How many integers $n$ satisfy the inequality $3n^2 - 4 \le 44$?
2 answers:
Answer:
7 integers
Step-by-step explanation:
The inequality to solve is
We can do algebra and solve this:
If we solve , we will get the intercepts. So:
<em>Since, the inequality is less than, the solution set is all numbers between -4 and 4. So</em>
<em>-4 < n < 4</em>
<em />
<em>*note: -4 and 4 is NOT included, so the integers in the range are:</em>
<em>-3, -2, -1, 0, 1 , 2, 3</em>
<em>Which is </em><em>7 integers.</em>
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Answer:
The 95% of confidence intervals
(2.84 ,2.99)
Step-by-step explanation:
A random sample of 20 accounting students results in a mean of 2.92 and a standard deviation of 0.16
given small sample size n =20
sample mean x⁻ =2.92
sample standard deviation 'S' =0.16
level of significance ∝ = 0.95
The 95% of confidence intervals
the degrees of freedom γ=n-1 =20-1=19
t-table 2.093
(2.92-0.0748,2.92+0.0748)
(2.84 ,2.99)
Therefore the 95% of confidence intervals
(2.84 ,2.99)
