One fifth of the participants is 1/5*100=100/5=20 is the number of the participants given medicine. So the number of participants given placebo is 100-20=80.
80% of the 80 who took placebo felt improvements, so 20% of 80, which is
(20/100)*80=(2/10)*80=160/10=16 is the number of participants who took placebo and felt no improvement.
P(choosing participant who took placebo and felt no improvement)=
n(participant who took placebo and felt no improvement)/n(participants)
=16/100=0.16
Answer:
Please see the solution below:
Step-by-step explanation:
33)
Principal = $5,000
Interest Rate = 2.5% = 0.025
Time = 10 years
a)
Interest = Principal x Interest Rate x Time
Interest = $5,000 x 0.025 x 10
Interest = $1,250
b)
Total Balance = Interest + Principal
Total Balance = $1,250 + $5,000
Total Balance = $6,250
34)
Principal = $45,000
Interest Rate = 4.5% = 0.045
Time = 20 years
Interest = Principal x Interest Rate x Time
Interest = $45,000 x 0.045 x 20
Interest = $40,500
Answer:
equivalence relation
Step-by-step explanation:
idk this hard
Answer:
The cost is minimized for
and then 
and the ratio height / radius = 2.3
Step-by-step explanation:
When you solve these kind of problems you always need to ask yourself what am I minimizing or maximizing, for this case you need to minimize the cost function.
Suppose that the bottom of your drum has a radius 
and a height and a height 
then the are of the circle at the bottom would be
And the area of the sides would be given by
According to what they say the cost of the sides is 2$ per square meter and the cost of the bottom is 3$ per square meter.
So the cost would be given by this function.
Cost = 
But they mention that the volume = 2 cubic meters. On the other hand
Volume = 
= 2 if we replace on Cost we get that
When you find the derivative of that and equal to zero you will find that the the cost is minimized for
and then and the ratio height / radius = 2.3
