The answer is precisely -33
Answer:
B. csc²(x)
Step-by-step explanation:
You can use the relations ...
sec(x) = 1/cos(x)
csc(x) = 1/sin(x)
cot(x) = cos(x)/sin(x)
to replace the functions in your expression. Then you have ...
sec²(x)·cot²(x) = (1/cos(x)·cos(x)/sin(x))² = (1/sin(x))² = csc²(x)
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Alternate solution
You can also use the relation
cot(x) = csc(x)/sec(x)
Then ...
(sec(x)·cot(x))² = (sec(x)·csc(x)/sec(x))² = csc²(x)
<span>The standard deviation can be zero if all the data points are the same. Thestandard deviation can be larger than the mean. The range of numbers has to be large for this to occur. One such sample is {0, 0, 1, 15, 20}, where = 7.2 and s 8.6.</span>
Answer:
C with 3000 successes of 5000 cases
Step-by-step explanation:
In test statistics the number of samples goes a long way in determining the result of a test.
Using the z score formula
Test statistic z score can be calculated with the formula below;
z = (p^−po)/√{po(1−po)/n}
Where,
z= Test statistics
n = Sample size
po = Null hypothesized value
p^ = Observed proportion
Therefore the z score is directly proportional to the square root of the sample size.
z ∝ √n
The higher the sample size, the higher the z score, the higher the evidence of confirming the alternative hypothesis.
Since the all have the same proportion (0.6), and options c has the highest sample size (5000 cases), it will give the strongest evidence for the alternative hypothesis
