Helpppp pleeasseee, will mark brainliest!

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

2x+1=3(x+1)-x-2 solve for x

irina [24]

2x+1=3(x+1)-x-2
2x+1=3x+3-x-2
2x+1=2x+1
2x=2x
x=x

infinite answers

5 0

3 years ago

February 29th is on Sunday. on what day will the next February 29th be?

krek1111 [17]

Answer: Friday

Step-by-step explanation:

If February 29th is on a Sunday, then, the day that the next February 29th will fall on will be Friday.

First and foremost, we should realise that February has 28 days but in leap years which takes place every 4 years, it has 29 days.

We should realise that the dates in the calendar are arranged in such a way that if a particular date falls on a particular day this year, the date will fall on the next day next year. e.g. since January 20 falls on. Wednesday this year, it will fall on a Thursday next year.

Since February 29 is a date for a leap year, following the above explanation, if February 29th is on a Sunday, then, the day that the next February 29th will fall on will be Friday which is in the next four years.

4 0

3 years ago

A city government is considering raising the local income tax to pay for improvements to government facilities. A

MariettaO [177]

The results of the survey will most likely suffer from wording bias.

<h3><u>Wording Bias</u></h3>

The question asked in the survey contains certain characteristics that induce the respondent to think about the question asked in a negative way.

Thus, the word "wasteful" induces respondents to answer the question bearing in mind the negative criticism made by the questioner, which may influence the final answer.

Learn more about bias in brainly.com/question/1337465

4 0

3 years ago

Lucille wants to carpet her family room. Her family room is rectangular and has a length of 21 feet and a width of 17 feet. How

madreJ [45]

Answer:

$803.25

Step-by-step explanation:

Given data

Dimension for the room

Length= 21 ft

Width= 17ft

Area= L*W

Area= 21*17

Area= 357 ft^2

Lucy will need to get 357ft^2 of carpet

We are given that a square ft cost $2.25

Hence to carpet the room the cost will be $2.25*357= $803.25

3 0

3 years ago