It will be about 12:55ish at night if the train starts in the day
Any geometric sequence can be expressed as:
a(n)=ar^(n-1), a=initial term, r=common ratio, n=term number.
Here we are give the initial term so we have to solve to solve for the common ratio...
a(5)=-1280 and a(1)=-5 so
-1280=-5r^(5-1)
-1280=-5r^4
256=r^4
256^(1/4)=r
4=r, so our sequence is:
a(n)=-5(4^(n-1)), so the 7th term is:
a(7)=-5(4^6)
a(7)= -20480
Answer:
Step-by-step explanation:
The given figure is a trapezoid. The perimeter of a plane figure is expressed as the the distance around the figure. Therefore
Perimeter = a2 + b2 + a1 + b1
Perimeter = 4.7 + 5.8 + 8.5 + 6.89 = 25.89 feet
The formula for determining the area of a trapezoid is expressed as
Area = 1/2(a + b)h
Where
a and b are the length of The bases are the 2 sides of the trapezoid which are parallel with one another.
h represents the height of the trapezoid.
From the diagram,
a = 4.7 feet
b = 8.5 feet
h = 5.8 feet
Area = 1/2(4.7 + 8.5)5.8
Area = 1/2 × 13.2 × 5.8
Area = 38.28 feet²
Answer:
M = -1/6
Step-by-step explanation:
The z-value that corresponds to a two-tailed 95% confidence interval is z = +/- 1.96. Then the bounds of the confidence interval can be determined as:
Lower bound = mean - z*SD/sqrt(n) = 20 - 1.96*2/sqrt(100) = 20 - 0.12 = 19.88 hours
Upper bound = mean + z*SD/sqrt(n) = 20 + 1.96*2/sqrt(100) = 20 + 0.12 = 20.12 hours
So the first choice is the correct answer: 19.88-20.12 hours
