Answer:
A. Increase sample size
Step-by-step explanation:
From the formula for estimating the confidence level interval for the mean:
X - Z × s/sqrt n where; X = sample mean; Z = z value corresponding to 95%;
s = standard deviation and n = sample size
It is evident from the equation that the confidence interval for the mean is inversely proportional to the sample size (n), hence increasing the sample size will result in a reduced interval width.
Answer:
(x + 4) (x + 1)
Step-by-step explanation:
I think it’s D? If not then probably b
Answer:
0.9%
Step-by-step explanation:
Given that:
A nest of ant is represented by the exponential growth function :
P(w)=24,000(1.063)^w
Where w = number of weeks
Recall :
Growth function is generally represented as :
P(t) = A(1 + r)^t
Where ; A is the initial population figure; r = growth rate and t = time
Hence, the growth rate per week of the function given is :
(1 + r) = 1.063
r = 1.063 - 1
r = 0.063
Number of days in a week = 7
Hence, growth rate per day = r /7
0.063 / 7
= 0.009
(0.009 * 100%) = 0.9%
Your answer is gonna be 56
some explanation stuff if needed :
8 questions, and your teacher will choose 5. The order doesn’t matter just whether or not they’re on the test!
Thats a combination (permutation is where the order matters).
nCr= (n!)/(n-r)!·r!
n is the number of options
r is the number you choose
! is “factorial” (multiplying every whole number down the 1; ex: 4! = 4·3·2·1 = 24)
so lets substitute:
n= 8 questions from which to choose
r= 5 the number the teacher will choose
8C5= (8!)/(8-5)!·5!
= (8!)/(3)!·5!
= (8·7·6·5·4·3·2·1)/(3·2·1)·(5·4·3·2·1)
= 40,320/(6)·(120)
= 40,320/720
= 56
There are 56 possible combinations of 5 questions your history teacher could choose.
hope i helped :)
~ mo