Answer: 12
Step-by-step explanation: I did the math
A new version of the Medical College Admissions Test (MCAT) was introduced in spring 2015 and is intended to shift the focus from what applicants know to how well they can use what they know. One result of the change is that the scale on which the exam is graded was modified, with the total score of the four sections on the test ranging from 472 to 528. In spring 2015, the mean score was 500.0 with a standard deviation of 10.6.
Required:
What are the median and the first and third quartiles of the MCAT scores?
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.
Please, please, please, please help
Question 1 of 5
Table A
Table B
Х
у
х
y
1
3
3
1
2
6
6
2
3
9
9
3
Graph A
Graph B
10
12
11
10
9
5
4
8 9 10 11 12
1 2 3 4 5 6 7 8 9 10 11 12
Which table and graph represent the equation y = 3X?
The table and graph that represents the equation y = 3x are:
Table A
Graph B.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
y = 3x
This means,
For x = 0, 1, 2, 3,
y = 0, 3, 6, 9
Now,
The coordinates on the graph of the equation y = 3x will have:
(0, 0), (1, 3), (2, 6), and (3, 9)
We see that,
Graph A has the coordinates:
(0,3).
This is not possible.
And,
Table B has y = 1 when x = 3.
This is not possible.
Thus,
The table and graph that represents the equation y = 3x are table A and graph B.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ7
Which graph represents the cost of hamburgers at Bulky's Store? Explain
Answer:
Graph B
Step-by-step explanation:
It seems more realistic i dont think 10 hamburgers would be 3 dollars
PLZ HELP ILL GIVE THIS IS THE LAST OF MY POINTS PLZZZ
Answer:
d
Step-by-step explanation:
14/7 so is 4/2
NEED THIS ASAP Solve each inequality and graph its solution
Answer:
x>22
Step-by-step explanation:
hope this helps
55 points and brainliest
What is the equation of the function that is graphed as line a?
y = 2 x - 1
y = - x - 1
y = - x
y = 3 x
Answer:
B. y = - x - 1Step-by-step explanation:
Line a is declining and has the y-intercept of -1
The equation with negative slope and - 1 y-intercept is:
y = - x - 1Correct option is B
55 points and brainliest
What is the equation of the function that is graphed as line a?
y = 2 x - 1y = - x - 1y = - xy = 3 xOption:-[tex]y = - x - 1[/tex]
at the local flea market, nike and reebok sneakers were being sold. all bike sneakers sold for $75.00 and reebok’s were being sold for $65.00. if 180 people bought sneakers for a total of $12,550, how many of each pair were sold?
Answer:
69.72
Step-by-step explanation:
Thats the answer if its not plz tell me
A vertical line has a run which is
A. 1
B -1
C. undefined
D. Zero
Answer:
A. 1 vertical line hasa run which is
How long will it take $50,000 take to double if it is compounded continuously at
13% interest rate?
I WILL GIVE BRAINLEST ASAP
x + 2 2/1=10
HELPPPPPPP!!!!!!!!!!!!!!!!!
Answer:
x+4=10x=6 Give brainlistFind the 4th term in the sequence
with the following definition:
a1 = 2
an = (an-1)2
The sum of the first four terms of the given sequence which is aₙ = (aₙ ₋ ₁)² is gotten as; 278
How to solve arithmetic sequence?We are given the arithmetic sequence as;
a₁ = 2
aₙ = (aₙ ₋ ₁)²
We already have the first term. Thus;
Second Term;
a₂ = (a₂ ₋ ₁)²
a₂ = 2² = 4
Third Term;
a₃ = 4²
a₃ = 16
Fourth Term;
a₄ = 16²
a₄ = 256
Thus;
Sum of first four terms is;
S₄ = 2 + 4 + 16 + 256
S₄ = 278
Read more about Arithmetic Sequence at; https://brainly.com/question/6561461
#SPJ2
Answer:
a1=2 an-(an-1)2 = 256
Step-by-step explanation:
In order to describe the velocity of an object, which three pieces of data are needed?
� The mass of the object in grams � The speed at which the object traveled � The pull of gravity on the object
� The distance traveled by the object � The time taken to travel � The direction of travel
� The mass of the object in grams � The time taken to travel � The acceleration of the object object
� The distance traveled by the object � The force the object had on another object � The mass of the object in grams
PLZZZ HURRY !! MARK BRAINLIST
Answer:
The distance traveled by the object � The time taken to travel � The direction of travel
Step-by-step explanation:
Answer:
It's B The distance traveled by the object � The time taken to travel � The direction of travel
Is a -2/3 a integer?Is it also a rational number?
Please help ima bout to get a whooping if my mom still see's I got a c
Answer:
What do you need help with?
Step-by-step explanation:
30 PTS
Is 2.6 < -6.2 explain
Answer:
No
Step-by-step explanation:
2.6> -6.2
2.6 is more positive
Answer:
no
Step-by-step explanation:
the 6.2 is negative so it's below zero therefore this is false
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLS SHOW THE WORK!!!!!!!!
Answer:
x= -1/3
y= -3 1/3
Step-by-step explanation:
Make both of them into y=Mx+b form
y=-x-3
y=(-x-7)/2
Substitute the x-3 in the first equation for the y in the second one.
x-3=(-x-7)/2
2x-6=-x-7
3x=-1
x=-1/3
Now that we have x, we can solve for y.
y=-x-3
y=-1/3-3
y=-3 1/3
Answer: x=6
Step-by-step explanation:
Estimate the area of a rectangle with length 5/8 foot and a width of 4/9 foot.
Hello there!
Area = Length * Width
Area = [tex]\frac{5}{8} * \frac{4}{9}[/tex]
Area = [tex]\frac{5}{18}[/tex]
Thanks!
~Garebear
PLEASE ANSWER FOR BRAINLIEST!!!!!!!!!
You are choosing between two health clubs. Club A offers membership for a fee of $18 plus a monthly fee of $14. Club B offers membership for a fee of $21 plus a monthly fee of $13. After how many months will the total cost of each health club be the same? What will be the total cost for each club?
In __ months the total cost of each health club will be the same.
The total cost for each health club will be $__.
Answer:
In 3 months the total cost of each health club will be the same.
The total cost for each health club will be $_60_.
Step-by-step explanation:
Graph a line that contains the point (-6, 1) and has a slope of 5?
What is the b term of the product of (x – 4) and (2x + 3) ?
Answer:
the "b" term is the term "-5 x" in the final quadratic expression
Step-by-step explanation:
Normally the "b" is the "linear term" in a quadratic equation.
So, perform the product of binomials and combine like terms to identify the final "b" term of the quadratic expression you get:
[tex](x-4)*(2x+3)=2x^2 +3x-8x-12=2x^2-5x-12[/tex]
Therefore the "b" term is the term "-5 x" in the final quadratic expression.
Please answer fast! I have only like 15 minutes. :(
Answer:
A is the correct answer. hope this helps you
Four times the difference of a number cubed and six
Step-by-step explanation:
4(n^3 - 6)
hope this helps
0.4y − 0.2y + 10 = 11.8
Answer:
0.2y+10
Step-by-step explanation:
Answer:
We have this equation:
0.4y - 0.2y + 10 = 11.8
You can simplify
0.2y + 10 = 11.8
Then, you can substract 10 in both sides:
0.2y = 11.8 - 10
0.2y = 1.8
You can now divide right and left side by 0.2 and get y:
0.2y/0.2 = 1.8/0.2
y = 14
The length of a rectangular rug is 4 less than twice its width. The perimeter of the rug is 40 feet. What is the area of the rug?
1) 96 sq ft
2) 56 sq ft
3) 104 sq ft
4) 86 sq ft
Emma ran 4 1/2 miles. For 3/4 of her run,she ran uphill. How many miles did she run uphill?
A. 3 3/8 miles
B. 3 1/2 miles
C. 3 3/4 miles
D. 4 1/4 miles
Answer:
A
Step-by-step explanation:
Which option best describes the likelihood of Jennifer picking a green ball
Warren was drawing a shape on the grid below. He started at (3,0) and drew a line to (3,5), then to (5,3), then to (7,5) and finally a line to (7,0). What was made after all the points were connected?
Answer:
M
Step-by-step explanation:
M
i agree with the person who was first
Answer:
me tooooo!
Step-by-step explanation:
During flu season, 16% of the students were out with the flu. If there are 550 students in the school, how many of them were
but with the flu?
Answer:
The correct answer is 98.