Answer:
18.03 cubic feet
Step-by-step explanation:
Hello,
Step 1
find the volume of the sphere when radius= 5 ft
Step 2
find the volume of the sphere when radius= 5.1 ft
Step 3
Compare the Volumes to find the change
the volumen of the sphere with radius = 5.1 is 1.06 times bigger than the first one(r=5)
Now, find the change
change=18.03 cubic feet
Have a great day.
To find how many minutes of talk time is available per dolla, you have to divide 160 (number of minutes) by 40 (cost)
160/40 = 4
Therefore, it's 4 minutes per dollar
Answer:
The ratio of planet B's volume to planet A's volume is 1:512 or 1/512
Step-by-step explanation:
Volume of sphere = 4/3 π r^3
r = d/2
Radius of palnet A = 8/2 = 4
Radius of planet B = 1/2
Since 4/3 π is same in both volumes so, they cancel out when finding ratio.
Now ratio depends on radius cube of both planets
Volume of Planet B : Volume of Planet A
4/3 π(1/2)^3 : 4/3 π(4)^3
Cancelling 4/3 π on both sides
1/8 : 64
Multiply 8 on both sides
1 : 512
So, The ratio of planet B's volume to planet A's volume is 1:512 or 1/512
Answer:Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.
x
=
2
π
3
+
π
n
, for any integer
n
Step-by-step explanation:
Complete question:
A project is graded on a scale of 1 to 5. If the random variable, X, is the project grade, what is the mean of the probability
distribution below?
Grade(X)_____ 1_____2_____3_____4_____5
Frequency____3 _____5____ 9 ____ 5 ____ 3
P(X) : _______ 0.1 ___0.2 ___0.4 ___ 0.2 __0.1
Answer:
3
Step-by-step explanation:
Given the probability distribution :
Grade(X)_____ 1_____2_____3_____4_____5
Frequency____3 _____5____ 9 ____ 5 ____ 3
P(X) : _______ 0.1 ___0.2 ___0.4 ___ 0.2 __0.1
The mean of the distribution :
Σ(X * P(X)) :
(1*0. 1) + (2 * 0.2) + (3 * 0.4) + (4 * 0.2) + (5 * 0.1)
0.1 + 0.4 + 1.2 + 0.8 + 0.5
= 3
