Answer:
B. 61%
Step-by-step explanation:
When we have the standard deviation of a sample, we use the t-distribution.
The width of an interval is related to the margin of error, which is given by the following equation:
M = T*s
In which T is related to the confidence level(and the sample size) and s is the standard deviation of the sample. Higher confidence levels have higher values of T.
A higher margin of error means that the interval is wider. To have a higher margin of error, we desire a higher value of T, which is achieved with a higher confidence level.
So the correct answer is:
B. 61%
Answer:
132 cm squared
Step-by-step explanation:
6x5=30
6x5=30
6x8=48
1/2(8x3)=12
1/2(8x3)=12
Total added together is 132 cm squared
Answer: Explicit Rule: a_n=30,000 • 2^n-1
Recursive Rule: a_n = 2a_n-1; a_1 = 30,000
Step-by-step explanation: the explicit rule for a geometric sequence is a_n = a_1 • r^n-1 and the recursive rule is a_n= r • a_n -1.
a_1 is the first term of the sequence, which is this case is 30,000. R is the common ration, which is 2 since it doubles each time. Substitute those numbers into the formulas and that’s what you’ll get. Hope this helps. God bless you!!!
This is an exponential growth/decay problem...
F=Ir^t, F=final value, I=initial value, r=rate, t=time, in this case:
F=I(1.03)^t and they just want to know when F=2I so
2=1.03^t take natural log of both sides...
ln2=t*ln1.03
t=ln2/(ln1.03)
t≈23.45
So it will take approximately 23.45 years for the population to double..
1990+23.45=2013.45
So during the year of 2013 the population will have double from its 1990 level.
Answer:
see explanation
Step-by-step explanation:
Under a translation < 5, - 9 >
5 is added to the original x- coordinate and 9 is subtracted from the original y- coordinate, that is
A(1, 4 ) → A'(1 + 5, 4 - 9 ) → A'(6, - 5 )
B(2, - 2 ) → B'(2 + 5, - 2 - 9 ) → B'(7, - 11 )
C(- 3, 2 ) → C'(- 3 + 5, 2 - 9 ) → C'(2, - 7 )
