Answer:
= 29/12 − -13/6
<span>= ((29 × 6) − (-13 × 12)) / (12 × 6) </span>
= (174 - -156) / 72
= 330/72
= 55/12
<span>= 4 7/12</span>
The function:
f ( x ) = x * 0.965^t
where x is the initial amount and t is the number of the years
80 = x * 0.965^3
80 = x * 0.89632
x = 80 : 0.89632 ≈ 89
Answer:
The initial amount of animals was 89.
Answer:
The 95% confidence interval of the mean time it took a person to find their dream home is between 5.64 months and 6.16 months.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 5.9 - 0.26 = 5.64 months
The upper end of the interval is the sample mean added to M. So it is 5.9 + 0.26 = 6.16 months.
The 95% confidence interval of the mean time it took a person to find their dream home is between 5.64 months and 6.16 months.
Answer:
C
Step-by-step explanation:
It is provable about 180 ways, some of them quite elegant. There was a book published in the 1940s listing what they then knew. Others have been added since and it shows up in the oddest places which you can search out.
That is interesting but it does not answer your question.
A: Nothing is defined. This statement is a truth, but unproved. A is not the answer.
B: No term requires defining unless you don't know what a hypotenuse is, but that is a separate problem.
D: a postulate is a statement that is true that cannot be proven nor does it need to be. There aren't that many around in math. Euclid said "All right angles are congruent." True and not needing proof.
C: It is a theorem. This is a statement that may not be obvious and does require proof.
