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.
Drag the cards to create a number that matches these rules. • The number ends in the tenths place. 50 is the nearest ten when rounding 3. 8 4
Which statements are true about the graph shown below. There are more than one answer.
Answer:
cant see the choices what the graph is a function
Step-by-step explanation:
Find: 1. three quartiles and 2. interquartile range (IQR).
1, 3, 9, 12, 12, 14, 18
The position of Q1 is the 2th number. Q1 is 3.
The position of Q2 is the 4th number. Q1 is 12.
The position of Q3 is the 6th number. Q1 is 14.
IQR is 11.
What are the required values?The first quartile, second quartile and the interquartile range are used to measure the variation of data. Median is a measure of central tendency. Median is the number at the center of the dataset.
Q1 = 1/4 x (n + 1)
1/4 x 8 = 2nd number = 3
Q2 = 1/2 x (n + 1)
1/2 x 8 = 4th number = 12
Q3 = 3/4 x (n + 1)
3/4 x 8 = 6th number = 14
IQR = Q3 - Q1
14 - 3 = 11
learn more about median, please check: https://brainly.com/question/20434777
#SPJ2
help my answer question 2 quick its an emergency
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Please help me with this question above
Answer:
top to bottom
Step-by-step explanation:
As Sally and George practice for the SAT their scores on practice test rise Sally’s current score is 850 and it is rising by 10 points per week on the other hand George’s current score is 570 and is growing by 50 points per week
a)
when will Georgia score catch up to Sally’s?
B) if the SAT test is in 12 weeks who will score the highest?
Please show all work !!
Answer:
a) 7 weeks b) George's
Step-by-step explanation:
Sally's score can be modeled by 10x+850.
George's score can be modeled by 50x+570.
We can set them equal to each other to see when they intersect.
10x+850=50x+570
40x=280
x=7
If George overtakes her in the 7th week, of course he'll have the higher score in 12 weeks.
The solution are, a) 7 weeks
b) George's
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
Sally's score can be modeled by 10x+850.
George's score can be modeled by 50x+570.
We can set them equal to each other to see when they intersect.
10x+850=50x+570
40x=280
x=7
If George overtakes her in the 7th week, of course he'll have the higher score in 12 weeks.
To learn more on equation click:
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Find the solution to the equation. URGENT
Answer:
x + 6 + x + 6 + x + 6 + x + 6 + x + 6 x + 6 + x + 6 + x + 6 = 120
aka 8(6 + x) = 120
48 + 8x = 120
you want to get 8x on one side so you will subtract 48 on both sides - whatever you do to obe side you must do on the other side.
8x = 72
now you want the x by its self so to undo multiplication you need to divide, and divide on both sides.
x = 9
Solution: x = 9
Your parents traveled 300 miles and used 15 gallons of gas. How many miles can your parents
run on 1 gallon of gas? *
300 miles
200 miles
40 miles
20 mies
Step-by-step explanation:
20 miles.
what you need to do to find out is:-
just divide them
300÷15
have a good day :)
Benjamin went shopping for a new video game. The listed price of the video game
was $34, but the price with tax came to $37.40. Find the percent sales tax.
Answer:10%
Step-by-step explanation:
round 576.071 to the nearest tenths
Which fraction represents the shaded part of the grid?
Answer:
where the heck is the pic?
Step-by-step explanation:
points showing equivalent relics on the coordinate planeten
Ty
18
15
12
9
3
1 2 3 581 8 9 10 11 12 %
Which ordered pair would represent a ratio that is equivalent to those shown?
O 16, 12)
(9,6)
(8, 12)
O (12,8)
Answer:
Answer: (8,12) Third option
Step-by-step explanation:
Equivalent Ratios
Nardia plotted some points showing equivalent ratios. The points shown in the graph are: (2,3), (4,6), (10,15)
The ratios of the points in the form y:x are:
[tex]\frac{3}{2}[/tex]
[tex]\frac{6}{4}=\frac{3}{2}[/tex]
[tex]\frac{15}{10}=\frac{3}{2}[/tex]
Note all the ratios are equivalent.
From the ordered pairs provided in the choices, only one of them has the same ratio y:x.
Point (12,8) has a ratio:
[tex]\frac{12}{8}=\frac{3}{2}[/tex]
Answer: (8,12) Third option
What % of $10 = $2??????
Answer:
20% of 10= 2 is the answer
hope this helps!
Find the measure of
answer fast pls! <3
+10pts
Answer:
∠A = 88°
Step-by-step explanation:
= 180° - (50° + 38°)
= 180° - 88°
= 92°
∠A + 92° = 180°
∠A = 180° - 92°
∠A = 88°
Question 2 (Essay Worth 3 points)
A circular picture is 8 inches in diameter.
Part A
What is the area of the picture in square inches?
A. 411 square inches
B. 8rt square inches
C. 161 square inches
D. 321 square inches
Part B
A frame that is 2 inches wide surrounds the picture. What is the total area of the picture and the frame in square inches?
A. 41 square inches
B. 120 square inches
C. 361 square inches
D. 40 square inches
ill give branilest
help plz hw assignemnt
Answer:
I think its 100.
Step-by-step explanation:
How are you doing?
A sample of assistant professors on the business faculty at state supported institutions in Ohio revealed the mean income to be $32,000 for 9 months with a standard deviation of $3,000. Using Chebyshev's Theorem, what is the proportion of faculty that earns more than $25,250 but less than $38,750
Answer:
The proportion of faculty that earns more than $25,250 but less than $38,750 is 0.8025.
Step-by-step explanation:
Chebyshev Theorem
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
In this question, we have that:
Mean of 32000, Standard deviation of 3000.
Using Chebyshev's Theorem, what is the proportion of faculty that earns more than $25,250 but less than $38,750
This is within 38,750 - 32,000 = 32,000 - 25,250 = $6,750 of the mean.
Value of k:
This is k standard deviations from the mean. k is given by:
[tex]k = \frac{6750}{3000} = 2.25[/tex]
Proportion:
The percentage is:
[tex]p = 100(1 - \frac{1}{(2.25)^{2}}) = 80.25[/tex].
So the proportion is 0.8025
a - (9b - 13b) =
a = 12, b = -2
I'm- sorry
Answer:
4
Step-by-step explanation:
can someone complete it all
Answer:
Here it is
Step-by-step explanation:
#1. 3:4
#2. 3 to 4
#3. 3/4
Please help! Find the value of X. Round to the nearest tenth. acellus
9514 1404 393
Answer:
38.2°
Step-by-step explanation:
The law of sines tells you ...
sin(x)/15 = sin(27°)/11
sin(x) = (15/11)sin(27°) . . . . . multiply by 15
x = arcsin((15/11)sin(27°)) ≈ arcsin(0.619078) ≈ 38.2488°
x ≈ 38.2°
_____
Additional comment
In "law of sines" problems, you need to identify a side and opposite angle that you know both values of. Then, you need to identify whether you're looking for an angle or a side, and whether its opposite side or angle is known. If two angles are known, you can always figure the third from the sum of angles in a triangle.
Here, we have angle 27° opposite side 11. We are looking for an angle, and we know its opposite side. This lets us use the ratio formula directly. Since the angle is the unknown, it is useful to write the equation with sines on top and sides on the bottom.
The given angle is opposite the shorter of the given sides, so this triangle has two solutions. We assume that we want the solution that is an acute angle (141.8° is the other solution). That assumption is based on the drawing. Usually, you're cautioned not to take the drawings at face value.
What is 33/88 in simplest form?
Answer:
3/8
divide both by 11
you get 3/8
How long a ladder must you have to reach the top of a 15-foot wall if the bottom of the ladder is placed 4 feet from the base of the wall? Round to the nearest tenth of a foot.
14.5 ft
15.5 ft
17.0 ft
19.0 ft
Answer:
15.5
Step-by-step explanation:
on edguenity
Answer:
15.5
Step-by-step explanation:
trust
Catherine has an unpaid balance on her credit card of $345.38. She has new charges of $195.65 this month and her monthly interest rate on the unpaid balance is 1.75%. What is the total balance on her monthly bill (to the nearest whole cent)?
$561.90
$555.55
$550.50
$570.08
None of these choices are correct.
Answer:
345.38+195.65+((345.38×(0.0175÷12))
=541.53
pls helpp mee!!!!! pleaseee
Answer:
it is 5 inches squared
Step-by-step explanation:
1 inches. sjwjqkqkwjhed
i need help asap due tonight
Answer:
4
Step-by-step explanation:
multiply 10 by w and 3
equation becomes 10w+30=70
subtract 30 by both sides
equation becomes 10w=40
divide both sides by 10
equation becomes w=4
your answer is 4!
Jason wants to earn money by raking leaves. He buys a rake that costs $30.00. He plans to charge $8.00 for each lawn that he rakes Calculate the amount of profit Jason
will make if he rakes 15 lawns
Answer:
He will make 90 dollars in profit.
Step-by-step explanation:
15 x 8 to find how much he makes. He makes 120 dollars. But we have to count the 30 dollars less he spent by subtracting 120 - 30. You get 90 dollars.
Hope it helps!
Answer:
120 dollars
Step-by-step explanation:
30 dollars times 15 lawns equal 120$
Need some help with this..
Step-by-step explanation:
1. 22+5x+3=90
2.3+5x+82=180
3. 89=6x+5
4. 4x+3= 43
you can solve them luv
Help and you get candy :3
Georgia is making necklaces. Each necklace has 3 blue beads and 5 red beads. How many red beads will she need to make 8 necklaces?
A. 25 red beads
B. 30 red beads
C. 35 red beads
D. 40 red beads
Answer:
40
Step-by-step explanation:
5 x 8 = 40
Given f(x) = x^2 + x + 1 and given g(x) = x^2 - 9, find (f+g)(x).
========================================
Work Shown:
(f + g)(x) = f(x) + g(x)
(f + g)(x) = x^2+x+1 + g(x) ............... plug in f(x) = x^2+x+1
(f + g)(x) = x^2+x+1 + x^2-9 ........... plug in g(x) = x^2-9
(f + g)(x) = (x^2+x^2)+x+(1-9)
(f + g)(x) = 2x^2+x-8
Find the missing angle measure in the triangle below.
