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cluponka [151]
2 years ago
13

WILL GIVE BRAINLYIST. HELP

Mathematics
2 answers:
KiRa [710]2 years ago
4 0

Answer:

You would need to use the Pythagorean Theorem

Step-by-step explanation:

First, you would want to take the Hypotenuse of 3 and square. Do the same for the 2.25. After that, you want to put in a calculator (Desmos Graphing Calculator) √3²-2.25² adn get the answer for the line of C and D (-2.06). After that, you do the same but on the other side: Take the Hypotenuse of 4 and the -2.06 and form it into √4² -2.06². Your final answer would be...

x = 3.43

ohaa [14]2 years ago
3 0

Answer:

Both triangles are right triangles because the angle d is 90 degrees in both sides

3 ^ 2 - 2.25^2 = 1.98

4^2 - 1.98^2 = 3.48

x = 3.48

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In a normal distribution, the median is the same as the mean (25.3). The first quartile is the value of Q_1 such that

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For the standard normal distribution, the first quartile is about z\approx-0.6745, and by symmetry the third quartile would be z\approx0.6745. In terms of the MCAT score distribution, these values are

\dfrac{Q_1-25.3}{6.5}=-0.6745\implies Q_1\approx20.9
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The interquartile range (IQR) is just the difference between the two quartiles, so the IQR is about 8.8.

The central 80% of the scores have z-scores \pm z such that

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That leaves 10% on either side of this range, which means

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Converting to MCAT scores,

-1.2816=\dfrac{x_{\text{low}}-25.3}{6.5}\implies x_{\text{low}}\approx17.0
1.2816=\dfrac{x_{\text{high}}-25.3}{6.5}\implies x_{\text{high}}\approx33.6

So the interval that contains the central 80% is (17.0,33.6) (give or take).
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