Answer:
A) I) INDEPENDENT VARIABLE (II) DEPENDENT VARIABLE
B) I) EXPERIMENTAL STUDY (II) DEPENDENT VARIABLE (III) INDEPENDENT VARIABLE
Step-by-step explanation:
A) In the first statement, we are told that she conducts a study on 120 volunteers randomly assigned to five different insomnia treatment groups, one of which is a control group receiving a placebo. The number of hours slept per night is recorded for each participant over two weeks.
Thus;
I) The type of insomnia treatment is the "INDEPENDENT" variable.
II) The number of hours slept per night over 2 weeks is the "DEPENDENT" variable.
B) This also involves a research to find out the impact of a drug.
Thus;
I) It is an experimental study.
II) The difference in cholesterol level is the "DEPENDENT" variable
II) The treatment with drug or placebo is the "INDEPENDENT VARIABLE".
P(t) = 646*0.66^t . . . . . exponential function for population
p(10) = 646*0.66^10 ≈ 10 . . . population in 10 years
Answer:
The answer to your question is:
side 1 = 22.5 cm
side 2 = 30 cm
side 3 = 37.5 cm
Step-by-step explanation:
ratio = 3:4:5
Perimeter = 90 cm
First we get the sum of the numbers of the proportions
3 + 4 + 5 = 12
now divide the perimeter by the number of parts (12)
90 / 12 = 7.5
Side 1 = 3(7.5) = 22.5 cm
Side 2 = 4(7.5) = 30 cm
Side 3 = 5(7.5) = 37.5 cm
Perimeter = 22.5 + 30 + 37.5 = 90 cm
Answer:
It will take 3.214 minutes.
Step-by-step explanation:
<em>It is given that, the conveyor belt transports 300 cans in 5 mins and the smaller belt transports 300 cans in 9 minutes.</em>
Thus , the speed of conveyor belt is,
= 
and of smaller belt is,
= 
Thus, when both are used together,
<em>conveyor belt will transport (60)(t) cans and smaller belt will transport
(t) cans per minute.</em>
Thus the equation becomes,

t = 
Answer: Probability that at least two of the triplets will win a medal is19/24
Step-by-step explanation:
Total number of cmpetitors=9
Total number of selecting 3 winners out of 9 competitors=9C3=84
Number of ways of selecting 2 out of 3 triplets=3C2
Number of selecting 1 out of 6 others =6C1
Number of selecting 2 out of 3 triplet and o1 out of 6 others= 3C2 ×6C1=18
Number of selecting 3 out of 3 triplets=3C3=1
Total ways of selecting less than 2 or 2 triplets= 18+1=19
Probability that at least 2 of the triplets will win is 19/84