Answer:
2√133
Step-by-step explanation:
a²+b²=c²
8²+12²=c²
c²=208
208+18²=532
√532=23
Answer:
C. 125
Step-by-step explanation:
Given:
Bacteria on day 1 = 5
On day 2, each bacteria got split into 5.
So, number of bacteria on day 2 = 
Now, again on day 3, each of the 25 bacteria got split into additional 5 bacteria.
So, number of of bacteria on day 3 = 
Therefore, the population of bacteria on day 3 is 125.
Answer:
4.4 t = 13.2
t = 13.2 / 4.4 = 3
t = 3
Step-by-step explanation:
9514 1404 393
Answer:
32.9
Step-by-step explanation:
The ratio of long side to hypotenuse is the same for all of the triangles in the figure.
AD/AB = AB/AC
AB^2 = AD·AC = 30·36
AB = 6√30 ≈ 32.863
To the nearest tenth, AB ≈ 32.9.
Answer:
A sample of 1068 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error is:

95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population proportion?
We need a sample of n.
n is found when M = 0.03.
We have no prior estimate of
, so we use the worst case scenario, which is 
Then






Rounding up
A sample of 1068 is needed.