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s344n2d4d5
27 days ago
5

A researcher took a random sample of 100 students from a large university. She computed a 95% confidence interval to estimate th

e average weight of the students at this university. The confidence interval was too wide to provide a precise estimate.True or false? The researcher could produce a narrower confidence interval by increasing the sample size to 150.A medical researcher is investigating the effect of drinking coffee on systolic blood pressure. The researcher assumes the average systolic blood pressure is 120 mmHg. For a random sample of 200 patients, the researcher takes two measurements of systolic blood pressure. The first systolic blood pressure measurement is taken during a week when the patients drink no coffee, and the second systolic blood pressure measurement is taken during a week when the patients drink at least two cups of coffee. The medical researcher wonders whether there is a significant difference between the blood pressure measurements. Which of the following is the correct null and alternative hypothesis for the medical researchers study?
Mathematics
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The steps to derive the quadratic formula are shown below: Step 1 ax2 + bx + c = 0 Step 2 ax2 + bx = − c Step 3 x2 + b over a ti
PIT_PIT [12445]

Answer:

x + \frac{b}{2a} = \frac{+/ - \sqrt{b^2-4ac} }{2a}

Step-by-step explanation:

Step 1:

ax^2+bx+c = 0

Step 2:

ax^2+bx = -c

Step 3:

\frac{ax^2+bx}{a} = \frac{-c}{a}

Step 4:

To complete the square, add \frac{b^2}{4a^2} to both sides.

x^2 + \frac{bx}{a} + \frac{b^2}{4a^2} = \frac{-c}{a} + \frac{b^2}{4a^2}

Step 5:

x^2 + \frac{bx}{a} + \frac{b^2}{4a^2} = \frac{-4ac+b^2}{4a^2}

Step 6:

Taking square roots on both sides.

x + \frac{b}{2a} = \frac{+/ - \sqrt{b^2-4ac} }{2a}

3 0
3 months ago
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