The volume of the shaded part in cubic units is 4/3π(20)³ - 4/3π(4)³
<h3>Volume of composite object</h3>
The sphere is a a solid 3-dimensional object. THe formula for calculating its volume is expressed as:
V = 4/3πr³
where:
r is the radius of the sphere
<u>For the outer sphere:</u>
V = 4/3π(20)³
<u>For the inner sphere:</u>
V = 4/3π(4)³
The volume of the shaded part in cubic units is 4/3π(20)³ - 4/3π(4)³
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1. Total number of marbles=10 red marbles+80 green marbles+110 orange marbles=200 marbles
2. Let's call "V" the event that consists that he selects a green marble from the bag. Then:
P(x)=80/200
P(x)=0.4
3. This problem can be represented by a binomial distribution, where:
P=0.4
q=1-P=0.6
n=50
4. The expect value in a binomial function is written as below:
E(x)=nxP
E(x)=50x0.4
E(x)=20
The answer is: He can expect 20 zucchini.
Answer:
x=5,y=12, area=40 square units
Step-by-step explanation:
the answer is explained in the above picture
The possible orders in which Elliott can do these tasks is 24
<h3>
What is Permutation ?</h3>
Permutation is defined as the number of ways r number of objects can be arranged in total n number of objects.
P(n,r) = n! / (n-r)!
As Elliot have 4 tasks to do practices the piano (A), walks his dog(B), does his homework(C), and cleans his room(D)
4 Task can be done in 4! ways = 4 * 3 * 2 * 1 = 24 ways
ABCD ABDC
ACBD ACDB
ADBC ADCB
This is for when Elliot does piano first (A)and then walks his dog(B), does his homework(C), and cleans his room(D) .
Similarly for other 3 works , total 24 possible orders can be followed.
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