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almond37 [142]
3 years ago
6

Activity where are you going​

Mathematics
1 answer:
Vaselesa [24]3 years ago
3 0

Answer:

I will center school one year from now despite the fact that my acumen is far more noteworthy than the normal sixth grader

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The total scores on the Medical College Admission Test (MCAT) in 2013 follow a Normal distribution with mean 25.3 and standard d
Elden [556K]
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

\mathbb P(X

You have

\mathbb P(X

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
\dfrac{Q_3-25.3}{6.5}=0.6745\implies Q_3\approx29.7

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

\mathbb P(-z

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

\underbrace{\mathbb P(-z

You have

\mathbb P(Z

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).
7 0
3 years ago
What is the algebraic expression for the area of this house block?
Sidana [21]

Answer:

x² + 27x + 180

Step-by-step explanation:

(12 + x)(15 +x) = 12*15 + 12x + 15x + x² = x² + 27x + 180

4 0
3 years ago
Find the volume of the cylinder
Alex787 [66]

Answer:

see below

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the radius is 9 and the height is 20

V = pi  ( 9)^2 ( 20)

V = 1620 pi

If we approximate pi by 3.14

V =5086.80 cm^3

If we approximate pi by pi button

V =5089.3800099 cm^3

8 0
3 years ago
Read 2 more answers
Which of the following best defines a function?
Sidana [21]
Answer: <span>A. A function is a special type of relation for which there is a rule that pairs each input with exactly one output.

Option B is incorrect because it does not include that there cannot be two x-values with the same y-value. Option C is incorrect because it is a relation, not just a set of ordered pairs. Option D is incorrect because there <em>is</em> a particular pattern in a function.

Hope this helps!</span>
8 0
3 years ago
Using the distributive property rewrite 2x + 16 as a product of two factors
tresset_1 [31]
2(x + 8)
Factor out the 2
5 0
3 years ago
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