1.1, 0.10299, 0.1038, 0.9 im pretty sure
Answer:
(B) The correct interpretation of this interval is that 90% of the students in the population should have their scores improve by between 72.3 and 91.4 points.
Step-by-step explanation:
Confidence interval is the range the true values fall in under a given <em>confidence level</em>.
Confidence level states the probability that a random chosen sample performs the surveyed characteristic in the range of confidence interval. Thus,
90% confidence interval means that there is 90% probability that the statistic (in this case SAT score improvement) of a member of the population falls in the confidence interval.
Answer:
3√3
Step-by-step explanation:
For the problem shown here, your answer 3√3 is correct.
When there is a radical by itself in the denominator, you multiply numerator and denominator by a radical that results in the product being rational. For a square root, that will usually be the same square root:
![\dfrac{9}{\sqrt{3}}=\dfrac{9}{\sqrt{3}}\cdot\dfrac{\sqrt{3}}{\sqrt{3}}=\dfrac{9\sqrt{3}}{3}=\boxed{3\sqrt{3}}](https://tex.z-dn.net/?f=%5Cdfrac%7B9%7D%7B%5Csqrt%7B3%7D%7D%3D%5Cdfrac%7B9%7D%7B%5Csqrt%7B3%7D%7D%5Ccdot%5Cdfrac%7B%5Csqrt%7B3%7D%7D%7B%5Csqrt%7B3%7D%7D%3D%5Cdfrac%7B9%5Csqrt%7B3%7D%7D%7B3%7D%3D%5Cboxed%7B3%5Csqrt%7B3%7D%7D)
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If the problem has a sum in the denominator involving a square root, then you multiply numerator and denominator by the conjugate of that sum (the sum with the sign changed). This uses the special product "difference of squares" to eliminate the radical term.
<u>Example</u>:
![\dfrac{9}{2-\sqrt{3}}=\dfrac{9}{2-\sqrt{3}}\cdot\dfrac{2+\sqrt{3}}{2+\sqrt{3}}=\dfrac{9(2+\sqrt{3})}{2^2-(\sqrt{3})^2}=\dfrac{18+9\sqrt{3}}{4-3}\\\\=\boxed{18+9\sqrt{3}}](https://tex.z-dn.net/?f=%5Cdfrac%7B9%7D%7B2-%5Csqrt%7B3%7D%7D%3D%5Cdfrac%7B9%7D%7B2-%5Csqrt%7B3%7D%7D%5Ccdot%5Cdfrac%7B2%2B%5Csqrt%7B3%7D%7D%7B2%2B%5Csqrt%7B3%7D%7D%3D%5Cdfrac%7B9%282%2B%5Csqrt%7B3%7D%29%7D%7B2%5E2-%28%5Csqrt%7B3%7D%29%5E2%7D%3D%5Cdfrac%7B18%2B9%5Csqrt%7B3%7D%7D%7B4-3%7D%5C%5C%5C%5C%3D%5Cboxed%7B18%2B9%5Csqrt%7B3%7D%7D)
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It is easy to demonstrate that none of the offered choices for this problem has the same value as 9/√3.
9/√3 ≈ 5.196. Offered choices have values of about 4.798, 1.732, 6.681, 23.196 -- none even close.
Please discuss this question with your teacher.
write question properly bro