The 82nd Percentile is 89.784
How to calculate percentile in statistics?The formula n = (P/100) x N, where P is the percentile, N is the number of values in a data collection (ordered from least to largest), and n is the ordinal rank of a particular value, can be used to determine percentiles. In order to comprehend exam scores and biometric measurements, percentiles are routinely utilized.
The values' percentiles as determined by the formula are displayed below.
Percentile Value 0th = 51.7 5th = 68.1 10th = 69.36 15th = 71.24 20th = 72.92 25th = 74.6 30th = 75.86 45th = 80.38 60th = 84.34 65th = 85.38 70th = 87.12 75th = 88.4 80th = 89.4 85th = 90.84 90th = 92.44 95th = 95.2 100th = 100.1
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Which term best describes the geometric figure? Points A and B are connected by a line.
The best that describes the geometric figure is a line segment.
A line segment is a part of a line that connects two points which are considered to be its endpoints.
If points A and B are connected by a series of points that extended infinitely in opposite direction, then AB is a line, so The best describes the geometric figure is a line segment.
If points A and B are connected by a series of points that extended infinitely in opposite direction, then AB is a line, so that the best describes the geometric figure is a line segment.
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100 POINTS What is a term in Polynomials?
Answer:
Terms of a Polynomial
So, each part of a polynomial in an equation is a term. For example, in a polynomial, say, 2x2 + 5 +4, the number of terms will be 3.
gina wilson quiz 4-3
Find the value of x such that the data set has the given mean.
100, 122, 107, 115, 107, x; mean 108
X=
(Type an integer or a decimal.)
Sh
The value of x is 108. If the mean of the data set 100, 122, 107, 115, 107, x is 108.
According to the given question.
We have a data set 100, 122, 105, 115, 107, x .
Also, the mean of the data set is 108.
As we know that, mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.
Therefore, the mean of the data set 100, 122, 105, 115, 107, x is given by
Mean = [100 + 122 + 107 + 115+ 107 + x]/6
⇒ 108 × 6 = (551 + x)
⇒ 648 = 551 + x
⇒ x = 648 - 551
⇒ x = 97
Hence,the value of x is 108. If the mean of the data set 100, 122, 107, 115, 107, x is 108.
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Please HELP ASAP!!!!
Solve negative a minus five eighths equals three fifths for a.
The solution of the expression for a is a = -1 9/40
How to solve the expression?The expression is given as:
negative a minus five eighths equals three fifths for a.
Rewrite the expression properly as:
-a - 5/8 = 3/5
Collect the like terms in the above expression
So, we have:
a = -5/8 - 3/5
Evaluate the like terms in the above expression
So, we have:
a = -1 9/40
Hence, the solution of the expression for a is a = -1 9/40
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#5 a. What is the five-number summary for the data 0, 2, 2, 4, 5, 5, 5, 5, 7, 11
b. When the minimum, 0, is removed from the data set, what is the five-number summary?
The five number summary for
(a) 0,2,2,4,5,5,5,5,7,11 is minimum=0 , median=5 ,maximum=11 ,Q₁=2 ,Q₃=5 .
(b) 2,2,4,5,5,5,5,7,11 is minimum=2 ,median=5 ,maximum=11 ,Q₁=3 ,Q₃=6 .
Median is defined as the center value of the data.
Part(a)
In the given question
the data is 0, 2, 2, 4, 5, 5, 5, 5, 7, 11
(i)the minimum of the data is 0
(ii) maximum of the data is 11.
(iii) median of the data is 5.
(iv)Q₁ = median of the lower half 0,2,2,4,5 is 2.
(v)Q₃ = median of the upper half 5,5,5,7,11 is 5.
Part (b)
after removing minimum 0 the data becomes 2,2,4,5,5,5,5,7,11
(i)the minimum of the data is 2
(ii) maximum of the data is 11.
(iii) median of the data is 5.
(iv)Q₁ = median of the lower half 2,2,4,5 is 3.
(v)Q₃ = median of the upper half 5,5,7,11 is 6.
Therefore , the five number summary for
(a) 0,2,2,4,5,5,5,5,7,11 is minimum=0 ,median=5 ,maximum=11 ,Q₁=2 ,Q₃=5 .
(b) 2,2,4,5,5,5,5,7,11 is minimum=2 ,median=5 ,maximum=11 ,Q₁=3 ,Q₃=6 .
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-x^2+x-3<0
Solve X pls
Answer: x < √3 - x
Step-by-step explanation:
-x^2+x-3<0
= x^2+x < 3
= x^2 < 3 - x
= x < √3 - x
The number of digits in the square root of 3686400 is ---------
[one word Q]
Answer:
4
Step-by-step explanation:
[tex]\sqrt{x} 368640 = 1920[/tex]
The number of digits in 1920 is 4
The number of digits in the square root of 3686400 is 4.
What is square root?In mathematics, the square root is a component that, when multiplied by itself, equals the original integer. For instance, the square roots of 9 are both 3 and -3.
The square root of 3686400 is,
√3686400 = ±1920
The number of digits in 1920 is 4.
Only four digits make up 4-digit integers; the first digit must be one or higher, and the other three can be any number between 0 and 9. Examples of four-digit numbers include 5693, 1023, and 9825.
Thus, the number of digits in the square root of 3686400 is 4.
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write the equation of a parabola that has the same shape as y=6x^2 but with the vertex (-1,7) write in the form a(x-b)^2+k
3. If a horizontal line has the equation f(x) = a and a
vertical line has the equation x = a, what is the point
of intersection? Explain why what you found is the
point of intersection.
Answer:
E
Step-by-step explanation:Step-by-step explanation:Step-by-step explanation:Step-by-step explanation:
Brad's father asked an engineer to survey the field behind their house. He wanted to plant some orange and
tangerine trees there. According to the survey, the field is 32 feet long and 6 yards wide. What is the perimeter
of the yard in feet?
the lcm of (1/√2) + (1/√2)
Answer: LCM would be [tex]\sqrt{2}[/tex]
Step-by-step explanation:
First we need to find number of which we need to find lcm
here we dont have any two number but operator (+) is present
so
first we need to solve this operation
=1/[tex]\sqrt{2}[/tex] + 1/[tex]\sqrt{2}[/tex]
=[tex]\sqrt{2}[/tex]
so lcm of [tex]\sqrt{2}[/tex] would be [tex]\sqrt{2}[/tex].
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Not sure how to go about this
Answer:
hoping the equation wasn't cut off. from what i see it started at 1/2.
-3
__
Work[tex]\left(4\right)^2=16\\=\frac{1}{2}\cdot \:16-2\left(4\right)-3\\=\frac{1}{2}\cdot \frac{16}{1}\\=\frac{1\cdot \:16}{2\cdot \:1}\\=\frac{16}{2}\\\frac{16}{2}=8\\=8-2\left(4\right)-3\\2\left(4\right)\\2\cdot \:4 = 8\\=8-8-3\\8-8=0\\0-3\\= -3[/tex]
__
Hope this helps!
A projectile is launched from ground level with an initial velocity of vo feet per second. Neglecting air resistance, its height in feet t seconds after launch is given by s=-16t² + vol.
Find the time(s) that the projectile will (a) reach a height of 208 ft and (b) return to the ground when vo is 64 feet per second.
a) The times that the projectile will reach a height of 20.8 ft are 3.643 seconds and 0.357 seconds, respectively.
b) The projectile will hit the ground 4 seconds later of its launch.
How to analyze the launch of a projectile
Herein we find a physical model known as projectile motion, which considers that the motion of the object is created solely by gravity and effects from Earth's rotation and air viscosity are neglected. The height of the projectile is represented by the following quadratic equation:
s = - 16 · t² + 64 · t
In the first part, we need to determine when the projectile will reach a height of 20.8 feet:
20.8 = - 16 · t² + 64 · t
16 · t² - 64 · t + 20.8 = 0
(t - 3.643) · (t - 0.357) = 0
The times that the projectile will reach a height of 20.8 ft are 3.643 seconds and 0.357 seconds, respectively.
And the time when the projectile hits the ground is found by solving on t in the following quadratic equation:
- 16 · t² + 64 · t = 0
- 16 · t · (t + 4) = 0
The projectile will hit the ground 4 seconds later of its launch.
RemarkIn the part (a) a dot symbol was omitted, correct part is: Find the time(s) that the projectile will (a) reach a height of 20.8 ft.
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Find a pattern for each sequence. Describe the pattern and use it to show the next two terms.
8. 1000, 100, 10, ...
9. 5, -5, 5, -5, ...
10. 34, 27, 20, 13, ...
11. 6, 24, 96, 384, ...
8. 1,1
9. 5,-5
10. 4, -3
11. 1536, 6144
The difference between any two consecutive integers in an arithmetic progression (AP) sequence of numbers is always the same amount. It also goes by the name Arithmetic Sequence. For instance, the natural number sequence 1, 2, 3, 4, 5, 6,... is an example of an arithmetic progression. It has a common difference of 1 between two succeeding terms (let's say 1 and 2). (2 -1). We can see that the common difference between two subsequent words will be equal to 2 in both the case of odd and even numbers.
8. 1000, 100, 10,
In this sequence, each term is getting divided by 10,
So, next two terms are, 1, 1
9. 5, -5, 5, -5, ..
In this sequence, each term is alternating with a minus sign,
So, next two terms are 5, -5
10. 34, 27, 20, 13, ...
In this sequence, each term is i getting substracted by 7,
So, next two term are 4, -3
11. 6, 24, 96, 384, ...
In this sequence each term is getting multiplied by 4,
So, next two terms are 1536 , 6144
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For the women age 18-24 in hanes2, the average height was about 64.3 inches; the sd was about 2.6 inches. using the normal curve, estimate the percentage of women with heights
Z = 0.65 for a height of 66 inches.
What is Normal Probability Distribution?The most common continuous probability distribution is the Normal (or Gaussian) distribution. As the curve approaches zero on either side of the mean, the function calculates the likelihood that an event will fall between any two real number limits. The area beneath the normal curve is always one.To find Normal Probability Distribution:
The z-score formula can be used to solve normal distribution problems.The z-score of a measure X in a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:[tex]Z=\frac{X-\mu}{\sigma}[/tex]The Z-score indicates how far the measure deviates from the mean. After determining the Z-score, we examine the z-score table to determine the p-value associated with this z-score. This p-value represents the probability that the measure's value is less than X, or the percentile of X. Subtracting 1 from the p-value yields the probability that the measure's value is greater than X.The average height was approximately 64.3 inches, with a standard deviation of approximately 2.6 inches.It means: [tex]\mu=64.3, \sigma=2.6[/tex]66 inches :
The z-score for a 66-inch height is:[tex]\begin{aligned}&Z=\frac{X-\mu}{\sigma} \\&Z=\frac{66-64.3}{2.6} \\&Z=0.65\end{aligned}[/tex]Therefore, Z = 0.65 for a height of 66 inches.
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The complete question is given below:
For the women aged 18-24 in HANES2, the average height was about 64.3 inches; the SD was about 2.6 inches. Express each height in standard units. (Decimal form; two places after decimal.) 66 inches:
Is the function [tex]f(x)=\sqrt{x}[/tex] differentiable at x=0 and continuous over R?
Answer: No
Explanation:
Apply the derivative
[tex]f(x) = \sqrt{x}\\\\f(x) = x^{1/2}\\\\f'(x) = (1/2)x^{-1/2}\\\\f'(x) = \frac{1}{2x^{1/2}}\\\\f'(x) = \frac{1}{2\sqrt{x}}\\\\[/tex]
Though we run into a problem since f ' (0) is undefined, due to the zero in the denominator.
Therefore, f(x) is not differentiable at x = 0.
The function is continuous, but only on the interval [tex]x \ge 0[/tex] and not over the entire set of real numbers R.
If the nth term of a sequence is
7n + 2 what is the 10th term?
Answer:
72
Step-by-step explanation:
7(10) + 2
70 + 2
72
Stock Market At the beginning of the day the stock market goes up 30 1/2 points and stays at this level for most of the day. At
The
the end of the day the stock market goes down 80 1/4 points from the high at the beginning of the day. What is the total change
in the stock market from the beginning of the day to the end of the day?
The total change in the stock market is points.
(Type an integer, proper fraction, or mixed number.)
The total change in the stock market from the beginning of the day to the end of the day is -49.75.
According to the statement
We have to find that the change in the stock market.
So, For this purpose, we know that the
The change is the difference between the current price and the last trade of the previous day.
From the given information:
At the beginning of the day the stock market goes up 30 1/2 points and At
The end of the day the stock market goes down 80 1/4 points.
Then
Stock market goes up through points = 30 1/2 = 61/2
Stock market goes down through points = 80 1/4 = 321/4
Then
Change = +61/2 - 321/4
Change = +30.5 - 80.25
Change = -49.75
So, The total change in the stock market from the beginning of the day to the end of the day is -49.75.
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List five tasks that a layer can perform. is it possible that one (or more) of these tasks could be performed by two (or more) layers?
Error control, flow control, segmentation and reassembly, multiplexing, and connection setup are five tasks that a layer can perform.
Flow control: It is the efficient management of data flow between two or more devices like computers or nodes of a network.
Error control: The identification and correction of errors that occur during the transmission of data is called error control.
Segmentation and reassembly: Data to be transmitted is divided into small parts or chunks for convenience. This process is called segmentation. The combining of these chunks to reform the original data is called reassembling.
Multiplexing: The process of combination of digital data streams in one signal over a shared medium is known as multiplexing.
Connection setup: Establishing a connection between two devices that are connected to the same network is called connection setup.
All these tasks can be duplicated at different layers.
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Here are four equations connecting x and y k is a constant
Answer:
A : Equation 4
B: Equation 1
C: Equation 3
D: Equation 2
Step-by-step explanation:
For direct proportionality, it means as one variable increases, the other increases. E.g. as X in eqn 4 increases y increases. Same thing applies to decrease. This is cause y and x are on the "same level". In eqn 2 and 3, y and x are NOT on the same level because of the division sign.
Hope this helps!
Kindly mark (my answer) as brainliest. Thanks.
Express 405 as product of powers of their prime factors
The factor tree diagram is shown below.
========================================================
Explanation:
The first few primes are:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31
These numbers have factors of 1 and themself only.
Divide 405 over the smallest prime (2)
405/2 = 202.5
We don't get a whole number result, so 2 is not a factor of 405
Repeat for the prime next prime (3)
405/3 = 135
We get a whole number result. Therefore, 3 is a factor of 405
405 = 3*135
-------------------------
Now focus on 135.
Divide 135 over the smallest prime (2)
135/2 = 67.5
This rules out 2 as a factor of 135
Repeat for the prime number 3
135/3 = 45
So we can see that
135 = 3*45
which shows 3 is a factor of 135.
--------------------------
Now focus on 45. The prime 2 isn't a factor since 45/2 = 22.5 isn't a whole number
But 3 is a prime factor because 45/3 = 15 is a whole number. So 45 = 3*15 is the case.
Furthermore, 15/3 = 5 to show that 15 = 3*5
--------------------------
We can express all of this as a factor tree as shown below. The primes have been circled in red.
We have the primes of: 3, 3, 3, 3, 5
We can shorten the four '3's into 3^4
Therefore, 405 = 3^4 * 5
The product in terms of prime factor is 3*3*3*3*5.
What are prime factors?The factors of a number are numbers that evenly divide into it. A prime factor is a factor that is only divisible by 1 and itself.
Given:
405
On performing prime factorization
405= 3*3*3*3*5
Hence, the prime factors are 3*3*3*3*5.
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What property is (3+2) x 4 = 4 x (3+2)
Answer:
Commutative Property of Multiplication
Step-by-step explanation:
Hello!
(3+2) and 4 are factors of the multiplication equation. Flipping them around would still give the same answer.
This is the Commutative Property, specifically the Commutative Property of Multiplication.
The average age of undergraduate students at grand canyon university is 44. if the standard deviation is 4, what percentage of undergraduate students are between 36 and 52 years old?
75% is percentage of undergraduate students are between 36 and 52 years old.
What is percentage and example?
A percentage is a ratio or fraction where the full value is always 100. For example, if Sam received 30% marks in his math test, it signifies that he scored 30 marks out of 100. In ratio form, it is expressed as 30:100 and in fraction form as 30/100.The percentage is used to determine “how much” or “how many.” A percentage number aids in calculating the exact amount or figure that is being discussed. Fractions are compared.This would be true if k=3, but k=2
because (36-44)/4 = -2 and (52-44)/4 = 2
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Find an approximate equation of the line that passes through the two given. Write the equation in slope-intercept form. Round the slope and the constant term to teo decimal places. (-4. 7,2. 7) and (1. 3,-7. 3)
The equation of the line in slope-intercept form passing through the points (-4.7 , 2.7) and (1.3 , -7.3) is y = -1.67x - 5.13.
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The slope-intercept form of the equation of a line is given by the formula:
y = mx + b
where m is the slope of the line
b is the y- intercept
Given the two points, (-4.7 , 2.7) and (1.3 , -7.3), get the slope of the line using the formula:
m = (y2 - y1)/(x2 - x1)
m = (-7.3 - 2.7)/(1.3 - -4.7)
m = -10/6
m = -5/3
Using the slope-intercept form, plug in the value of the slope and one point to determine the y-intercept, b.
y = mx+ b
2.7 = -5/3(-4.7) + b
b = -77/15
Substitute the value of the slope and y-intercept in the slope-intercept form.
y = -5/3 x -77/15
y = -1.67x - 5.13
Hence, the equation of the line in slope-intercept form is y = -1.67x - 5.13.
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7 7/9 as an improper fraction
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{7 \dfrac{7}{9}}[/tex]
[tex]\mathsf{= \dfrac{7\times9 + 7}{9}}[/tex]
[tex]\mathsf{= \dfrac{63 + 7}{9}}[/tex]
[tex]\mathsf{= \dfrac{70}{9}}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{{\dfrac{70}{9}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
what is the unit price for a 14.2- ounce bottle that costs $3.98
Answer:
28.028 cents per ounce
= 28.03 cents per ounce rounded to 2 decimal places
= 28.0 cents per ounce rounded to 1 decimal place
= 28 cents per ounce rounded to nearest cent
Step-by-step explanation:
[tex]\texttt{{Unit Price} = \ensuremath{\dfrac{\texttt{Total Price}}{\texttt{Quantity}}} }[/tex]
Here
Total Price = $3.98
Quantity = 14.2 ounce
[tex]\texttt{{Unit\;Price}\;=\;\ensuremath{\dfrac{\texttt{\$3.98}}{\texttt{14.2 oz}}} }[/tex]
Convert dollars in the numerator to cents for easier calculation
Since one dollar = 100 cents.
$3.98 = 3.98 x 100 = 398¢
Divide 398 by 14.2 to get
[tex]\ensuremath{\dfrac{\texttt{398}}{\texttt{14.2}}} } = \texttt{28.028 cents per ounce}[/tex]
which, you can round off as necessary
Rounding to 2 decimal places it becomes 28.03 cents per ounce
Rounding to 1 decimal place it becomes 28.0 cents per ounce
Rounding to nearest cent it becomes 28 cents per ounce
A surveyor asks a friend her opinion and then asks for the names of five friends for obtain additional opinions. This is an example of _____ sampling.
A surveyor asks a friend her opinion and then asks for the names of five friends for obtain additional opinions. This is an example of convenience sampling.
What is sampling?Sampling is the process of choosing the group from which you will actually collect data for your study. For instance, you could interview a sample of 100 students if you were examining the viewpoints of students at your university. With the help of sampling, you can test a statistical hypothesis on the features of a population.
An elementary illustration of a convenience sampling technique is when businesses hand out their marketing materials and conduct interviews with randomly chosen participants at a mall or on a busy street.
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can some one help me ?
The original price of a computer was reduced by $250. If p = the computer's original price in dollars, which algebraic expression represents the reduced price? O A. p - 250 OB. 250 - p O c. 250+ p O D. 250p
The original price of a computer was reduced by $250. If p = the computer's original price in dollars. p-250 is algebraic expression represents the reduced price.
The original price of a computer was reduced by $250
p = the computer's original price in dollars
reduced price = original price - reduction
algebraic expression can be written as:
p-250
The complete cost of purchasing an item is known as the original cost. The whole costs associated with purchasing and using an asset are taken into account when calculating its initial cost.
Listing price, also known as asking price, is the price at which a seller has placed a property on the market, but selling price is the price at which it actually sells. These days, properties that sell for significantly more than their asking or listed price receive a lot of media attention.
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Please help dont be like last guy if you do help i will give you extra points
The quotient of 455 ÷ 36 is 12 with a remainder of 23.
How to calculate the value?It should be noted that the subtraction of 360 from 455 will be 95.
Then after that 72 is subtracted from 95 and this will be 23.
Therefore, the quotient is 12 with a remainder of 23.
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