A plant manager randomly selects a can of peas from the assembly line and records whether or not the can's label is properly att
ached , followed by the weight of the can (as less than 14 ounces, exactly 14, or more than 14 ounces).
Counting rule: Multiple-Step Experiments, permutations, or combinations?
Number of Experimental Outcomes?
Three branches (A,B, and C) of a bank have open manager positions. Three home-office employees from a pool of five are randomly selected to fill the manager positions. The first home-office employee selected becomes the manager of branch A, the second becomes the manager of branch B, and the third becomes manager of branch C.
Counting rule: Multiple-Step Experiments, permutations, or combinations?
Number of Experimental Outcomes?
A stockbroker forms a stock portfolio for a client by randomly selecting three stock from a pool of five.
Counting rule: Multiple-Step Experiments, permutations, or combinations?
Number of Experimental Outcomes?
Counting rule: Multiple-Step Experiments, permutations, or combinations?
Number of Experimental Outcomes?
Three branches (A,B, and C) of a bank have open manager positions. Three home-office employees from a pool of five are randomly selected to fill the manager positions. The first home-office employee selected becomes the manager of branch A, the second becomes the manager of branch B, and the third becomes manager of branch C.
Counting rule: Multiple-Step Experiments, permutations, or combinations?
Number of Experimental Outcomes?
A stockbroker forms a stock portfolio for a client by randomly selecting three stock from a pool of five.
Counting rule: Multiple-Step Experiments, permutations, or combinations?
Number of Experimental Outcomes?
1 answer:
Complete Question
For each of the following experiments, identify the counting rule that is relevant for determining the number of experimental outcome.Then use the counting rules to determine the number of experimental outcome
First Experiment
A plant manager randomly selects a can of peas from the assembly line and records whether or not the can's label is properly attached , followed by the weight of the can (as less than 14 ounces, exactly 14, or more than 14 ounces).
Which is the correct Counting rule?
1) Multiple-Step Experiments
2) Permutations
3) Combinations
What is the Number of Experimental Outcomes?
Second Experiment
Three branches (A,B, and C) of a bank have open manager positions. Three home-office employees from a pool of five are randomly selected to fill the manager positions. The first home-office employee selected becomes the manager of branch A, the second becomes the manager of branch B, and the third becomes manager of branch C.
Which is the correct Counting rule?
1) Multiple-Step Experiments
2) Permutations
3) Combinations
What is the Number of Experimental Outcomes?
Third Experiment
A stockbroker forms a stock portfolio for a client by randomly selecting three stock from a pool of five.
Which is the correct Counting rule?
1) Multiple-Step Experiments
2) Permutations
3) Combinations
What is the Number of Experimental Outcomes?
Answer:
First Experiment
Counting rule: Multiple-Step Experiments
Number of Experimental Outcomes: 6
Second Experiment
Counting rule: Permutations
Number of Experimental Outcomes: 60
Third Experiment
Counting rule: Combinations
Number of Experimental Outcomes: 10
Explanation:
The explanation of the first experiment is on the first uploaded image
For the second experiment the counting rule is permutation because from the experiment we can see that the order of selection is important
To obtain the Number of Experimental Outcomes:
We have:
For the third experiment the the counting rule is combination because the order of selection is not important
To obtain the Number of Experimental Outcomes:
We have:
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Answer:
a) 42.08 ft/sec
b) 3366.33 ft³/sec
c) 0.235
d) 18.225 ft
e) 3.80 ft
Explanation:
Given:
b = 80ft
y1 = 1 ft
y2 = 10ft
a) Let's take the formula:
1 + 8f² = (20+1)²
= 8f² = 440
f² = 55
f = 7.416
For velocity of the faster moving flow, we have :
V1 = 42.08 ft/sec
b) the flow rate will be calculated as
Q = VA
VA = V1 * b *y1
= 42.08 * 80 * 1
= 3366.66 ft³/sec
c) The Froude number of the sub-critical flow.
V2.A2 = 3366.66
Where A2 = 80ft * 10ft
Solving for V2, we have:
= 4.208 ft/sec
Froude number, F2 =
F2 = 0.235
d)
= 18.225ft
e) for critical depth, we use :
= 3.80 ft
Answer:
Ts =Ta E)- 300(
569.5 K
5
Q12-W12 = -4014.26
Mol
AU2s = Q23= 5601.55
Mol
AUs¡ = Ws¡ = -5601.55
Explanation:
A clear details for the question is also attached.
(b) The P,V and T for state 1,2 and 3
P =1 bar Ti = 300 K and Vi from ideal gas Vi=
10
24.9x10 m
=
P-5 bar
Due to step 12 is isothermal: T1 = T2= 300 K and
VVi24.9 x 10x-4.9 x 10-3 *
The values at 3 calclated by Uing step 3l Adiabatic process
B-P ()
Since step 23 is Isochoric: Va =Vs= 4.99 m* and 7=
14
Ps-1x(4.99 x 103
P-1x(29x 10)
9.49 barr
And Ts =Ta E)- 300(
569.5 K
5
(c) For step 12: Isothermal, Since AT = 0 then AH12 = AU12 = 0 and
Work done for Isotermal process define as
8.314 x 300 In =4014.26
Wi2= RTi ln
mol
And fromn first law of thermodynamic
AU12= W12 +Q12
Q12-W12 = -4014.26
Mol
F'or step 23 Isochoric: AV = 0 Since volume change is zero W23= 0 and
Alls = Cp(L3-12)=5 x 8.311 (569.5 - 300) = 7812.18-
AU23= C (13-72) =5 x 8.314 (569.3 - 300) = 5601.53
Inol
Now from first law of thermodynamic the Q23
AU2s = Q23= 5601.55
Mol
For step 3-1 Adiabatic: Since in this process no heat transfer occur Q31= 0
and
AH
C,(T -Ts)=x 8.314 (300- 569.5)= -7842.18
mol
AU=C, (T¡-T)= x 8.314 (300
-5601.55
569.5)
mol
Now from first law of thermodynamie the Ws1
J
mol
AUs¡ = Ws¡ = -5601.55
Explanation:
McLeod gauge:
It is used to measure very low pressure of gas.It measure gas pressure by the help of mercury(Hg).it measure absolute pressure of gas.
McLeod gauge on the principle of Boyle's law.Boyle's law state that ,at constant temperature the pressure of gas is directly proportional to its volume.From Boyle's law
A sample of gas is taken from vacuum then its pressure is measured by help Hg.