a fall dance sold 18 tickets during the first day of sales. this was 25% of the total sales. how many tickets were sold to the f
2 answers:
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Answer:
21
Step-by-step explanation:
Using<em> Simple Random Sampling</em>, we can estimate the sample size by the formula
where
n = sample size
Z = the z-score corresponding to the confidence level 99.5%
S = the assumed standard deviation = 3 seconds
e = margin of error = 2 seconds
<em>It is worth noticing that the higher the confidence level, the larger the sample should be. </em>
The z-score corresponding to a confidence level of 99.5% can be obtained either with a table or the computer and equals
Z = 3.023
Replacing the values in our formula
So the size of the sample should be at least 21.
Answer:
a. 0.588
b. 0.0722
c. 4.576 sqft/sec
Step-by-step explanation:
Let b and h denote the base and height as indicated in the diagram. By pythagoras theorem, because it is a right angle triangle.
It is given that
Now differentiate (1) with respect to t (time) :
The minus sign indicates that the value of h is actually decreasing. The required answer is 0.588.
b. From the diagram, infer that . When b = 8, then
.
Differentiate the above equation w.r.t t
c. The area of the triangle is given by . Differentiating w.r.t t,
Plugging in b = 8, h = 13.856, ,
