Answer:
f(x) = ( 1/3) ^ (x)
Step-by-step explanation:
The function is
f(x) = (1/3) ^ (x)
When x = 1 f(x) = 1/3
when x=2 f(x) = 1/9
When x = -1 f(x) = ( 1/3) ^ -1 = 3/1 =3
1. C
2. B
Good luck with the rest
64/4 is 16 if that's what you meant.
Answer:
Step-by-step explanation:
For this case we have the following info given:
Weight before diet 180 125 240 150
Weight after diet 170 130 215 152
We define the random variable 
and we can calculate the inidividual values:
D: 10, -5, 25, -2
And we can calculate the mean with this formula:
And the deviation with:
And after replace we got:
And the confidence interval for this case would be given by:
The degrees of freedom are given by:
For the 95% of confidence the value for the significance is 
and the critical value would be 
. And replacing we got:
Answer:
3.33×10⁴
Step-by-step explanation:
You can use the hint, or you can use a common exponent. Here is the latter case.
(3.9×10⁴) -(5.7×10³) = (3.9×10⁴) -(0.57×10⁴) = (3.9 -0.57)×10⁴
= 3.33×10⁴
_____
With a little practice, you can see the effect on exponents of moving the decimal point. Here, we have ...
5.7×10³ = (0.57×10)×10³ = 0.57×(10×10³) = 0.57×10⁴
__
When adding or subtracting in scientific notation, all that is required is that the exponents of all the numbers be the same. The hint says make all the exponents be 0. Above, we have chosen to make them all be 4. You could also use 3:
(3.9×10⁴) -(5.7×10³) = (39×10³) -(5.7×10³) = (39 -5.7)×10³
= 33.3×10³ = 3.33×10⁴
