$10.50a + $3.75b = $2,071.50
It is given that b = 82
Therefore - $10.50a + ($3.75)(82) = $2,071.50
or $10.50a + $307.50 = $2,071.50
$10.50a = $2,071.50 - $307.50 = $1,764.00
Therefore - a (number of adult tickets sold) = $1,764.00/$10.50 = 168 tickets
Answer:
1/6, because there is only one way it's possible and there are 6 outcomes.
Step-by-step explanation:
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:
(–1, 1) and (4, –2)
Step-by-step explanation:
we know that
The vertex of the right angle of the triangle could be situated at a point with the same x-coordinate of point A and the same y-coordinate of point B or at a point with the same x-coordinate of point B and the same y-coordinate of point A
we have
A(4, 1) and B(–1, –2)
so
a point with the same x-coordinate of point A and the same y-coordinate of point B is the point (4,-2)
a point with the same x-coordinate of point B and the same y-coordinate of point A is (-1,1)
therefore
(–1, 1) and (4, –2)