The process of converting individual raw scores in a distribution to a set of scores for which we know the percentiles is known as "normalizing the data" or "standardizing the data."
The steps for standardizing the data are as follows:
Order the raw scores in the distribution from smallest to largest.
Assign each score a percentile rank. This is the percentage of scores in the distribution that are equal to or lower than the score. For example, if a score has a percentile rank of 75, it means that 75% of the scores in the distribution are equal to or lower than that score.
Convert the raw scores to standardized scores (also known as z-scores). This is done by subtracting the mean of the distribution from each score and then dividing by the standard deviation of the distribution. The resulting standardized score represents the number of standard deviations above or below the mean that the raw score falls.
The process of standardizing the data helps to put the raw scores into a common context, which makes it easier to compare scores from different distributions and to draw meaningful conclusions about the data. Additionally, standardized scores can be used to determine the probability of a score falling within a particular range.
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18. If a cylinder with height 4 inches and radius r is filled with water, it can fill a certain pitcher. How many of these pitchers can a cylinder with height 4 inches and radius 3r fill?
Answer:
9 pitchers
Step-by-step explanation:
we know that
The volume of a cylinder is equal to
\(\text{V}=\pi r^2h\)
Step 1
Find the volume of the cylinder with height 4 inches and radius r
substitute the given values
\(\text{V}_1=\pi r^2(4)\)
\(\text{V}_1=4\pi r^2 \ in^3\)
Step 2
Find the volume of the cylinder with height 4 inches and radius 3r
substitute the given values
\(\text{V}_2=\pi(3r)^2(4)\)
\(\text{V}_2=36\pi r^2 \ in^3\)
Step 3
we know that
The volume of the cylinder 1 can fill a certain pitcher,
so
The volume of the pitcher is the same that the volume of cylinder 1
therefore
the number of pitchers that can be filled by the second cylinder is equal to divide the volume of the second cylinder by the volume of the first cylinder
\(\dfrac{36\pi r^2 }{4\pi r^2} =9 \ \text{pitchers}\)
Honda Atlas issued 100,000 shares of stock. In 1990, each share of stock was worth Rs. 152.50. In 1993, each share of the stock was worth Rs. 21.20. How much less the 100,000 shares worth in 1993 than in 1990?
Answer:
Rs.13,130 ,000
Step-by-step explanation:
Lets solve first for year 1990
Value of stock in 1990 = Rs. 152.50
No. of stocks issued in 1990 = 100,000
Total value of these stocks in 1990= Value of stock in 1990* no of stocks issued in 1990 = 152.50*100,000 = Rs. 15,250,000
Let solve first for year 1993
Value of stock in 1993 = Rs. 21.20
No. of stocks 1993 = 100,000
Total value of these stocks in 1993 = Value of stock in 1993* no of stocks issued in 1993 = 21.20*100,000 = Rs. 2,120,000
Decrease in value of stock in 1993 in comparison to 1990 = Total value of the stocks in 1990 -Total value of the stocks in 1993
= Rs. 15,250,000 - Rs. 2,120,000
= Rs.13,130 ,000
Thus, the 100,000 shares worth Rs.13,130 ,000 lesser in 1993 than in 1990.
concerning confidence intervals, which of the following statements is true? select one: as the confidence level increases, the width of the confidence interval increases. all of these statements are true. as the sample size increases, the width of the confidence interval increases. none of these statements is true
The statement "as the confidence level increases, the width of the confidence interval increases" is true. When constructing a confidence interval, the confidence level represents the level of certainty or reliability we have in our estimate. A higher confidence level requires a wider interval to capture a larger range of possible values.
To understand this, imagine constructing a 90% confidence interval and a 95% confidence interval for the same population parameter. The 95% confidence interval needs to provide a higher level of confidence, so it will be wider than the 90% interval to accommodate a larger range of values. However, the other statements are not true. Increasing the sample size actually leads to a narrower confidence interval. As the sample size increases, the estimate becomes more precise, resulting in a smaller margin of error and a narrower interval. Therefore, the statement "as the sample size increases, the width of the confidence interval increases" is false.
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List the following in order from least to greatest 20,2-2,(-2)2,-22
Answer:
(-22) ,- (2)2 , 2-2 , 20
Step-by-step explanation:
negative then postive
20
2-2=0
(-2)*2=(-4)
-22
hope this helps :)
brainliest?
The distance between (2, 7) and (-6, 2)
On average, Jim hearts beat 75 times per minute. Calculate the number of times his heart beats during 50 weeks
Answer:
37800000
Step-by-step explanation:
75 x 60 = 4500
4500 x 24 = 108000
108000 x 7 = 756000
756000 x 50 = 37800000
A car salesman sold two cars worth a total of $67,500. He was paid a commission of $2,025.
Answer:
280%
Step-by-step explanation:
67,500 divided by 2,025 is 280.25
Help please no links
find a cartesian equation for the curve. r = 10 sin(θ) + 10 cos(θ)
Step-by-step explanation:
Multiply both sides by
\( {r}^{2} = 10r \sin( \alpha ) + 10r \cos( \alpha ) \)
Recall that
\( {r}^{2} = {x}^{2} + {y}^{2} \)
\(x = r \cos( \alpha ) \)
\(y = r \sin( \alpha ) \)
So we have
\( {x}^{2} + {y}^{2} = 10y + 10x\)
\( {x}^{2} - 10x + {y}^{2} - 10y = 0\)
Complete the square for both equations and we will get
\( {x}^{2} - 10x + 25 + {y}^{2} - 10y + 25 = 50\)
\((x - 5) {}^{2} + (y - 5) {}^{2} = 50\)
This is a circle with a center (5,5) and a radius of 5 times root 2.
Please help with this bc i need to finish fast thx
the answer is 87.75
can anyone help me please? and tell me what to shade
:) Good Luck! You got this, and hope this helps!
What is the slope-intercept equation of the line below?
Answer:
y = -x-2
Step-by-step explanation:
We are given a slope of -1 and the y intercept of -2
The slope intercept form of the equation for a line is
y = mx+b
where m is the slope and b is the y intercept
y = -1x +-2
y = -x-2
Answer:
y=-x -2
Step-by-step explanation:
Slope-intercept form is
y=mx+b
where m is the slope and b is the y-intercept
We know that the slope is -1. We also know that the y-intercept is (0, -2). For this form, we can disregard the 0, and say the y intercept is just -2.
So, m is -1, and b is -2. Substitute the values into the equation.
y=mx+b
y=-1x+-2
Simplify
y= -x -2
This is the equation of the line in slope-intercept form.
The next model sports car will cost 5.2% more than the current model. The current model costs $55,000. How much will the price increase in dollars? What will be the price of the next model?
Answer: The price increase = $2,860.
The price of the next model will be $57,860.
Step-by-step explanation:
Given: The next model sports car will cost 5.2% more than the current model.
Current model costs $55,000.
Price increase = 5.2% of (Cost of current model)
= (0.052) x ($55000)
= $ 2860
So, the price increase = $2860.
Price of the next model = Cost of current model + price increase
= $(55000+2860)
= $ 57,860
Hence, the price of the next model will be $57,860.
For every 1 sheet of paper you have 4 markers. You have 10 sheets of paper. How many markers do you have?
you have 40 markers........
Consider the expression 8-6x+x^2, Is the expression equivalent to (x-4)(x-2)?
Answer:
Yes
Step-by-step explanation:
Factoring is the process of breaking a polynomial into its factors.
Standard Form
It is easiest to factor when in standard form. Standard form is when the terms are listed from highest power to lowest.
Standard form is \(x^2-6x+8\)Factoring
To find if two expressions are equal we can either factor the quadratic or multiply out the binomials. I find factoring to be faster and easier, so I will show that.
There are multiple techniques to factor; I will be explaining one of them. One way to factor quadratics is to find 2 numbers that multiply to c (the constant) and sum to b (the second term). In this case, the numbers -4 and -2 fit these requirements.
-4 * -2 = 8-4 + -2 = -6This means that \(x^2-6x+8\) factored is \((x-4)(x-2)\). Thus, they are equivalent.
Help out please need this now
Answer:
0.2266739274
Step-by-step explanation:
[√(150 + 214.9) ] / (9.85 - 0.4)²
The sum of two numbers is 32 their difference is 10. Find the numbers.
The two numbers are: 21 and 11
Step-by-step explanation:
Let x and y be the two numbers.
x+y = 32
x-y = 10 Rewrite this as x = y+10 and substitute for x in the first equation.
(y+10) + y = 32 Simplify and solve for y.
2y+10 = 32 Subtract 10 from both sides.
2y = 22 Divide both sides by 2.
y = 11
x = y+10
x = 11+10
x = 21
Answer:
y = 11
Step-by-step explanation:
x + y = 32
10 + y + y = 32
10 + 2y = 32
2y = 22
y = 11
I think this is it plz don't get mad if it is wrong
Determine each pair of triangles is congruent. If yes,include the theorem that applies
The pair of triangles in option A, C and D are congruent triangles.
What is triangle?
A triangle is a polygon with three edges and three vertices. It's one of the introductory shapes in figure. A triangle with vertices A, B, and C is denoted triangle Alphabet. In Euclidean figure, any three points, whennon-collinear, determine a unique triangle and contemporaneously, a unique aeroplane.
What is congruent triangle?
SSS: When all three sides are equal to each other on both triangles, the triangle is harmonious. AAS: If two angles and anon-included( you can suppose of it as outside) side of one triangle are harmonious to the corresponding corridor of another triangle, also the triangles are harmonious.
A) In the given figure, two angles and one side of the one triangle is equal to two angles and one side of the other triangle
By AAS consonance, two triangles are harmonious.
B) In the given figure, one angle and one side is equal
So, two triangles aren't harmonious
C) Then, two sides and one included angle of the one triangle is equal to two sides and one included angle of the other triangle
D) Then, two angles and one included side of the one triangle is equal to two angles and one included side of the other triangle.
thus, the brace of triangles in option A, C and D are harmonious triangles.
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Quick Question: did I do this right?
Answer:
Yes
Step-by-step explanation:
I think it looks right I hate when teacher give you work but no telling you how to do it
PLEASE SOMEBODY HELP ME! I DONT UNDERSTAND THIS!
because the two angles are opposite of two straight lines, they're equal
x+5=2x-5
ad five to both sides
x+10=2x
subtract x from both sides
x=10
8. If the area of Figure A is 216 square yards, find
the area of Figure B.
Step-by-step explanation:
the area is
baseline × height.
remember, 2 lengths are multiplied.
since both figures are similar to each other, it means that both lengths are changed by the same scaling factor.
18 × f = 63
f = 63/18 = 7/2
this factor f applies (as mentioned) to the baseline AND to the height.
therefore, the area changes by f×f = f² = 49/4.
that means the area of the larger figure is
216 × 49/4 = 54 × 49 = 2,646 yd²
What is the value of t?
Answer:
54
Step-by-step explanation:
comment if you want a step-by-step
A particle is located at vector r = (0.54,)i + (-36m)j +(p.85m)k constant force of magnitude 2.6 N acts on the particle. Find the components of the torque about the origin when the force acts in (a) the positive x direction and (b) the negative z direction.
The components of the torque about the origin when the force acts in
(a) the positive x direction is 1.4N.
(b) the negative z direction is 2.21N.
What is constant force of magnitude?
The motion of a particle occurs on a plane and is influenced by a force of constant magnitude that is always perpendicular to the particle's velocity.
Given:
A particle is located at vector r = (0.54m)i + (-36m)j +(.85m)k constant force of magnitude 2.6 N acts on the particle.
We have to find the torque about positive x direction and negative z direction.
At the positive x direction the torque is (T)
= the x component of position vector . F
= 0.54 x 2.6
= 1.4 N
At negative z direction Torque = - (z component of position vector).F
= .85 x 2.6
= 2.21 N
Hence,
The components of the torque about the origin when the force acts in
(a) the positive x direction is 1.4N.
(b) the negative z direction is 2.21N.
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please help ill give branliest answer
Answer:
The exterior angle is ∠BDC
Congreunt side is XZ
Step-by-step explanation:
The exterior angle just means the angle facing outside.
And for the congruent one you are right. Because they are put in the same order.
Which point is located on quadrant IV
It's the letter D hope it helps
Answer:
The Answer is:C
Step-by-step explanation:
What is d divided by 2
Answer:
d / 2
Step-by-step explanation:
a form of reasoning called is the process of forming general ideas and rules based on your experiences and observation
A form of reasoning called induction is the process of forming general ideas and rules based on your experiences and observations.
What is the Induction?The process of welcoming newly hired employees and assisting them in adjusting to their new positions and working surroundings is known as induction. Beginning a new work can be stressful, so new hires require assistance adjusting to their new environment.
The action or process of inducting someone to a position or organization.
We have given that,
A form of reasoning called is the process of forming general ideas and rules based on your experiences and observations.
As a result, the process of formulating general hypotheses and rules based on your observations and experiences is known as induction.
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Gracie has 5555 pet bunnies that love to eat whole carrots. She has 39393939 carrots to feed the bunnies. Gracie will use as many carrots as she can and give each bunny the same number. How many carrots will each bunny get?
Answer:
7,091.61
Step-by-step explanation:
If you have a number 1. (39393939) and you have another number 2. (5555) and you want the second number to get the same amount as the other numbers but evenly, you need to divided the first number with the second number.
Ex. 39393939/ 5555 = 7,091.61
So each bunny will get 7,091.61 carrots.
plz help important!!!!!!!!!!!!!!!!!!!!!!
Answer:
the cost of gas i think
Step-by-step explanation:
i dont really know
Answer:
I think it is, B( The length of the route
Step-by-step explanation:
An architect's sketch of plans for the front of a garage in the shape of pentagon is shown below. What is the approximate perimeter of the
front of the garage?
-8
-6 -4 -2
A. about 36 ft
B. about 21 ft
C. about 10 ft
D. about 77 ft
Using it's concept, it is found that the approximate perimeter of the front of the garage is:
A. about 36 ft.
What is the perimeter of a figure?The perimeter of a figure is given by the total length of it's boundary.
In this problem, we have that:
The bottom boundary has length of 10 units.The two lateral boundaries have lengths of 7 units.There are two top boundaries, which are the hypotenuses of a right triangle with legs 3 and 5, hence:\(t = \sqrt{3^2 + 5^2} = 5.83\)
Hence the perimeter of the figure is:
P = 10 + 2 x 7 + 2 x 5.83 = 35.66.
Rounding, it is of about 36 ft, hence option A is correct.
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