R / (r + g) = 1/5 === 5r = r + g === 4r = g
<span>(r + 5) / (r + 5 + g) = 1/3 --- 3r + 15 = r + 5 + g </span>
<span>2r = g - 10 ... 4r = 2g - 20 </span>
<span>g = 2g - 20 </span>
<span>g = 20 .... 4r = g ... r = 5 </span>
<span>20 green and 5 red </span>
Answer:
Probability that the person preferred milk as his or her primary drink = 0.3
Step-by-step explanation:
Given -
In a recent survey, 18 people preferred milk, 29 people preferred coffee, and 13 people preferred juice as their primary drink for breakfast .
Total no of people is = 18 + 29 + 13 = 60
If a person is selected at random ,
The probability of person preferred milk = 
The probability of person preferred coffee = 
The probability of person preferred juice = 
Probability that the person preferred milk as his or her primary drink =
P ( milk ) = 
=
= 0.3
Answer: the first integer is -6 and the second integer is -4
Step-by-step explanation:
C is the correct answer because that's the only answer where all the numbers (i.e. 3, -1, 2) all, when plugged into the function, equal 0. For example:
3³ - (4 × 3²) + 3 + 6 = 0
-1³ - (4 × (-1)²) + (-1) + 6 = 0
2³ - (4 × 2²) + 2 + 6 = 0
As we see, everything adds up to 0. So, C is the correct answer.
Answer:
Volume: 
Ratio: 
Step-by-step explanation:
First of all, we need to find the volume of the hemispherical tank.
The volume of a sphere is given by:

where
r is the radius of the sphere
V is the volume
Here, we have a hemispherical tank: a hemisphere is exactly a sphere cut in a half, so its volume is half that of the sphere:

Now we want to find the ratio between the volume of the hemisphere and its surface area.
The surface area of a sphere is

For a hemisphere, the area of the curved part of the surface is therefore half of this value, so
. Moreover, we have to add the surface of the base, which is
. So the total surface area of the hemispherical tank is

Therefore, the ratio betwen the volume and the surface area of the hemisphere is
