Answer:
The number is
Step-by-step explanation:
From the question we are told that
The sample size is n = 800
The number of seniors is S = 519
The number of commuters is C = 430
The number of of seniors that are commuters is
Generally the number of 800 surveyed students who were seniors or were commuters is mathematically evaluated as
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The perimeter of the original triangle is 43.2 cm. What is the perimeter of the reduced triangle?
10.8
cm
In the previous problem, you found the perimeter of a reduced triangle. Explain how you found the new perimeter using proportions.
Answer:
10.8 Cm
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ur welcome ♥️♥️♥️
Answer:
a) The equation of Z and C is Z =K C
b) K = 2
Step-by-step explanation:
Explanation:-
Given data Z is directly proportional to C
⇒ Z ∝ C
⇒ Z = K C
The equation of relating Z and C
Z = K C
Given Z = 20 and C =10
20 = K ( 10)
⇒ K = 2
Answer:
We can think in this situation as:
There is 10% (or a probability equal to 0.1) where the citrus grower's profit will be reduced by $15,000
There is 10% (or a probability equal to 0.1) where the citrus grower's profit will be reduced by $25,000
And in the remaining 80% (or a probability equal to 0.8), the profit does not change.
Then the expected value for the total profit can be written as:
EV = $100,000 + ( 0.1*(-$15,000) + 0.1*(-$25,000) + 0.8*$0)
= $96,000
In the case where the citrus grower spends $5000 to protect the fruits against possible bad weather, there is a 100% that is profit will not change, but he must pay $5,000
Then his profit will be:
P = $100,000 - $5,000 = $95,000
So in this case, the profit is $1000 less than the expected profit in the prior case. So the scenario where he does not buy the protection has a larger expected profit, which may mean that is better to not buy it (in a straight mathematical point of view)
One also could think that the values are really close together, so buying the protection does not mean a big change, and increases the security
Answer:
the probability of the treasure being in the area given that no treasure is found is 0.0625 (6.25%)
Step-by-step explanation:
denoting the event N= no treasure is found , then
P(N) = probability that the lost treasure is in the area* probability that the lost treasure is not found in the treasure's area + probability that the lost treasure is not in the area* probability that the lost treasure is not found in other areas = 0.4*0.1 + 0.6*1 = 0.64
P(N) = 0.64
then we can get the conditional probability using the theorem of Bayes . Denoting the event A= the treasure being in the area
P(A/N) = P(A∩N)/P(N) = 0.4*0.1/0.64 = 0.0625 (6.25%)
where
P(A∩N) = probability of the treasure being in the area and no treasure is found
P(A/N) = probability of the treasure being in the area given that no treasure is found
Part
How much time, in minutes, do water tank A and water tank B have to be drained in order for them to have the same amount of water?
Answer: In 20 minutes, tanks A and B will each have 120 gallons remaining in them.
Step-by-step explanation:
The equation, the amount at which they will be equal, represents the given starting amounts minus the gal/min times the unknown time in minutes, m.
220 - 5m = 180 - 3m Subtract 180 from both sides; add 5m to both sides.
220-180 -5m +5m = 180-180 +5m - 3m Combine like terms
40 = 2m Divide both sides by 2
20 = m
Check: Substitute 20 for m in the equation
220 - 5(20) = 180 - 3(20)
220 - 100 = 180 -60
120 = 120 True!