Answer:
Option C
Step-by-step explanation:
The standard form of equation of a cirle is:
(x-h)^2+ (y-k)^2=r^2
In the given question as the point is given and the radius of circle is given:
So,
(h,k)=(2,-1)
and
r=3
Here,
h=2
k= -1
Putting the values of h,k and r in standard form
(x-2)^2+ (y-(-1))^2=(3)^2
(x-2)^2+ (y+1)^2=(3)^2
So the equation of circle is:
(x-2)^2+ (y+1)^2=9(3)^2
Option C is the correct answer ..
Answer:
The price per ounce is $0.175.
Step-by-step explanation:
Given:
Number of ounces = 10
Price of 10 ounces = $1.75
We know that, from unitary method, price of a unit quantity is given as:

Here, the number of quantities correspond to the number of ounces.
Total price corresponds to the price of the 10 ounces which is $1.75.
Now, unit rate or price per ounce is given as:
Price per ounce = 
Price per ounce = $0.175
Therefore, the price per ounce is $0.175.
Answer:
Cov(X, Y) =0.029.
Step-by-step explanation:
Given that :
The noise in a particular voltage signal has a constant mean of 0.9 V. that is μ = 0.9V ............(1)
Also, the two noise instances sampled τ seconds apart have a bivariate normal distribution with covariance.
0.04e–jτj/10 ............(2)
Having X and Y denoting the noise at times 3 s and 8 s, respectively, the difference of time = 8-3 = 5seconds.
That is, they are 5 seconds apart,
τ = 5 seconds..............(3)
Thus,
Cov(X, Y), for τ = 5seconds = 0.04e-5/10
= 0.04e-0.5 = 0.04/√e
= 0.04/1.6487
= 0.0292
Thus, Cov(X, Y) =0.029.
Answer:
a) putting the equation through each step the answer will be -118
Answer:
3/7
Step-by-step explanation:
430 +200 = 630 (630 people in all)
430-160 =270 (270 men NO WHITE CAR)
270/630 = 3/7