Answer:
(x + 2)^2 + (y + 8)^2 = 10
Step-by-step explanation:
The general equation of a circle with center at (h, k) and radius r
is (x - h)^2 + (y - k)^2 = r^2. If the center is at (-2, -8) and the radius is √10, then this equation becomes:
(x + 2)^2 + (y + 8)^2 = 10
Answer:
The height of the cone is 
Step-by-step explanation:
we know that
The volume of the cone is equal to
where
B is the area of the circular base of the cone
h is the height of the cone
In this problem we have
<em>Find the area of the base B</em>
substitute the value of r
<em>Find the height of the cone</em>
assume 
Step-by-step explanation:
so, just by getting into the taxi we have to pay R10.
that leaves us 22 - 10 = R12 for the actual trip.
30 cents per kilometer.
so, how many units of 30 cents are there in R12 ? that is the number of kilometers we can go.
R12 = 1200 cent (right ?)
1200 / 30 = 120 / 3 = 40
so, we can travel 40 kilometers for that money.
Answer:
9.364 is the expected number of points.
we can approximate this to 10 points if we want a whole number
Step-by-step explanation:
We have these variables:
[0,5,10,15]
P(x= 0) = p(y>20)+p(y<-20) = 2p(y>20)
P(x=5) = p(-20<=y<=10)+p(10<=y<=20) = 2p(10<=y<=20)
P(x=10) = p(-10<=y<=-3)+p(3<=y<=10) = 2p(3<=y<=10)
P(x=15) = p(-3<=y<=3) = 2p(0<=y<=3)
Z = y/10
Therefore
P(x= 0) = 2(y>20)
= 2p(z>2) = 2(1-p<=2)
= 2(1-0.9772)
= 0.0456
P(x= 5)
= 2p(10<=y<=20)
= 2p(1<=z<=2)
= 2(0.9772-0.8413)
= 0.2718
P(x= 10)
= 2p(3<=y<=10)
= 2p(0.3<=z<=1)
= 2(0.8413-0.6179)
= 0.4468
P(x = 15)
= P(0.6179-0.3821)
= 0.2358
To get expected value of Y
0(0.0456)+5(0.2718)+10(0.4468)+15(0.2358)
= 1.359 + 4.468 + 3.537
= 9.364
E[Y] = 9.364
Answer:
It would be 171.00
Step-by-step explanation:
You divide 1/5 which gives you 0.2 times 4.75 and times 180 which gives you 170.00
