii) P(cat or dog) = ?
"or" means union
Formula : 
P(cat or dog) = 
P(cat or dog)= 0.47 + 0.38 - 0.15
P(cat or dog)= 0.7
Answer:
(x^n+8) (x^n+2)
Step-by-step explanation:
x^2n + 10x^n +16
Let x^n = m
m^2 + 10m +16
Factor
What 2 numbers multiply to 16 and add to 10
2*8 =16
2+8 = 10
(m+8) (m+2)
Replace m with x^n
(x^n+8) (x^n+2)
Answer:
CG is radius.
Step-by-step explanation:
Given that G is the centre point of the circle.
Answer:a active transport
Step-by-step explanation: the cells need to have oxygen to transport aournd and the concertraion gradient as well.
Answer:
Perimeter of figure = 36.3
Step-by-step explanation:
We'll begin by calculating the perimeter of the rectangle. This can be obtained as follow:
Length (L) = 9
Width (W = 4
Perimeter of rectangle (Pᵣ) =?
Pᵣ = 2(L + W)
Pᵣ = 2(9 + 4)
Pᵣ = 2(13)
Pᵣ = 26
Next, we shall determine the perimeter of semi circle. This can be obtained as follow:
Diameter (d) = 4
Pi (π) = 3.14
Perimeter of semi circle (Pₛ) =?
Pₛ = ½(πd) + d
Pₛ = ½(3.14 × 4) + 4
Pₛ = ½(12.56) + 4
Pₛ = 6.28 + 4
Pₛ = 10.28
Finally, we shall determine the perimeter of the figure. This can be obtained as follow:
Perimeter of rectangle (Pᵣ) = 26
Perimeter of semi circle (Pₛ) = 10.28
Perimeter of figure =?
Perimeter of figure = Pᵣ + Pₛ
Perimeter of figure = 26 + 10.28
Perimeter of figure = 36.28 ≈ 36.3
