this is my answer I hope its right I havent done graphs in a hot second
The size of the next smaller scale wil about 1.464.
The scale factor represents the change between the different sizes. We multiply by it to increase and divide by it to reduce.
1.772 / 1.21 = 1.464
Answer:
0.00069104 approximately.
Step-by-step explanation:
You must first calculate the probability of not taking a ball with the letter B.
It would be the sum of the probabilities of taking I, N, G and O.
The probability of getting the letter I would be 15/75, that is 1/5. The same would be for the letter N, G and O. Since the 4 probabilities are equal.
Therefore it would remain (1/5) * 4 = 4/5.
Then the probability of not drawing a letter B would be 4/5.
However, in the case that it does not go out for 26 balls and that the ball that was taken out is not taken into account. It would be the multiplication of all events, that is:
(60/75) * (59/74) * (58/73) * (57/72) * ... * (35/50)
The result would be 0.00069104 approximately.
Answer:
A) x^2 + 2x+ y^2 - 4y + z^2 - 2z - 63 = 0
B) radius = 5
center = (4,-1,-3)
Step-by-step explanation:
A ) Determine the curve in which the sphere intersects the yz-plane
determine the radius ( r ) = √((6-(-1))2+(-2-2)2+(3-1)2) = √69
next the equation of the sphere ( curve in which the sphere intersects the yz-plane )
x^2+2x+y^2-4y+z^2-2z-63 = 0
B) determine the center and radius of the sphere
X^2 + y^2 + z^2 -8x + 2y +6z + 1 = 0
(x-4)2+(y+1)2+(z+3)2 = 25 = 52
radius = 5
center = (4,-1,-3)
To solve:
1) Divide both sides by 100
100x/100 = 265/100
x = 2.65
