Answer:
The student's score closest to 91 percentile.
Step-by-step explanation:
Since the scores on the standardized test are approximately normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = test scores.
µ = mean score
σ = standard deviation
From the information given,
µ = 480
σ = 90
If a student has a score of 600, then x = 600
For x = 600,
z = (600 - 480)/90 = 1.33
Looking at the normal distribution table, the probability corresponding to the z score is 0.91
the student's score closest to 91 percentile.
The graph of the scores has normal distribution and percentile would a student be in if they earned an A on the test is 97.72%
What is Normal Distribution?An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the centre of the range.
Normal distributions are symmetric, uni-modal, and asymptotic, and the mean, median, and mode are all equal
A data set (when graphed) must follow a bell-shaped symmetrical curve centered around the mean
Given data ,
To determine the percentile a student would be in if they earned an A (a score ≥ 90) on the physics test, we need to calculate the z-score corresponding to the score of 90 and then find the percentile associated with that z-score.
The z-score is a measure of how many standard deviations a particular value is away from the mean in a normal distribution
z = (x - μ) / σ
where x is the value, μ is the mean, and σ is the standard deviation
In this case, we have:
x = 90 (the score for an A)
μ = 70 (the mean)
σ = 10 (the standard deviation)
Plugging these values into the z-score formula
z = (90 - 70) / 10 = 20 / 10 = 2
The z-score of 2 indicates that the score of 90 is 2 standard deviations above the mean in a normal distribution
The percentile associated with a z-score of 2 is approximately 97.72%
Hence , if a student earned a score of 90 or above on the physics test, they would be in the 97.72th percentile
To learn more about normal distribution click :
https://brainly.com/question/17199694
#SPJ2
I need help because i hate math and dont understand any of htis
Answer:
x = 145 degrees
Step-by-step explanation:
In leftmost triangle, missing angle :
= 180 - (90 + 35)
= 55 degrees
Top angle of middle triangle :
= 180 - (60 + 55)
= 180 - 115
= 65 degrees
Bottom angle of middle triangle :
= 180 - (90 + 65)
= 25 degrees
Linear pair
= 180 - 25
=> x = 145 degrees
HELPPPPPP PLEASE!!!
Answer:
6/h = 10/40
Step-by-step explanation:
Answer:
6/h = 10/40
Step-by-step explanation:
b x h = w
10=b
6=h
so its 6/h and 10/40
i think
How can you know if this equation is true? 12+38=410=25 1 2 + 3 8 = 4 10 = 2 5 CLEAR CHECK Because 1+3=4 1 + 3 = 4 and 2+8=10 2 + 8 = 10 , this equation must be true. Because 25<12 2 5 < 1 2 , this equation can not be true. This equation must be true, because when you add fractions the sum is always less than 12 1 2 . Because 38<12 3 8 < 1 2 , this equation must be true.
Given:
The equation is
[tex]\dfrac{1}{2}+\dfrac{3}{8}=\dfrac{4}{10}=\dfrac{2}{5}[/tex]
To find:
Whether the given equation is true or not.
Solution:
In addition of two fractions, we can not add numerator and denominator separately. First we need a common denominator, then we add numerators.
We have,
[tex]\dfrac{1}{2}+\dfrac{3}{8}[/tex]
Taking LCM, we get
[tex]\dfrac{1}{2}+\dfrac{3}{8}=\dfrac{1\times 4+3}{8}[/tex]
[tex]\dfrac{1}{2}+\dfrac{3}{8}=\dfrac{4+3}{8}[/tex]
[tex]\dfrac{1}{2}+\dfrac{3}{8}=\dfrac{7}{8}\neq \dfrac{4}{10}[/tex]
So, the given equation is not true.
Therefore, the correct option is B.
The number of students in chorus increased 25 percent this year. If there are 20 more students in chorus this year than there were last year, how many students are in chorus this year
Answer:
100
Step-by-step explanation:
if 25% is 20, 20*4=80
80+20=100
, when substituted for the variable, makes the equation 5 x − 3 = 7 true?
Answer:
x should equal 2
Step-by-step explanation:
5x2=10
10-3=7
Simplify this equation please
Answer:
[tex]\boxed{2\cos^2\theta}[/tex]
Step-by-step explanation:
[tex]\cot^2\theta \sin^2\theta+\cos^2\theta[/tex]
[tex]\dfrac{1}{\tan^2 \theta} \sin^2\theta+\cos^2\theta[/tex]
[tex]\dfrac{1}{\dfrac{\sin^2\theta}{\cos^2\theta} } \sin^2\theta+\cos^2\theta[/tex]
[tex]\dfrac{\cos^2\theta}{\sin^2\theta } \sin^2\theta+\cos^2\theta[/tex]
[tex]\cos^2\theta+\cos^2\theta[/tex]
[tex]2\cos^2\theta[/tex]
Find the circumference and area of the circle. Use 3.14 for A. Round to the nearest hundredth if necessary.
12 m
.
The circumference of the circle is about
m.
The area of the circle is about
m?
Answer:
area= 452.39
circumference= 75.40
Step-by-step explanation:
circumference is equal to 2 * pi * r
area is equal to pi * r^2
circumference = 2 * pi * 12 = 75.40
area = pi * 12^2 = 452.39
hope this helps!
-t/4=-3 solve the equation. Check your solution
Answer:
see below
Step-by-step explanation:
-t/4=-3
Multiply each side by -4
-t/4 *-4=-3*-4
t = 12
Check
-12/4 = -3
-3 = -3
Consider the enlargement of the triangle and use the measurements to calculate the scale factor. 2 triangles have corresponding side lengths of 8 centimeters and 64 centimeters. Scale factor =.
The scale factor is the ratio of the second triangle length to the first triangle length. Then the scale factor is 8.
What is dilation?Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.
Two triangles have corresponding side lengths of 8 centimeters and 64 centimeters.
Then the scale factor will be
[tex]\rm Scale \ factor = \dfrac{Side \ of \ second \ triangle }{Side \ of \ first \ triangle } \\\\\\Scale \ factor = \dfrac{64}{8}\\\\\\Scale \ factor = 8[/tex]
The scale factor is 8.
More about the dilation link is given below.
https://brainly.com/question/2856466
Answer:
The answer is 8:)
Step-by-step explanation:
Ra=5q-ma solve for a
Answer:
a = 5q/(r + m)
Step-by-step explanation:
ra = 5q - ma
ra + ma = 5q
a(r + m) = 5q
a = 5q/(r + m)
Please mark me the brainliest!?!
Determine the solution set of x(squared) + 9x + 20 = 0 by factoring.
Answer:
[tex]x=-4,\:x=-5[/tex]
Step-by-step explanation:
[tex]x^2+9x+20=0\\\\\mathrm{Solve\:by\:factoring}\\\\\mathrm{Factor\:}x^2+9x+20:\quad \left(x+4\right)\left(x+5\right)\\\\\left(x+4\right)\left(x+5\right)=0\\\\Using\:the\:Zero\:Factor\:Principle:\\\quad\:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)\\\\\mathrm{Solve\:}\:x+4=0:\quad x=-4\\\\\mathrm{Solve\:}\:x+5=0:\quad x=-5\\\\x=-4,\:x=-5[/tex]
Answer:
Factored form: (x+4)(x+5) = 0
x = -5 or -4
Step-by-step explanation:
To factor x^2 + 9x + 20, we need to find 2 numbers that multiply to 20 and add up to 9.
The reason for that is because when you multiply (x+a)(x+b) using FOIL, you will get x^2 + ax + bx + ab.
Anyway, 4 and 5 would satisfy this, because 4+5 = 9 and 4*5 = 20. We can then factor the equation to (x+4)(x+5).
To solve (x+4)(x+5) = 0, we need to make either x+4 = 0 or x+5 = 0. That means x can be either -5 or -4.
If a function is defined by the equation y=12x−32, which equation defines the inverse of this function?
A. y=2x+3
B. y=2x+32
C. y=2x−3
D. y=2x−32
Answer:
A. Y=2x+3
Step-by-step explanation:
because im right
If a function is defined by the equation y = 2x−32, the equation that defines the inverse of this function would be: B. y=2x+32
How to determine the inverseTo determine the inverse of the function, we would first replace x with y in the function:
y = 2x - 32
x = 2y - 32
x + 32 = 2y
Divide both sides by 2
x/2 + 32/2 = y
f−1(x) = x/2 + 32/2
The common facot between the denominatoes of the values is 2. So, when expanded, we have;
(x + 32)/2
So, the closest option that represents the inverse is B. y=2x+32.
Learn more about inverses here:
https://brainly.com/question/3831584
#SPJ2
What is the correct answer I need help
Answer:
A
Step-by-step explanation:
do the exponents. (5 times 5)
then multiply 2 x 25
Answer:
the answer is A. 2 * 5^2
Step-by-step explanation:
Because 5^2 really means 5 * 5 which is 25 * 2 is 50
Hope this helps
Hannah competes
in a 10 km run.
She completes
the race in
2 hours.
What was her
average speed?
Answer:
5 km/h
Step-by-step explanation:
Speed is the ratio of distance to time. Hannah's speed is ...
s = d/t
s = (10 km)/(2 h) = 5 km/h
Her average speed was 5 km per hour.
I need help fast. Its 8th grade math, multiple choice question. (I added photos)
Answer:
C (5.1 + 2y + 1.2 = -2 + 2y + 8.3)
2.61 is 5.8% of what number?
Answer:
45.
Divide 48 by 100 (48/100*)
Then, multiply by the given percentage, 5.8%
→ The formula to find percentage is to divide the found number by 100 and then multiply by the closest given number.
Therefore,the [tex]2.61[/tex] is the [tex]5.8[/tex] % of the number [tex]45.[/tex]
What is the percentage?
A percentage is a number or ratio expressed as a fraction of [tex]100[/tex]. It is often denoted using the percent sign, "%".
As per the given information
Let the number is [tex]x[/tex].
[tex]\frac{2.61}{x}=\frac{5.8}{100}\\\\\\2.61(100)=5.8(x)\\\\\\261=5.8x\\\\\\x=\frac{261}{5.8}\\\\\\x=45[/tex]
Hence, the [tex]2.61[/tex] is the [tex]5.8[/tex] % of the number [tex]45.[/tex]
To know more about the percentage
https://brainly.com/question/13244100
#SPJ2
The equation of the regression line is written below, where y represents the predicted change in sea level and t represents the years since 1993 .
y = 0 + 3.2t
Identify the y -intercept of the regression line and explain what it represents in the context of the data.
Answer: im guessing 68.50 kg (y = –133.18 + 115.91 × 1.74 m).
Step-by-step explanation:
question 6 Which set of coordinates does NOT represent a function?
Answer:
The first one
Step-by-step explanation:
You can't repeat coords on the x or y coordinate, meaning that the one to the left is wrong because it is the only one that repeats
Answer:
First table
Step-by-step explanation:
How do you figure out if a relation is a function? You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain(x) is matched with exactly one element in the range(y). If so, you have a function!
Let's try it on the first table; Lucky us! we found it! the value 1 and 2 repeat more than once connecting with with two DIFFERENT y values!
PLEASE HELP ME!
How much tax is owed or how much refund is expected? Tax due $ 1374 and tax withheld $678.
A. refund $696
B. refund $678
C. tax owed $696
D. tax owed $5678
Answer:
The answer is C
Step-by-step explanation:
A larger number is five more than twice a smaller number. Their sum is 80. Find the numbers.
Answer:25 and 55
Step-by-step explanation:
if you double 25 you get 50 add five and you get 55.
55+25=80
Can anyone please help me with this?
Answer:
7.2
Step-by-step explanation:
Are y'all mad or happy about the time change in some places
Answer:
Not happy with it! :)
Step-by-step explanation:
I dont get the point. its a pain to change the time on the clock and i hate getting up early!! Not a early lol
Have an amazing day!!
PLEASE RATE!
Joel throws a six-sided dice and a six-sided dice at the same time and multiplies the scores.
The sample space diagram below shows all the possible outcomes.
1 2 3 4 5 6
1 1 2 3 4 5 6
2 2 4 6 8 10 12
3 3 6 9 12 15 18
4 4 8 12 16 20 24
5 5 10 15 20 25 30
6 6 12 18 24 30 36
Find the probability that Joel gets a number equal to 20.
Answer:
abc def ghi jkl mno pqr Stu vwx yz
Elaine is in London for one day only. She only has time to see two shows of the three shows she likes. The shows are Hamilton, Aladdin and Thriller. She makes her choice of the two shows at random. What is the probability that she sees Aladdin and Thriller?
Answer:
[tex]\frac 13[/tex]
Step-by-step explanation:
All three shows she likes are Hamilton, Aladdin, and Thriller.
But she can watch only two shows among the three shown.
The possible combination of the shows she can watch are
(Hamilton and Aladdin), (Aladdin and Thriller) and (Hamilton and Thriller).
So, the total number of possible events (available options)= 3.
As we have to determine the probability of watching Aladdin and Thriller, so here Aladdin and Thriller is the favorable event.
So, the number of favorable event=1
Now,
[tex]\text{Probability}=\frac{\text{Total number of possible events}}{\text{Total number of favorable events}}[/tex]
[tex]=\frac{1}{3}[/tex]
Hence, the probability that she sees Aladdin and Thriller is [tex]\frac 1 3[/tex].
A person invests 4500 dollars in a bank. The bank pays 5.75% interest compounded semi-annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 10000 dollars?
Answer:
Around 10.6 years
Step-by-step explanation:
5.75% of 4500 is 258.75
then we will need to subtract the current amount from the final amount.
10000-4500=5500
next
5500/258.75=21.256
finally
21.256/2=10.628
The person leaves the money in the bank until it reaches 10000 dollars.
We have given that
A person invests 4500 dollars in a bank.
The bank pays 5.75% interest compounded semi-annually.
Therefore we have,
What is compounded semi-annually?The principal of a loan or investment at the beginning of the compounding period, in this case, every six months, includes the total interest from each previous period
5.75% of 4500 is 258.75
[tex]=\frac{5.75}{100}\times 4500\\ =258.75[/tex]
Then we will need to subtract the current amount from the final amount.
10000-4500=5500
5500/258.75=21.256
21.256/2=10.628
The person leaves the money in the bank until it reaches 10000 dollars.
To learn more about interest compounded semi-annually visit:
https://brainly.com/question/26875083
An object is rotated 180 deg about a center, C, if and only if the two lines intersecting at C that are used for the rotation form a ___ angle.
Answer:
180°
Step-by-step explanation:
The given information are;
The of the object = 180°
Therefore, a line drawn though the a point on the preimage passing through the center of rotation
A second line is drawn from the center of rotation, towards the direction of the expected location of the image of the chosen point on the preimage which should in this case be 180° and the distance from the location of the point on the image to the given center of rotation should be the same as the distance of the point of the preimage from the given center of rotation.
Answer:90
Step-by-step explanation:
did it
Xavier bought 6 oranges from a
6
store. If he paid $1.74, how much did
each orange cost?
$[?]
Enter
Answer:
$0.29
Step-by-step explanation:
1.74 divided by 6
Name two quadrilaterals that have four right angles.
Answer: Rectangle and square
Step-by-step explanation:
Whats a quadrilateral
Which graph shows a line with constant of proportionality of 3/2