Answer:a. μ = 9.667 hours
b. σ = 1.972 hours
c. SE = 0.805 hour
Sample size (n) = 6
Sample data (xi) = 10, 8, 9, 7, 11, 13
a. Mean time spent in a week for this course by students:
Sample mean is given by:
Mean time spent in a week per student is 9.667 hours
b. Standard deviation of the time spent in a week for this course by students:
Standard deviation is given by:
c. Standard error of the estimated mean time spent in a week for this course by students:
Standard error is given by:
Answer:
y is also doubled.
Step-by-step explanation:
Direct proportionality between and means that
or
,
which indicates a linear relationship between and because they are related by a constant.
Therefore, if x is doubled, then the new value of is
The new value of is 2 times the previous; therefore, is doubled as is doubled.
Answer:
The correct explaination is Point G can be the centroid because 12:6 equals 2:1
Step-by-step explanation:
Given in triangle ABC, the segments drawn from vertices intersect at point G.
Segment FG measures 6 cm and and segment FC measures 18 cm.
FG = 6 cm & FC = 18 cm
and also FC = FG + GC
18 = 6 + GC ⇒ GC = 12
Note: The centroid divides each median in a ratio of 2:1
& 12:6 give rise to 2:1
Hence, the correct explaination for this is Point G can be the centroid because 12:6 equals 2:1
2 weeks = 14 days
(14 x 3)/8 =
42/8 =
21/4
Sara will need to pack 21/4 litres of fuel
(g-f)(x)=g(x)=f(x)
(g-f)(x)=6x-4+x^2
(g-f)(x)=x^2+6x-4 then:
(g-f)(3)=3^2+6*3-4
(g-f)(3)=9+18-4
(g-f)(x)=23