Answer:
a) 9*π or approx 28.26
b) ∡CRB=100°
Step-by-step explanation:
As known for secants crossing each other inside the circle is coorect the following:
BR*RD=AR*RC
=> 3*RD=4*4.5
RD=6
The diameter of the circle with center P is BD=BR+RD=3+6=9
So the radius of the circle is D/2=9/2=4.5
As known the circumference of any circle can be calculated as
C=2*π*r , where r is the circle's radius
So C=2*4.5*π=9*π= approx 3.14*9=28.26
b) ∡CRB=∡ARD= (arcBC+arcAD), where arcBC and arcAD smaller arcs
BD is the circle's diameter, so arc BD=180°
So arcBC=180°-arcCOD=180°-100°=80°
Similarly arcBD=180°
arcAD=180°-arcBSA=180°-60°=120°
∡CRB= (80°+120°)/2=100°
I think it is B but I might be wrong
Answer:
Parallel lines have same slope but different y-intercept
None of the given equations have same slope. Therefore lines are not parallel.
Step-by-step explanation:
Slope of Line a: 4y +x=8 is -1/4
Slope of Line b: 2y + x = 4 is -1/2
Slope of Line c: 2y = -3x + 6 is -3/2
Answer:
μ = 1 The firm expects that one oil exploration will be successful.
v(x)= 0.9
Step-by-step explanation:
The first step is to define the random variable x as:
x: number of oil explorations being succesful
Then x can be take this values:
x = 0 , x =1 ... x =10
x is a binomially distributed random variable with parameters.
p = 0.1 and n=10
And the mean or the expected value of x is:
μ = E(x) = np
Then μ = 10*0.1 = 1
And the variance of x is:
V(x) = np(1-p)
V(x) = 10(0.1)(1-0.1)= 0.9
Answer:
Step-by-step explanation:
Given that John Simone is purchasing a used car for 11805 dollars.
Down payment = 1500
Net loan amount = 11805-1500 = 10305
Equal monthly instalments he paid = 343 dollars
Tenure =3 years
For 3 years rate of interest should be 12.2%
Then only we get for 3 years for the loan emi as 343
