Normally, I would pass right by this question, because it is so complicated
and there are so many numbers in it. But I've allowed myself to become
seduced by the bounty of a full 5 points waiting at the end of the rainbow,
and I decided to rush in where more reasonable people would rightly fear
to tread.
The answer is a number, that represents "after how many hours". So we
need to know how many hours AFTER WHAT. The question is not very
clear on when the beginning of time is, so I need to decide. I'm going to
say that the time when the bus leaves is the beginning of time. And I'm
going to call ' H ' the number of hours AFTER the bus leaves.
-- The bus covers 50 miles every hour. So 'H' hours after the bus leaves,
the bus is 50H miles away from the city, in some direction.
-- The car leaves 2 hours later. So 'H' hours after the bus leaves, the car
has only been traveling for (H-2) hours.
-- The car covers 70 miles every hour. So 'H' hours after the bus leaves,
the car is (70)x(H-2) miles away from the city, in the OTHER direction.
-- Since the bus and the car are moving in opposite directions, the distance
between the bus and the car is the SUM of the distances each one covers.
'H' hours after the bus leaves, they are (50H) plus (70)(H-2) miles apart.
What we need to figure out is: When is that distance 800 miles ?
The distance between them at 'H' hours after the bus leaves is
(50H) plus (70)(H-2) miles
Eliminate the first parentheses: 50H + (70)(H-2)
Eliminate the rest of the parentheses: 50H + 70H - 140
Combine the terms with 'H' in them: 120H - 140
So here's the equation: 120H - 140 = 800
Add 140 to each side: 120H = 940
Divide each side by 120 : H = 7.8333 hours
= 7 and 5/6 hours
= 7 hours and 50 minutes
after the bus leaves.
Check:
Assume that H = 7 hrs 50 minutes (7 and 5/6 hours)
The bus has covered (50 x 7-5/6) = 391 and 2/3 miles.
The car has been traveling for only 5 and 5/6 hours
The car has covered (70) x (5-5/6) = 408 and 1/3 miles
How far apart are they ? (391-2/3) + (408-1/3) = 800 miles ! YAY!
Note: If the book or the homework sheet wants to count the hours
after the CAR leaves, then the answer is 5-5/6 hours, not 7-5/6 .
What i did is multiply 65 times 100, and divided by 129,
(65)(100)= 6500
6500/129= 50.3
then to check i did multiply 50.3 by 129, and divided by 100
(50)(129)= 6450
6450/100= 64.50
I don't think its 50% or either 51%, because 50% gives something less than 65, and 51% gives more than 65. So maybe its in the middle.
to get the right percentage do 50.1 or 5.6 times 129, and then divide by 100
Answer:
(0.1753 ; 0.2447)
Step-by-step explanation:
Using the relation :
Confidence interval :
p ± margin of error
p = 0.21
1 - p = 0.79
n = 530
Zcritical at 95% confidence level = 1.96
Margin of Error : Zcritical * sqrt[(p(1-p))/n]
1.96 * sqrt[(0.21(0.79))/530]
1.96 * 0.0176923 = 0.0346769
Margin of Error = 0.0346769
Lower boundary = 0.21 - 0.0347 = 0.1753
Upper boundary = 0.21 + 0.0347 = 0.2447
Confidence interval :
(0.1753 ; 0.2447)
When production is inside the production possibilities curve, it means that the production is not maximized because some resources are unused.
A production possibility curve shows how an economy can be able to produce two goods while making use of the resources that it has. It follows the principle of trade off because as the production of a particular good is increased, the other good has to be reduced.
Production on the production possibility curve shows that the economy is making efficient use of the resources that it has.
When the production is inside the production possibility curve, it means such economy isn't making efficient use of the resources that it has.
Therefore, the correct option is A.
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