N=0.5
1x0.5=0.5 which is less than 1 but greater than 0
One pint is 16 Oz. 32=16*2 hence 32 Oz = 2 pints
You need 2 containers
Answer:
x=5, y=8. (5, 8).
Step-by-step explanation:
3x+5y=55
5x+4y=57
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5(3x+5y)=5(55)
-3(5x+4y)=-3(57)
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15x+25y=275
-15x-12y=-171
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13y=104
y=104/13
y=8
3x+5(8)=55
3x+40=55
3x=55-40
3x=15
x=15/3
x=5
Answer:
Given expression is equivalent to the expression .
Step-by-step explanation:
Given expression is
To simplify the expression:
Taking LCM 6 to the above expression we get
(Applying multiplication rules)
( doing sums to the terms)
We can take common number 2 outside to the above expression
Therefore
Therefore given expression is equivalent to the expression .
Answer:
Step-by-step explanation:
Given that :
St = the event that person is statistician
E = the event that person is Economist
Sh = the event that person is Shy
a. Briefly explain what key assumption is necessary to validly bring probability into the solution of this problem?
St and E are exclusive events since a person cannot be both statistician and economist.
Key Assumptions:
P(St) + P(E) = 1
Also;
P (St ∩ E) = ∅
b. Using the St. E and Sh notation, express the three numbers (80%, 15%, 90%) above and the probability we're solving for, in unconditional and conditional probability terms.
Given that :
80 % (0.8) of the statisticians are shy and also 15% (0.15) of the economist too are shy; Then :
In the conference; it is stated that there are 90% economist ; Therefore:
P(E) = 0.9
P(St) = 0.1
c) Briefly explain why calculating the desired probability is a good job for Bayes's The- orem
From the foregoing; we knew the probability of and asked to show that P(st|sh) = 0.37 ; Then using Bayes Theorem; we have:
As illustrated above; the required probability was determined using Bayes Theorem; Thus, calculating the desires probability is a good job for Bayes's The- orem.