The correct answers are: 1. Z-scores are useful because they provide a standardized way of indicating how unusual an observation is. 2. The standard deviation is a natural ruler for comparing values to the mean. 3. Z-scores and the standard deviation are applicable to both symmetric and skewed distributions.
These answers accurately describe the benefits of using Z-scores and the standard deviation in statistical analysis. Z-scores allow us to determine how many standard deviations away from the mean a particular observation is, providing a measure of how unusual or extreme that observation is compared to the rest of the data set.
The standard deviation serves as a measure of dispersion, representing the average amount by which data points vary from the mean. It provides a useful reference point for comparing individual values to the mean. Additionally, both Z-scores and the standard deviation can be applied to distributions with varying shapes, including both symmetric and skewed distributions.
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Select all of the answers that apply. Z-scores are useful because it is a standardized way of saying how unusual an observation is ZZZZZzzzzzzzzzzz <snore snore> WAKE UP you're almost done. the standard deviation is a natural ruler for comparing values to the mean they are applicable to both symmetric and skewed distributions.
help appreciated thanks
Answer:
No
Step-by-step explanation:
x=(b-5)/c≠(5-b)/c
supposedly
b=6
c=1
x=6-5/1=1
x=5-6/1= -1
1≠ -1
Answer:
No
Step-by-step explanation:
x = b - 5 / L equal to - (5 - b) / L
Helpppppp pleaseeeee
Answer:F(x)=3
Step-by-step explanation:
KK!
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
Simplify -6a^3b^-1/36ab^2
The simplified form of the polynomial is \(-(a^2 / (6b^3)).\)
What is polynomials?Polynomials are algebraic expressions that consist of variables and coefficients. The variables are often referred to as "indeterminates." The word polynomial comes from the terms "poly" and "nomial," which mean "many" and "terms," respectively. When you combine exponents, constants, and variables using mathematical operations such as addition, subtraction, multiplication, and division (excluding division by a variable), you get a polynomial. Depending on the number of terms it has, a polynomial can be categorized as a monomial, binomial, or trinomial.
To simplify this expression, we can use the following rules of exponents:
\(a^m/a^n = a^{(m-n) }\)(when the bases are the same)
\(a^{-m} = 1/a^m\\(1/b^m) = b^{-m}\)
Using these rules, we can simplify the expression as follows:
\(-6a^3b^{-1}/36ab^2 = - (6/36) \times a^{(3-1)} \times b^{(-1-2)}\\\\= - (1/6) \times a^2 \times b^{(-3)}\\\\= - (a^2 / (6b^3))\)
Therefore, the simplified form of the expression is \(-(a^2 / (6b^3)).\)
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The percentage, P(t), of information memorized by Bridget is a function of the time, t,
in minutes, of the length of a lecture.
P(t) = t-t²
50
Bridget's friend wanted to determine the percentage memorized at various times and
evaluated the four values: P(40), P(50), P(60), P (70).
During what length of a lecture did Bridget memorize the most information?
40 min
O 50 min
60 min
O 70 min
Answer:
P(40) = 64, P(50) = 70, P(60) = 72,
P(70) = 70
60 minutes is correct.
Need some help working these out
Answers:
Problem 1) 40 degreesProblem 2) 84 degreesProblem 3) 110 degrees===============================================
Explanation:
For these questions, we'll use the inscribed angle theorem. This says that the inscribed angle is half the measure of the arc it cuts off. An inscribed angle is one where the vertex of the angle lies on the circle, as problem 1 indicates.
For problem 1, the arc measure is 80 degrees, so half that is 40. This is the measure of the unknown inscribed angle.
Problem 2 will have us work in reverse to double the inscribed angle 42 to get 84.
-------------------
For problem 3, we need to determine angle DEP. But first, we'll need Thales Theorem which is a special case of the inscribed angle theorem. This theorem states that if you have a semicircle, then any inscribed angle will always be 90 degrees. This is a handy way to form 90 degree angles if all you have is a compass and straightedge.
This all means that angle DEF is a right angle and 90 degrees.
So,
(angle DEP) + (angle PEF) = angle DEF
(angle DEP) + (35) = 90
angle DEP = 90 - 35
angle DEP = 55
The inscribed angle DEP cuts off the arc we want to find. Using the inscribed angle theorem, we double 55 to get 110 which is the measure of minor arc FD.
How do you find powers of i?
Si un cerdo pesa 20.000 gramos y el ternero pesa 550 decagramos. ¿Cuál es su medida en kilogramos y cuál será el más pesado de los dos?
Answer:
Step-by-step explanation: yo también quiero la misma respuesta
A young boy is growing at a rate of 3 cm per month. He is currently 80 cm
tall. At this rate, in how many months will he grow to the height of 122 cm?
Answer:
14
Step-by-step explanation:
you need to subtract 80 from 122 to get 42 then divide it by three
PLS HELP ME WITH THIS!!!
option C is the correct answer. sin β = 15 / 17
How to work itGiven data
Right angled triangle has sides
opposite = 15
adjacent = 8
Hypotenuse = 17
sin β = opposite / hypotenuse
substituting the values gives
sin β = 15 / 17
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Helpppp meee pleaseee
Answer:
Refraction trust me I am in high school biology
Step-by-step explanation:
I looked it up it said the reflection hope its right
Select the correct answer.
Simplify this expression: cos t(sect - cost)
O A. cos²t
OB. 1-tan²t
O C. 1+tan²t
OD. sin²t
The simplified trigonometric expression is sin²t.
Option D is the correct answer.
We have,
Given,
Trigonometric expression:
cost (sect - cost)
[ sec t = 1/ cos t ]
= cost (1/cos t - cos t)
Applying the distributive properties.
= cos t/cos t - cos²t
= 1 - cos²t
= sin²t
(using the trigonometric identity sin²t + cos²t = 1)
Therefore,
The simplified trigonometric expression is sin²t.
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what’s the biggest difference between an area variance and a use variance?
The main difference between an area variance and a use variance is that area variance allows for an exception to zoning regulations related to the physical characteristics of a property, while use variance allows for an exception to regulations related to the intended use of a property.
An area variance is typically granted when a property owner is unable to comply with zoning regulations related to setbacks, building height, lot coverage, or other physical characteristics of a property.
In contrast, a use variance allows a property owner to use their property for a purpose that is not permitted under the current zoning regulations. This may include using a residential property for commercial purposes or using a commercial property for residential purposes.
Use variances are generally more difficult to obtain than area variances, as they require a showing of a unique hardship or practical difficulty that cannot be addressed through other means.
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The total surface area of a closed cylinder is 5000cm². Find the dimension of the radius that maximizes its volume and state the maximum volume.
The maximum volume of the cylinder is 27147.355 cm² at the maximum point.
What is volume of cylinder?
The density of a cylinder is determined by its volume, which represents how much material may be immersed in it or carried inside of it. The formula r2h, where r is the radius of the circular base and h is the height of the cylinder, determines the volume of a cylinder. The substance could be a liquid amount or something else that can be evenly put into the cylinder.
The formula for the volume of the cylinder v = \(\pi r^2\)h,
To find the maximum volume of the cylinder we apply the condition of maxima \(\frac{dv}{dr}\) = 0.
Let r cm be the radius and h cm be the height of the closed cylinder.
Then, Total surface area of the cylinder = \(2\pi r(r+h)\)
5000 = \(2\pi r^{2} +2\pi rh\)
h = \(\frac{5000-2\pi r^{2} }{2\pi rh}\)............(1)
Volume of the cylinder v = \(\pi r^2h\)
Substitute the value of h in the above equation
= \(\pi r^2\) × \(\frac{5000-2\pi r^{2} }{2\pi rh}\\\)
= \(\frac{r}{2}\) × \(5000-2\pi r^2\)
v = \(2500r-\pi x^{3}\) ..............(2)
Now, for the maximum volume of the cylinder dv/dr= 0
\(\frac{d(2500r-\pi x^{3})}{dr}\) =0
\(3\pi r^{2} =2500\)
\(r^{2} =\frac{2500}{3\pi }\)
r=\(\frac{50}{\sqrt{3\pi } }\)
r= 27147.355
Hence, The maximum volume of the cylinder is 27147.355 at the maximum point r= \(\frac{50}{\sqrt{3\pi } }\).
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Which transformation is similar but not congruent to the original figure?A.dilationB.rotationC.reflectionD.translation
Dilation and rotation is a series of transformations that would produce a figure that is similar to the original figure but not congruent with it.
Transformation of dilation and rotation:
Rigid transformations, such as rotations, reflections, and translations, do not alter the size or shape of a figure; rather, they only move it. The congruence is preserved by these hard changes.
However, because dilation alters a shape's size, they are not hard transformations. The ratio of matching sides would be equal to the scale factor used in the dilatation; the form would remain the same, just the size would vary. This would provide us with a comparable but in congruent value.
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Will the solution x > -7 have an open or closed circle?
Answer:
Open
Step-by-step explanation:
The <, > signs will have an open circle and the greater than or equal to or less than or equal to will be a be a closed circle.
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The y-coordinate for the solution to the system of equations is -3.
What is a system of equations?
A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations. The intersection of two lines represents the system of equations' solution.
Given system of equations are,
6x + 11y = -3
4x + y = 17
To solve these equations, we must first remove x or y terms.
To do this we must make the removing term's coefficients the same.
In this case, let's remove y.
We are multiplying the second equation by 11. Then,
6x + 11y = -3
44x + 11y = 187
Now we will subtract the second equation from the first.
- 38x = -190
x = 5
Now to find y, substitute x in any one of the equations.
6 * 5 + 11y = -3
11y = -33
y = -3
Hence the y-coordinate for the solution to the system of equations is -3.
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please graph y≤ 2x-3
if we are given a right-tail probability (or area) a and want a measurement m, which function in excel should we use? assume that the mean of the distribution is mu and the standard deviation is sigma.
The function in Excel that we should use to find a measurement M given a right-tail probability (or area) A is = NORM.INV(1-A, mu, sigma)
In order to find a measurement M given a right-tail probability A in Excel, we can use the NORM.INV function. The NORM.INV function in Excel returns the inverse of the normal cumulative distribution for a given probability.
The formula for NORM.INV function is:
= NORM.INV(1-A, mu, sigma)
where:
A is the right-tail probability (or area)
mu is the mean of the distribution
sigma is the standard deviation
The function returns the measurement M such that the right-tail area from M to infinity under the normal curve is equal to A.
Note - In some versions of Excel, the function may be called NORM.INV.RT instead of NORM.INV.
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let a = © a,b, c,d, e ª . suppose r is an equivalence relation on a. suppose r has two equivalence classes. also ard, brc and erd. write out r as a set.
The set representing the equivalence relation r can be written as:
r = {(a, a), (a, b), (a, c), (b, a), (b, b), (b, c), (c, a), (c, b), (c, c), (e, e)}
Based on the given information, an equivalence relation r on the set A = {a, b, c, d, e} with two equivalence classes. Know that ard, brc, and erd.
To write out the equivalence relation r as a set, we can list all the ordered pairs that belong to the relation.
The equivalence relation r consists of all the ordered pairs (x, y) such that x and y are related (i.e., belong to the same equivalence class). Since we have two equivalence classes, let's denote them as [a] and [e].
The equivalence class [a] contains the elements a, b, and c, and the equivalence class [e] contains the element e.
Thus, the set representing the equivalence relation r can be written as:
r = {(a, a), (a, b), (a, c), (b, a), (b, b), (b, c), (c, a), (c, b), (c, c), (e, e)}
Each ordered pair represents a relation between two elements in the set A based on the given equivalence relation r.
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Larissa is planning for a trip that will cost $2,145. She has $952.50 saved and is going to set aside ½ of her weekly salary from her part-time job. Larissa earns $265 per week. How many weeks will it take her to earn the rest of the money needed for the trip? With work shown
Answer:
9 weeks :)
Step-by-step explanation:
First we subtract :)
2145 - 952.50 = 1192.50
Now we divide :)
265/2 = 132.5
Now we divide 1 more time :)
1192.50/132.50 = 9
It will take 9 weeks :)
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which is an example of closed-end credit? a. payday loanb. title loanc. home loan d. credit card
Answer:
home loan
\(451\)
PLS HELP ME I WILL MARK THE BRAINLIEST
#1
First the rectangle
L=18mB=7mArea
18(7)126m^2.For semicircle
d=7m=>r=3.5mArea
=πr^2/2=12.25π/2Total area
126+2(12.25π/2)126+12.25πm^2#2
r=15fttheta=332°=332×π/180=0.92πArea:-
r^2\theta15^2(0.92)207ft^2find the cosine of the angle between the planes x y z = 0 and x 5y 4z = 8.
the cosine of the angle between the planes is:
cos(theta) = (n1 . n2) / (|n1| |n2|) = 10 / (sqrt(3) * sqrt(42)) = 10 / (sqrt(126)) = (10/6) * sqrt(14) = (5/3) * sqrt(14)
To find the cosine of the angle between the planes, we need to find the normal vectors of both planes, and then use the dot product formula:
cos(theta) = (n1 . n2) / (|n1| |n2|)
where n1 and n2 are the normal vectors of the planes.
For the first plane x + y + z = 0, the coefficients of x, y, and z give us the normal vector <1, 1, 1>.
For the second plane x + 5y + 4z = 8, the coefficients of x, y, and z give us the normal vector <1, 5, 4>.
Taking the dot product of these vectors, we get:
<1, 1, 1> . <1, 5, 4> = 11 + 15 + 1*4 = 10
To find the magnitudes of the normal vectors, we can use the Pythagorean theorem:
|<1, 1, 1>| = sqrt(1^2 + 1^2 + 1^2) = sqrt(3)
|<1, 5, 4>| = sqrt(1^2 + 5^2 + 4^2) = sqrt(42)
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two numbers have ratio 12:5. Their difference is 98. Find the larger
number.
What is the slope of the line that
passes through these two points?
(1, 2)
(2, 8)
(x1.yı) Slope =
rise (y2-yı)
Remember, given two points,
(x2:y2) run (x2-x1)
Answer:
6
Step-by-step explanation:
8 - 2 / 2 - 1
6 / 1
6
Find A^c U B if sample space S = {1 to 20}, A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, and B = {2, 4, 6, 8, 7, 10, 12, 14, 16, 18}
Answer:
Step-by-step explanation:
S={1,2,...,20}
A={1,2,3,4,5,6,7,8,9,10}
A^c={11,12,13,...,20}
B={2,4,6,8,7,10,12,16,18}
A^cU B={2,4,6,7,8,10,11,12,13,14,15,16,17,18,19,20}
Find the length of segment CD.
Answer:
62 causED its 12:51
Step-by-step explanation:
Cause its 62 bY 68
Answer:
I think the whole Line would be 16
Step-by-step explanation:
You have to use the Pythagorean Theorem.
so do 6^2 + x^2 = 10^2
then solve and you get x^2 = 64 which means x=8
then since CE and ED are the same and congruent lines ED will also be 8 so you add the 8 up and get 16.
sorry if I'm wrong
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A coin with probability p of showing up heads is tossed n times. What is the probability that the number of heads is odd
The chance you get a odd number of heads from the first coin is 1/3,
What is the probability that the number of heads is odd? The tosses of the coin are independent (neither affects the other). Hence, the probability of a head on Flip 1 and a head on Flip 2 is the product of P(H) and P(H), which is 1/2 x 1/2 = 1/4. The same calculation applies to the probability of a head on Flip 1 and a tail on Flip 2For n≥3, if the last outcome is T, then the probability that the first (n−1)tosses do not contain two (or more consecutive heads is p n−1 and if the last outcome is H, then (n−1)th outcome must be T and the probability the first(n−2) tosses do not contain two (or more) consecutive heads is p n−2 . Hence, p n =p n−1 ×P (nth toss results in a tail)+p n−2 ×P (nth toss results in a head and (n−1)th toss results in a tail)=(1−p)p n−1+p(1−p)p n−2To learn more about probability refers to:
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If the market price of each camera case is $8, what is the firm's total revenue when the profit-maximizing quantity is found at the output where mr = mc?
$3200
The profit-maximizing quantity will take place where MR = MC—or at the last possible point before marginal costs start surpassing marginal revenue. The amount of goods produced at which marginal revenue equals marginal cost, or when MR = MC, is the decision that will maximize profits for the monopoly. If the monopoly produces less, MR > MC at given production levels, and the enterprise can increase profits by increasing output.
While a company produces more, MC > MR prevails, allowing it to increase profits even when it produces less overall. Therefore:
MC = change in total cost/change in quantity
Change in quantity = 100 at each unit
Change in total cost at 400 units = 2760 - 1960 = 800
MC at 400 units = 800/100 = 8
Under perfect competition, profit maximizing condition is where;
P = MC
At 400 units, P = MC = 8
Implies profit maximizing quantity is 400 units.
Total revenue = Price x Quantity = 8 x 400 = $3200
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