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Answer:

The median of the MCAT scores was of 500.

The first quartile of MCAT scores was of 492.845.

The third quartile of MCAT scores was of 507.155.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The mean score was 500.0 with a standard deviation of 10.6.

This means that [tex]\mu = 500, \sigma = 10.6[/tex]

Median:

In a normal distribution, the median is the same as the mean, so the median of the MCAT scores was of 500.

First quartile:

This is the 100*(1/4) = 25th percentile, which is X when Z has a pvalue of 0.25. So X when Z = -0.675.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.675 = \frac{X - 500}{10.6}[/tex]

[tex]X - 500 = -0.675*10.6[/tex]

[tex]X = 492.845[/tex]

The first quartile of MCAT scores was of 492.845.

Third quartile:

This is the 100*(3/4) = 75th percentile, which is X when Z has a pvalue of 0.75. So X when Z = 0.675.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.675 = \frac{X - 500}{10.6}[/tex]

[tex]X - 500 = 0.675*10.6[/tex]

[tex]X = 507.155[/tex]

The third quartile of MCAT scores was of 507.155.

Answer:

40%

Step-by-step explanation:

Answer:

If you need help on further questions like this, divide what he has to what he needs or his goal

in order to get 37.5% you have to divide 75/ 200

You will get 0.357 and that is 37.5% this is ABOUT 40% but I reccomend putting 37.5% to be safe.

9514 1404 393

Answer:

  y = 4x -7

Step-by-step explanation:

Rearranging the slope-intercept for equation, we can find the intercept:

  y = mx +b

  y -mx = b . . . . . subtract mx

We know the slope of the parallel line is the same as that of the given line (m=4), so we only need to find 'b'.

  b = 9 -4(4) = -7

The desired equation is ...

  y = mx +b

  y = 4x -7

Answer:98

Step-by-step explanation:

Do mental math if she used 12 and now has 86 then all you do is add 12 and 86 and you get 98

Answer: 24

Step-by-step explanation:

Basically you just need to add the sides up to get your answer, its like breaking it up and adding simply.

Answer:250, percentage decreased by 35% (percent) of its value = 162.5

Answer: 6miles

Step-by-step explanation: 6miles = 31680ft so 31680>31678

Answer:

D All positive integers are rational numbers.

Step-by-step explanation:

Integers are rational numbers

Answer:

136

Step-by-step explanation:

Let the three consecutive numbers be a, a + 1, a + 2

Therefore,

a + a + 1 + a + 2 = 405

3a + 3 = 405

3a = 405 - 3

3a = 402

a = 402/3

a = 134

Third number = a + 2 = 134 + 2 = 136

Answer:

c- 44

180-136

Step-by-step explanation:

pls mark brainliest :)

Answer:

c.44

Step-by-step explanation:

∠D+136=180(properties of trapezium)

∠D=44

Answer:

area of square

= side × side

= 3/4 ×3/4

=9/16

Answer:

niceeeeeeeeeeeeeeeee!

Step-by-step explanation:

Answer:

true truw

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

the x-axis is the horizontal axis

Answer:

the product of two positive numbers is positive.

Step-by-step explanation:

the product of a number and zero will always be zero, the product of two negative numbers is always positive, and the product of a positive number and a negative number is always going to be negative thereforew the only correct answer is the last option

Answer:

x= -10

Step-by-step explanation:

PEMDAS

First you multiply- -2x?

You don't know what x is so you subtract 4 for 16

16-4=12

2-12= -10

Answer:

15

Step-by-step explanation:

5 x 3 = 13

15 servings are possible.

Answer:

Keri's monthly loan payment if she gets a 5% loan for 4 years is $300

Step-by-step explanation:

Answer:

It is of the form p(x)/q(x) where p(x) and q(x) are polynomials, and g(x) does not equal 0  

If r is given, it does not change the fact that there is still a variable in the denominator.

If t is given, there is no longer a variable in the denominator. The function is still rational, but the case of t being a constant, it is also linear.

Step-by-step explanation:

on edge 2021 its correct ^^

Answer:

C

Step-by-step explanation:

Line A is Parallel to Line B

Line C intersects Line A and B

Answer:

line C

Step-by-step explanation:

given f(x)=(x+5),findf(9)

0C.-196

9514 1404 393

Answer:

  5

Step-by-step explanation:

A graph can be helpful. It shows possible integer coordinates of Z could be ...

  (-1, 2) or (-5, 1)

These have distances 5 and 4√2 from Y, respectively. Of these, only the length YZ = 5 appears on your list of possible answers.

__

The hypotenuse of a right triangle is the diameter of the circumcircle. That is, the right angle vertex (Z) appears on a circle whose center is the midpoint of the hypotenuse. Here, that circle center is C = (-4-1, 2-3)/2 = (-5/2, -1/2). The given point Y differs from this by C - Y = (-5/2 -(-1), -1/2 -(-3)) = (-3/2, 5/2). So, a point with integer coordinates will be 2×(5/2) = 5 units above point Y, which puts it in the 2nd quadrant.

__

Adding any of the 8 combinations (±3/2, ±5/2) or (±5/2, ±3/2) to the circle center coordinates will result in integer coordinates for the right angle vertex. Of these, only the ones listed above are in the second quadrant. A couple are on the y-axis, and two of the possibilities are X and Y. The other two are in the third quadrant.

Answer:

a lot of kids and adults

Step-by-step explanation:

Answer:

4 90 degree angles

Answer:

spooky spooky spooky I no speak Spanish

Step-by-step explanation:

same

Answer:

Step-by-step explanation:

IMPORTANT: ∛8ˣ is not the square root of 8³.  ∛ means cube root.

∛x = x^(⅓)

Answer:

The area of the floor equals 229 square feet.

Step-by-step explanation:

The volume of a rectangular storage is given by the area of the floor multiplied by the height of the room. (It follows directly from the formula of a bar.) So the area of the floor is given by the volume of the rectangular storage divided by the height of the room. In symbols: [tex]V=Ah[/tex] gives [tex]h=\frac{V}{A}[/tex]. Substituting the given gives that [tex]h=\frac{2061}{9}=229[/tex] square feet, precisely what we were asked.

Answer:

The area of the floor is 229 ft.

Answer:

Olivia-2.25

Hope I helped

Answer:

9/10

Step-by-step explanation:

combine the fractions yk?

Answer:

slope: 3/1.5

Step-by-step explanation:

You go up 3 and over 1 1/2 like its half then your gonna write 3/1.5

Answer:

x = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

5(2x - 8) + 15 = -15

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that -15 does indeed equal -15.

∴ x = 1 is the solution to the equation.

Answer: x=1

Step-by-step explanation:

Let's solve your equation step-by-step.

5(2x−8)+15=−15

Step 1: Simplify both sides of the equation.

5(2x−8)+15=−15

(5)(2x)+(5)(−8)+15=−15(Distribute)

10x+−40+15=−15

(10x)+(−40+15)=−15(Combine Like Terms)

10x+−25=−15

10x−25=−15

Step 2: Add 25 to both sides.

10x−25+25=−15+25

10x=10

Step 3: Divide both sides by 10.

10x/10=10/10

Answer:

the answer is E . infinitely many

explaination:

The answer is Infinitely because if the sides are parallel then the other two sides must be the same measurement. However, they can be any measurement they want. So the answer is infinite triangles.

Answer:

E. Infinitely many