Answer:
Step-by-step explanation:
Sleep Deprivation
In a recent study, volunteers who had 8 hours of sleep were three times more likely to answer correctly on a math test than were sleep-deprived participants.
(a) Identify the sample used in the study.
(b) What is the sample's population?
(c) Which part of the study represents the descriptive branch of statitics?
(d) Make an inference based on the results of the study?
Solution
A. The samples used is the hours of sleep and math test scores of the volunteers
B. The samples population is hours of sleep and math test scores of people in general
C. The part of the study that represent the descriptive branch of statistics is "three times more likely"
D.Inference: To perform well in a math test, a person should get at least 8 hours of sleep the night before.
APEX ! Non-linear systems of equation.
Answer:
xsin∅
Step-by-step explanation:
If the ladder is <em>x foot long</em>, and it can safely make a <em>maximum angle ∅</em> with the floor, then, the maximum height it can reach will be xsin∅
Answer: Time it took her to get to the school is 0.6 hours
The distance of the school from their home is 27 miles
Step-by-step explanation:
Mrs Dang drove her daughter to school at the average speed of 45 miles per hour.
Let x miles = distance from the school to their home.
Distance = speed × time
Time = distance / speed
Time used in going to school will be
x/45
She returned home by the same route. This means that distance back home is also x miles.
She returned at an average speed of 30 miles per hour.
Time used in returning home from school will be x/30
x/45
If the trip took one half hour, then the time spent in going to school and the time spent in returning is 1 1/2 hours = 1.5 hours. Therefore
x/30 + x/45 = 1.5
(15x + 10x) /450 = 1.5
15x + 10x = 450 × 1.5 = 675
25x = 675
x = 675/25 = 27
Time it took her to get to the school will be x/45
= 27/45 = 0.6 hours
