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.
Buffy ate 10 hot dogs every 35 minutes. At that rate, how long, in minutes will it take to eat 6 hot dogs
Answer:
21 minutes
Step-by-step explanation:
35 ÷ 10 = 3.5
3.5 × 4 = 14
35 - 14 = 21
=21
nesesito ayuda con este problema
Answer:
Step-by-step explanation:
I KNOW SPEAK SPANISH GO TO A MEXICAN SITE NOT A AMERICAN SITE
In 2010 there were 2000 American lions in a conservation park in Wisconsin. The lion population is decreasing
by 8% every year. Which of the following functions models the lion population after x years?
Step-by-step explanation:
After each year, the new population of the lions is 100% - 8% = 92% of the population of the lions the year before.
Hence our exponential base should be 0.92, indicating exponential decay. (A)
Answer:
after each year the new population of the lions
is 100% - 8% is equals to 92% of the population of the lion year before
Hence our exponential base should be 0.92 (A)
1. 8.3 is equal to _____ tenths ______ hundredths
2. 28 is equal to ______ hundredths _______tenths.
Answer:
8.3 is equal to eight tenths 3 hundredths
28 is equal to 28 tenths.
All the pencils have the same width. How wide is each pencil? (the struggle is real lemme just say)
Answer:
2 centimeters wide? I-
Step-by-step explanation:
how can equations help you model the relationship between two quantities
Answer:
I dosent show anything that I should solve
Step-by-step explanation:
NEED HELP WITH GEOMETRY
Answer:
1. 37
2. 50
3. 50
4. 40
Step-by-step explanation:
hope I helped!!
A $65.00 coat is now on sale for $52.00. What percent discount is given.
65-52=13
13x100
65 = 20%
the discount is given 20%
Suppose that a is an angle with sin A = 3/7 and a is not in the second quadrant. Compute the exact value of 10 a. You do not have to rationalize the denominator. Please answer it
Answer:
The exact value of [tex]10\cdot a[/tex] is [tex]253.77^{\circ}[/tex].
Step-by-step explanation:
Sine function is a bounded function between -1 and 1 and positive in the first and second quadrants. From statement we deduct that [tex]a[/tex] is in the first quadrant, that is, [tex]0^{\circ}< A < 90^{\circ}[/tex]. Then, we determine the angle by inverse trigonometric function:
[tex]A = \sin^{-1} \frac{3}{7}[/tex]
[tex]A \approx 25.377^{\circ}[/tex]
Then, the exact value of [tex]10\cdot a[/tex] is [tex]253.77^{\circ}[/tex].
Diana had 41 stickers. She put them in 7 equal groups. She put as many as possible in each group. She gave the leftover stickers to her sister. How many stickers did Diana give to her sister?
Answer:
5 to each group and she gave 6 stickers to he sister
My cousin needs help on these questions
Answer:
Number 7.) triangle
Number 8.) Cylinder
Number 3.) Rectangle
Step-by-step explanation:
$250 gaming system is discounted by 25%. It was then discounted another 10% because the box was opened
by a customer.
Answer:
i think you want to know what is the total it is 87.5
Step-by-step explanation:
Answer:
You pay $168.75
You save $81.25
Step-by-step explanation:
First you find the 25% off
25% of 250 is 187.50
That is 62.50 saved
Now subtract 187.50 by 10%
10% of 187.50 is 168.75
That is 18.75 saved
Trophies for Gunther’s soccer team will cost $6.25 each, plus 15 cents for every word on the engraving. Which equation could be used to find the cost, c, of each trophy based on the number of words, w , on the engraving?
Select one:
c=6.25+0.15w
c=6.25−0.15w
c=6.25+15w
c=15+6.25w
Answer: c=6.25+0.15w
Step-by-step explanation:
1. Circle the figure you would use to make the Escher‐like tessellation given.
Answer:
b ? i have never seen anything like this though so please dont take my word
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
x = 6y – 14
-X + 9y = 17
after substitution :
-6y + 14+ 9y = 17
= 14 + 3y = 17
by subtracting 14 :
3y = 3
by dividing over 3 :
y = 1
after substitution:
x = 6 * 1 - 14 = 6 - 14 = -8
x = -8
-7r2 + 7r + 2 = 2
Find Discriminant
Answer:
r = 1 , 0
Step-by-step explanation:
-7[tex]r^{2}[/tex] + 7r + 2 = 2
-7r(r-1)=2-2
-7r(r-1)=0
r-1=0
r=1
Does the equation represent a function? * (WILL GIVE BRAINLIEST IF RIGHT)
y = x^2 + 36
Yes this is a function because for any input value (x) you will get a unique output value (y).
what is the area of the triangle?
Answer:
32
Step-by-step explanation:
The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.
use long division to rewrite the expression in an equivalent form as q(x) + r(x)/b(x) , where q(x) is the quotient, r(x) is the x^3 - 2x^2 - 4/ (x-3)
Answer:
that looks hard good luck
Answer:
x^2 + x + 3 + 5/(x - 3)
Step-by-step explanation:
x - 3) x^3 - 2x^2 + 0x - 4( x^2 + x + 3
x^3 - 3x^2
x^2 + 0x
x^2 - 3x
3x - 4
3x - 9
5
So the answer is x^2 + x + 3 + 5/(x - 3)
You flip 15 fair coins once. What is the probability of getting at least 12 heads?
Answer:
0.017578 or 1.76%
Step-by-step explanation:
The probability of getting at least 12 heads is 0.01757.
What is Binomial Distribution?In a binomial probability distribution, the number of "Successes" in a series of n experiments is represented as either success/yes/true/one (probability p) or failure/no/false/zero (probability q = 1- p), depending on the outcome's boolean value.
Given a coin is tossed 15 times,
to find the probability of getting 12 heads,
P(X ≥ 12) Probability of at least 12 successes
At least 12 successes include X-values of
X=12, 13, 14, 15
To solve this problem, find the sum of the binomial probabilities for each of the values of X, or if there is only one value of X, find the probability of P(X). In this problem,
P(12) + P(13) + P(14) + P(15)
P(X ≥ 12) = P(12) + P(13) + P(14) + P(15)
p(x) = ⁿCₓpˣqⁿ⁻ˣ
n = 15
P(X ≥ 12) = P(12) + P(13) + P(14) + P(15)
P(X ≥ 12) = ¹⁵C₁₂(0.5)¹²(0.5)¹⁵⁻¹² + ¹⁵C₁₃(0.5)¹²(0.5)¹⁵⁻¹³ + ¹⁵C₁₄(0.5)¹²(0.5)¹⁵⁻¹⁴
+ ¹⁵C₁₅(0.5)¹²(0.5)¹⁵⁻¹⁵
P(X ≥ 12) = 0.01388 + 0.00320 + 0.00045 + .0000030
P(X ≥ 12) = 0.01757
Hence probability is 0.01757.
Learn more about Binomial Distribution;
https://brainly.com/question/14565246
#SPJ6
What is 6 to 8 and 18 to X
Answer:
The answer is 24
Step-by-step explanation:
STEP 1:
[tex]6x = 18 \times 8[/tex]
18 * 8 = 144
So, 6x=144
STEP 2:
Divide both sides by 6:
[tex] \frac{6x}{6} = \frac{144}{6} [/tex]
Then, you get 24
So, your answer is 24.
Determine whether the ratios 1:1 and 6:6 are equivalent
Answer:
its is because if you divide 6:6 by 6 it equals 1:1
Step-by-step explanation:
plz brainliest i need it to rank up
Answer:
They are equivalent
Step-by-step explanation:
1:1 is the same as 6:6 because 6:6 is technically 1:1 when you divide both sides by 6.
Of the 80 students in the student body, 60 voted for the winning candidate. What percent voted for the winning candidate
Answer:
20 studenti fac laba on a romania
Answer:75%
Step-by-step explanation:
Total no. of students= 80
No. of students who voted the winning candidate=60
% of students that voted for the winning team=60/80 x 100%
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
URGENT SOMEONE PLEASE HELP!!
Answer:
45°
Step-by-step explanation:
abcdefghijklmnopqrstuvwxyz
Answer:
1: 90 degrees
2: 45 degrees
3: 8
Step-by-step explanation:
This is the only reasonable answer
Kylie has a bag that contains orange chews, apple chews, and lime chews. She performs an experiment. Kylie randomly removes a chew from the bag, records the result, and returns the chew to the bag. Kylie performs the experiment 46 times. The results are shown below:
A orange chew was selected 5 times.
A apple chew was selected 23 times.
A lime chew was selected 18 times.
Based on these results, express the probability that the next chew Kylie removes from the bag will be a flavor other than lime as a decimal to the nearest hundredth.
Answer:
The probability is 0.609
Step-by-step explanation:
Out of 46 times that the experiment was performed:
A orange chew was selected 5 times.
A apple chew was selected 23 times.
A lime chew was selected 18 times.
We can find the relative frequency of each one of them as the quotient between the number of times that a particular chew was selected, and the total number of chews.
Then for the orange ones we have a relative frequency (that can be thought as the probability) of:
Po = 5/46
For apple we get:
Pa = 23/46
For Lime we get:
Pl = 18/46
We want to find the probability that the next chew Kylie removes from the bag will be a flavor other than lime (so this is equal to the probability of getting orange plus the probability of getting apple):
P = Po + Pa = 5/46 + 23/46 = 0.609
Answer:
0.61
Step-by-step explanation:
Kylie has a bag that contains orange chews, apple chews, and lime chews. She performs an experiment. Kylie randomly removes a chew from the bag, records the result, and returns the chew to the bag. Kylie performs the experiment 46 times. The results are shown below:
A orange chew was selected 5 times.
A apple chew was selected 23 times.
A lime chew was selected 18 times.
Based on these results, express the probability that the next chew Kylie removes from the bag will be a flavor other than lime as a decimal to the nearest hundredth.
The experiment occured 46 times, a flavor other than lime was selected 5+23=28 times.
Probability the next chew will be a flavor other than lime:
\frac{\color{steelblue}{28}}{\color{indianred}{46}}=
46
28
=
\,\,0.608695...
0.608695...
\approx
≈
\,\,0.61
0.61
HELP NOW PLEASSEE ! Find the mean absolute deviation
Find 142.1% of 469.6. Round to the nearest thousandth.
Answer:
667.302???
Step-by-step explanation:
I tried my best but I don't know if it's right though
What absolute value represents a number greater than |0.37|
A: |-0.38|
B: |-0.35|
C: |-0.37|
D: |-0.39|
No wrong answers!
What is the value of the constant in the equation that relates the height and
width of this rectangle?
(10,25)
Answer:
B
Step-by-step explanation:
25/10=2.5
Answer:
2.5
Step-by-step explanation: