Answer:
3.14
Step-by-step explanation:
The formula for the area of a circle is 
, where r is the radius. In this circle, the area would therefore be 
. However, since this is only a quarter circle, you need to divide the area by 4, meaning that the area of this shape is 3.14 square units. Hope this helps!
Answer:
Lines A and B form a consistent independent system
Step-by-step explanation:
we know that
A consistent system of equations has at least one solution
In this problem
The system of Line A and Line B has only one solution, since it has only one point of intersection.
and the Line A is different to Line B
therefore
Lines A and B form a consistent independent system
(independent because Lines A and B are different)
Answer:
0.156
Step-by-step explanation:
Using binomial probability formula, we have :
P( a out of n ) =ⁿCₐ x pᵃ x qⁿ⁻ᵃ ------------------------------------------------- (1)
Where n = total number of sample
a = number of success
p = probability of success
q = probability of failure
n-a = number of failures
From the question:
n =10 , a = 7, p=0.54, q = 1-p = 0.46
Substituting into equation (1) we have:
P (7 out of 10) = ¹⁰C₇ x (0.54)⁷x (0.46)¹⁰⁻⁷
= 0.1563
≈ 0.156
