Answer:
The quotient is the solution to a division sum.
Step-by-step explanation:
A single number can not have a quotient.
This problem can be solved from first principles, case by case. However, it can be solved systematically using the hypergeometric distribution, based on the characteristics of the problem:
- known number of defective and non-defective items.
- no replacement
- known number of items selected.
Let
a=number of defective items selected
A=total number of defective items
b=number of non-defective items selected
B=total number of non-defective items
Then
P(a,b)=C(A,a)C(B,b)/C(A+B,a+b)
where
C(n,r)=combination of r items selected from n,
A+B=total number of items
a+b=number of items selected
Given:
A=2
B=3
a+b=3
PMF:
P(0,3)=C(2,0)C(3,3)/C(5,3)=1*1/10=1/10
P(1,2)=C(2,1)C(3,2)/C(5,3)=2*3/10=6/10
P(2,0)=C(2,2)C(3,1)/C(5,3)=1*3/10=3/10
Check: (1+6+3)/10=1 ok
note: there are only two defectives, so the possible values of x are {0,1,2}
Therefore the
PMF:
{(0, 0.1),(1, 0.6),(2, 0.3)}
So just find circumference is
circumfernce=2pir or pid
so diameter 2.5 ft
just for this problem aprox pi=3.14 so
c=pid
c=3.14(2.5)
c=7.85
a. 7.85 ft
b. how many times revolution till one mile (5280)
so
7.85 times x revolutions=5280
divide both sides b y7.85
x revolutions=672.61
round up so we complete the mile (about how many times..)
673 is the answer
a. 7.85 ft
b. 673 times
The answer to the above math expression is . See the computation below.
<h3>What is the calculation justifying the above?</h3>
First we solve for the numerator. The numerator is:
7√2 - 2√16
Where:
7√2 = 9.89949493661; and
2√16 = 8
Hence,
7√2 - 2√16 = 1.89949493661
Next we solve for the denominator. This is given as:
3√8=8.48528137424
Hence,
(7√2 - 2√16)/3√8 = 1.89949493661/8.48528137424
= 0.22385762508
0.224
Learn more about math expressions:
brainly.com/question/4344214
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Answer:
Use the equation ?/45.20 = 35\100 and what you get is your answer
Hope this helps
Step-by-step explanation: