To solve this problem, we need to use the Pythagorean Theorem, which states that a^2 + b^2 must equal c^2. "a" is the length of one of the legs (shorter sides of the triangle) and "b" is the length of the other leg. "c" is the length of the hypotenuse.
a = y = 36.25cm
b = x = 20.93cm
a^2 + b^2 = c^2
(36.25)^2 + (20.93)^2 = c^2
1314.0625 + 438.0649 = c^2
√1752.1274 = √c^2
c = 41.8584209 ≈ 41.86
So your final answer is...
The length of the hypotenuse is about 41.86 cm.
Answer: 16590
Step-by-step explanation:
The formula we use to find the sample size is given by :-
, where p = prior estimate of population proportion.
= Critical z-value (Two- tailed)
E= Margin of error .
Let p be the population proportion of cyanobacteria.
Given : E = 0.01
Critical value for 99% confidence interval : 
If Ian does not want to rely on previous knowledge , then we assume p=0.5 because the largest standard error is at p=0.5.
Now, the required sample size = 
Required sample size = 16590
Answer:
B. (6,2) and (3,0)
Step-by-step explanation:
To find the slope the equation is 
so for (6,2) and (3,0) the equation would look like this 
which simplies down to 
and a negative divided by a negative is a positive so you're slope is 
and it matches the question.
For this case we have the following expression:
p ^ 0
By properties of exponents we have:
Any number raised to the exponent zero is equal to one.
We have then, that applying this property:
p ^ 0 = 1
Answer:
the simplified form of p ^ 0 is:
D. 1
