Answer:
Using the variables it gives us it is B=150m
Step-by-step explanation:
1.) $1800-$1350=$450
$1350 is the total balance after 3 months and $450 is the amount he has payed in those 3 months
2.) 450/3=150
You do 450/3 to find how much he is paying per month. If you want to check your work do 1800-1050=750 then do 750/5=150
So you put the numbers in B = Zachary's balance after m months and you get B=150m
Answer:
150m
Step-by-step explanation:
non-linear sequence is
100, 95, 90, .............
20, 12, 4, ...............
4, 5, 7, ...............
0.5, 1, 1.5, ...............
what pattern of growth are we currently exhibiting? exponential growth intrinsic growth logistic growth none of the other answer options is correct. geometric growth
Geometric growth is a type of exponential growth where a quantity or value increases at a fixed percentage rate over a certain period of time.
Geometric growth is a type of exponential growth where a quantity or value increases at a fixed percentage rate over a certain period of time. This means that the growth rate is proportional to the current size or value of the quantity, resulting in a continuously increasing growth rate.
Geometric growth is commonly observed in natural and social systems, such as population growth, compound interest, and the spread of infectious diseases. It is represented mathematically by an exponential function, where the base of the exponent is greater than one, indicating an increasing rate of growth over time.
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I have solved the question in general, as the given question is incomplete.
The complete question is:
What is geometric growth ?
itaimle fentan' th the yen +1 Mime chose Sowe Mitide chices asccereiond pls: * attonach 7= Which of the liliswing in a cintical ritik to the wocest of yod tritivees plan? Mrryin Dreite hisculte ievitor: porinumalike Q.wide Orete be Connie decides to open "Connie's Corner Cafe" and finds the ideal location for her venture. However, it appears that Connie will have to approach investors or bankers for financial backing. When she talks to her local bank manager. Mr. Johnson, he immediately asks for Connie's business plan. Connie is in trouble because she does not know what a business plan looks like. Which of the following plans is most useful for demonstrating a new technology or service or to reach a market that is widely spread out? Mutiple Choice an irvertion plan a proof-of-concept website an operational plan a screening plan Connie decides to open "Connie's Corner Cafe" and finds the ideal location for her venture. However, it appears that Connie will have to approach investors or bankers for financial backing. When she talks to her local bank manager, Mr. Johnson, he immediately asks for Connie's business plan Connie is in trouble because she does not know what a business plan looks like. Which of the following statements about the market section of the classic business plan is not true? Muniple Choice The market section bullds on material you may have developed in the IDEO, business model canvas, and feasibility analyses done eatilier, Marketing plans remain the same across any multiple target audiences; Target audiences are aiso ealled custamer segments. Some people prefer to relocate the compettion and competilve advantage section from the market section to the industry section. Connie decides to open "Connie's Corner Café" and finds the ideal location for her venture. However, it appears that Connie will have to approach investors or bankers for financial backing. When she talks to her local bank manager, Mr. Johnson, he immediately asks for Connie's business plan. Connie is in trouble because she does not know what a business plan looks like. Which of the following is a critical risk to the success of your business plan? Mulitiple Choice overlooked competition assumptions given for the financials adequate paybock direct customer connection Connie decides to open "Connie's Corner Café" and finds the ideal location for her venture. However, it appears that Connie will have to approach investors or bankers for financial backing. When she talks to her local bank manager, Mr. Johnson, he immediately asks for Connie's business plan. Connie is in trouble because she does not know what a business plan looks like. Which of the following pitch deck categories is sometimes given in the form of a user's experience? Multiple Cholce product sides problem slide solution slide introductory slide Connie decides to open "Connie's Corner Cafe" and finds the ideal location for her venture. However, it appears that Connie will have to approach investors or bankers for financial backing. When she talks to her local bank manager, Mr. Johnson, he immediately asks for Connie's business plan. Connie is in trouble because she does not know what a business plan looks like. There are two goals you can seek in the "ask" of your elevator pitch. One is to build your network and the other is get the listener Multiple Choice to make a micro-commitment. provide feedback look at your invention plan, to piedge money Connie decides to open "Connie's Corner Cafe" and finds the ideal location for her venture. However, it appears that Connie will have to approach Investors or bankers for financial backing. When she talks to her local bank manager, Mr. Johnson, he immediately asks for Connie's business plan. Connie is in trouble because she does not know what a business plan looks llike. A good marketing strategy is most likely to focus on Multiple Choice productiservice description. key activities and operations: value proposition. the longerterm competitive plan.
The plan that is most useful for demonstrating a new technology or service or to reach a market that is widely spread out is a proof-of-concept website
How to explain the informationThe statement about the market section of the classic business plan that is not true is that some people prefer to relocate the competition and competitive advantage section from the market section to the industry section.
A critical risk to the success of your business plan is Overlooked competition.
The pitch deck categories that is sometimes given in the form of a user's experience is Problem slide.
There are two goals you can seek in the "ask" of your elevator pitch. One is to build your network and the other is to get the listener to Make a micro-commitment
A good marketing strategy is most likely to focus on the longer-term competitive plan.
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PLEASE HELP!!
Find the surface volume
(Ignore the erased work)
So on solving the provided question, we can say that Volume of cone is \(\pi r^2\frac{h}{3}\) = 10561.39 cm cubic and surface area of cone = \(\pi r( r + \sqrt{ h^2 + r^2 } )\) = 37.2338688 cm sq.
what is a cone?A cone is a three-dimensional geometric object with a flat base and a smooth tapering apex or vertex. In a plane without vertices, a cone is created by connecting a series of line segments, half-lines, or lines that are common to all points on the base. A cone is a three-dimensional structure with a seamless transition from a flat base, which is typically circular, to the vertex or apex, which serves as the axis to the base's center. An obvious three-dimensional geometric shape with an upwardly flattened curved surface is called a cone.
Volume of cone is \(\pi r^2\frac{h}{3}\)
V = 3.14*15.5*15.5*42/3 = 10561.39 cm cubic.
surface area of cone = \(\pi r( r + \sqrt{ h^2 + r^2 } )\)
SA = \(3.14*15.5 * \sqrt{1764 + 240.25} \\3.14*15.5 * \sqrt{2004.25}\)
SA = 3.14*15.44.768
SA = 37.2338688 cm sq.
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g inspect the bball3 data set. what structure do these data appear to take? panel data cross sectional time series
The bball3 dataset appears to take the form of panel data, which is a type of longitudinal data consisting of multiple observations of the same individuals over time
The bball3 dataset appears to take the form of panel data. Panel data is a type of longitudinal data where observations are made on the same individuals over time. This means that the dataset likely consists of multiple observations of a set of individuals, with the observations collected at different points in time. In a panel data set, each individual can be referred to as a ‘panel unit’.
Cross-sectional data, on the other hand, consists of observations that are collected only once, at a single point in time. This means that each observation consists of a snapshot of the population at a given moment, which is different from panel data where each observation may represent different points in time for the same individuals.
Time series data is a type of data that is collected over a period of time. It captures how a certain variable changes over time, and is often used for forecasting purposes. This is different from panel data, which captures information about the same individuals at different points in time.
In conclusion, the bball3 dataset appears to take the form of panel data, which is a type of longitudinal data consisting of multiple observations of the same individuals over time. It is not cross-sectional or time series data.
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Explain why AAA is not a way to prove that two triangles are congruent. Please
Step-by-step explanation:
congruent is define as the same shape and size. AAA only prove the two triangle iare same shape but not same size.
The figure is a regular hexagon ABCDEF with center O. (P, Q, R, S, T, and U are the midpoints of the sides.)
The image of P under the reflection with axis the line passing through A and D is:
A.) U
B.) R
C.) T
D.) Q
E.) none of these
The image of point P under the reflection with the axis being the line passing through points A and D in a regular hexagon ABCDEF can be determined.
When reflecting a point across a line, the image of the point is located on the opposite side of the line but at an equal distance from the line. In this case, the reflection axis passes through points A and D.
If we examine the given options, we can eliminate options B, C, and D because their corresponding points are not on the opposite side of the line passing through A and D.
To determine the correct option, we need to consider the midpoint of the line segment connecting P and its reflected image. Since point P is a midpoint, the midpoint of the line segment between P and its reflection will be point O, the center of the hexagon. Therefore, the correct option is E) none of these.
The image of point P under the reflection with the axis being the line passing through A and D is point O, the center of the hexagon.
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Let f(x) = c/(1+x2)
a) For what value of c is f a probability density function?
b) For that value of c, find P(-1
a) The value of c is f a probability density function will be c = 1/pi.
b) that value of c, find P(-1) will be pi/2.
The value of c that makes f(x) a probability density function is:
c = 1/pi
a) For f(x) to be a probability density function, it must satisfy the following two conditions:
f(x) must be non-negative for all x.
The integral of f(x) over the entire real line must equal 1.
Let's first check the second condition:
Integral from negative infinity to positive infinity of \([c/(1+x^2)] dx = c * [arctan(x)]\)from negative infinity to positive infinity =\(c * [pi/2 + (-pi/2)] = c * pi.\)
So for the integral to equal 1, we must have:
c * pi = 1
Therefore, the value of c that makes f(x) a probability density function is:
c = 1/pi
b) To find P(-1<x<1), we need to integrate f(x) over the interval (-1, 1):
Integral from -1 to 1 of [c/(1+x^2)] dx = [arctan(x)] from -1 to 1 = [arctan(1) - arctan(-1)] = pi/2.
So, \(P(-1 < x < 1) = pi/2.\)
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A hockey puck with a mass of 0.17 kg is traveling to the right along the ice at 15 m/s it strikes a second hockey puck with a mass 0.11 kg the first hockey puck comes to rest after the collision of conservation of momentum holds what is the total final momentum of the system (round your answer to the nearest tenth
Answer:
Conservation of momentum means that the final momentum must be the same as the initial momentum, where the momentum is defined as:
P = m*v
where m is mass, and v is velocity.
First, let's calculate Pi, the initial momentum.
Pi = Pi₁ + Pi₂
Where the subscripts 1 and 2 refer to each puck:
Pi₁ = 0.17kg*15m/s = 2.55 (kg*m/s)
Pi₂ = 0.11kg*0m/s = 0 (kg*m/s)
Pi = 2.55 (kg*m/s) + 0 (kg*m/s) = 2.55 (kg*m/s)
Now, after the collision we have that:
The first puck comes to rest, then:
Pf₁ = 0.17kg*0m/s = 0 (kg*m/s)
And the second puck will have a velocity v, that we want to find:
Pf₂ = 0.11kg*v
Pf = Pf₁ + Pf₂ = 0 (kg*m/s) + 0.11kg*v = 0.11kg*v
And by conservation of momentum we have:
Pi = Pf
2.55 (kg*m/s) = 0.11kg*v
We divide in both sides by 0.11kg
2.55 (kg*m/s)/0.11kg = v
23.2 m/s = v
And from this, the final momentum will be the same as the initial:
Pf = 23.2m/s*0.11kg = 2.55 (kg*m/s)
The total final momentum of the system is 2.55 Kg m/sec and this can be determined by conserving the momentum.
Given :
A hockey puck with a mass of 0.17 kg is traveling to the right along the ice at 15 m/s it strikes a second hockey puck with a mass of 0.11 kg the first hockey puck comes to rest after the collision of conservation of momentum holds.
The formula of the momentum is given below:
P = mv
Now, let conserve the moment, that is:
\(\rm P_i=P_f\) --- (1)
where \(\rm P_i\) is the initial momentum and \(\rm P_f\) is the final momentum.
First, determine the initial momentum.
\(\rm P_i = 0.17\times 15 + 0.11\times 0= 2.55\;Kg\;m/sec\)
Now, determine the final momentum.
\(\rm P_f = 0.17\times 0+ 0.11\times v = 0.11v\;Kg\;m/sec\)
Now. substitute the value of \(\rm P_i\) and \(\rm P_f\) in the equation (1).
\(\rm 2.55=0.11v\)
v = 23.18 m/sec
So, the final momentum can be calculated as:
\(\rm P = 23.18 \times 0.11\)
P = 2.55 Kg m/sec
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Translate into an algebraic expression: How much 50% sugar syrup can you make if you have x grams of sugar ?
Answer:
The algebraic expression is v = 2x
v is the volume of the sugar syrup and
x is the mass of sugar in grams.
Step-by-step explanation:
Let x be the mass of sugar in grams and v be the volume of sugar syrup.
So, mass of sugar in grams/volume of sugar syrup × 100 % = 50 %
x/v × 100 % = 50 %
x/v = 50/100
x/v = 1/2
v = 2x
So, the algebraic expression required is v = 2x where v is the volume of the sugar syrup and x is the mass of sugar in grams.
Write a system of two linear equations in two variables that you can
solve by subtracting the equations and that results in a solution of (3, 1).
The system of two linear equations in two variables that we can solve by subtracting the equations and that results in a solution of (3, 1) is:-
x + y = 4
2x - 3y = 3
Let x + y be equation (1) and 2x - 3y = 3 be equation (2).
Multiplying (1) by 2, we get,
2x + 2y = 8 ...(3)
(3) - (2), we get,
(2x - 2x) + (2y - (-3y)) = 8 - 3
0 + 5y = 5
y = 5/5 = 1
y = 1
Putting y = 1 in (1), we get
x + 1 = 4
x = 4 - 1
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(x-3).(x+3)-(x+5).(x-1)
Linear Algebra
for a complex vector space, let x = (i, 1+i) and y = (3-i, i).
Which case is correct and why? Please advise.
The vectors x and y are not orthogonal, and case (ii) is correct: The vectors x and y are not orthogonal.
The expression for the dot product of complex vectors x and y with complex conjugates is given byx · y* = [ (i)(3-i) + (1+i)(i) ] = (3i - i² + i - 1) = (4i - 2)
When the dot product of x and y with complex conjugates is zero, the vectors are orthogonal.
Let's begin by computing the dot product of x and y with complex conjugates: (i, 1+i) · (3-i, i)*= (i)(3-i) + (1+i)(i)= 3i - i² + i + i= 4i - 1
Next, we check whether this dot product is zero or not.
If it is zero, then the given vectors are orthogonal.If 4i - 1 = 0, then 4i = 1.
Solving for i, we get:i = 1/4
Since the imaginary part of i is non-zero, we know that the dot product is not zero.
Therefore, the vectors x and y are not orthogonal, and case (ii) is correct: The vectors x and y are not orthogonal.
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y varies directly as x and z. Y is equal to 16 when x=2 and z=4,find Y when x=1 and z=7
Answer:
here's one way: z^x = Y, 7^1 = 7
Y = 7
Step-by-step explanation:
In a bag of gum balls, 30% of the gum balls are blue. There are 12 blue gum balls in the bag. How many total gum balls are in the bag?
Answer:
64
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
Since 30% of the bag is blue, you can setup the equation, \(\frac{3}{10}x=12\) where x is the total number of gumballs in the bag because that is what you are looking for. Simplify and you get \(x=40\). Checking this you get \(12=12\) which is true.
100 points !!!!!!!!!!!!!!!!!! please answer
why cant some foods be eaten in space?
Answer:
It is because of the microgravity.
Step-by-step explanation:
Bread, Alcohol, Salt, Pepper, Soda, etc. cannot be eaten in space due to lack of gravity and microgravity.
A surveyor standing on a horizontal plain can see a volcano in the distance. The angle of elevation
to the top of the volcano is 23°. If the surveyor moves 750 m closer, the angle of elevation is
now 37°. Determine the height of the volcano above the plain.
Height of the volcano = 729
The elevation angle to the peak of the volcano is 23 degrees.
The surveyor goes 750 feet closer to the volcano, and the angle of elevation now equals 37 degrees.
It forms an ABC triangle.
Point A = the volcano's summit
Point B is the volcano's lowest point.
Point C = height of 23 degrees to the volcano
Point D = going 750 towards the volcano and establishing a 37-degree elevation angle
BD = ?
DC = 750
Tan 23 degrees AB/BC
Tan 23 degrees AB = BC
Tan 37 degrees AB/BD
Tan 37 degrees = AB
23 degrees BC Tan 37 degrees BD Tan
(BD +750)
BD (.7536-.4245) = 318.356
BD = 967.35
Height of the volcano = 729
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PLEASE HELPPP I REALLY NEED IT ASAP :C
(the question is in the file)
Answer:
D
Step-by-step explanation:
quadratic formula
Answer:
I hope this is helpful. I had done my calculations and got the answer. The last part in orange is the answer. Your going to have to simplify.
A study examines scores on an employment test and job performance sik months later. This study is most likely attempting to establish a. criterion validity b. face validity c. reliability d. construct validity 11. In the study by Korn, Davis, and Davis, it was determined that department chairs rated B. F. Skinner higher on their "all time" list than historians did. The study featured a(n)scale of measurement. a. nominal b. ordinal c. interval d. ratio
The study is most likely attempting to establish is Criterion validity and the study featured a(n) scale of measurement is Ordinal scale.
10). The study is most likely attempting to establish is: By criterion validity.
Criterion validity measures how well one measure predicts the outcome for another measure.
Here, we are judging how well the scores on the employment test predict the performance of the person.
Nominal Scale: This scale is used to assign labels to variables that have no numerical values.
For eg : Gender (male and female) , colour (brown blue black white)
Ordinal scale: It matters how the values are arranged, but it makes no difference how much they differ.
For eg: 1: Food applications rated from 1 to 5, 5 being the best. If a app is rated as 2 and other is rated as 4 does not mean the later is twice as good as the first.
Interval scale: An interval scale is a numerical scale where the order and size of the difference between the numbers are known. Absolute zero does not indicate absence in an interval scale, it only means there is no value.
For eg: Temperature in degree Celsius. If T1=5o Celsius and T2=15o Celsius this means is a temperature difference of 10o , but with T3=0o does not mean there is no temperature.
Ratio scale: The ratio scale is another numerical scale where the order and size of the difference between the values are known, and where absolute zero denotes the absence of values.
For eg: Salary of people
11). The study featured a(n)scale of measurement is: By ordinal scale
We will rank the chairs on a scale where order counts and the size of the difference is not particularly significant.
Hence, for 10th the option A is correct and for 11th the option B is correct.
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surface area of a cuboid with dimensions of 9cm 5cm and 7cm
4.- En una pastelería han preparado 30 pasteles. Los van a colocar en bandejas de forma que en cada bandeja haya el mismo número de pasteles y no sobre ninguno. ¿De cuántas formas los puede colocar?
Answer:
7 formas
Step-by-step explanation:
En la pastelería, se han preparado 30 pasteles.
Cada bandeja contendrá la misma cantidad de pasteles.
Para encontrar de cuántas maneras puedes ponerlos, tenemos que encontrar los factores de 30. Ellos son:
1, 2, 3, 5, 6, 10, 15, 30
Esto significa que podemos tener:
30 bandejas que contienen 1 bandeja cada una
15 bandejas con 2 tortas cada una
10 bandejas con 3 tortas cada una
6 bandejas con 5 tortas cada una
5 pasteles que contienen 6 pasteles cada uno
3 bandejas con 10 pasteles cada una
2 bandejas con 15 tortas cada una
Esto significa que hay 7 formas de colocar los pasteles.
Use the Divergence Theorem to calculate the surface integral S F · dS; that is, calculate the flux of F across S. F(x, y, z) = 3xy2i + xezj + z3k, S is the surface of the solid bounded by the cylinder y2 + z2 = 9 and the planes x = −3 and x = 3.
To calculate the flux of the vector field \(F = 3xy^2i + xe^zk + z^3k\)across the surface S, which is the surface of the solid bounded by the cylinder \(y^2 + z^2 = 9\)and the planes x = -3 and x = 3, we can use the Divergence Theorem.
The Divergence Theorem states that the flux of a vector field F across a closed surface S is equal to the triple integral of the divergence of F over the region enclosed by S.
First, we need to determine the divergence of F. The divergence of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by div(F) = (∂P/∂x) + (∂Q/∂y) + (∂R/∂z).
In this case, \(F = 3xy^2i + xe^zk + z^3k,\)so we have \(P(x, y, z) = 3xy^2, Q(x, y, z) = xe^z,\)and \(R(x, y, z) = z^3\). Taking the partial derivatives, we find\((∂P/∂x) = 3y^2, (∂Q/∂y) = 0\), and (∂R/∂z) = \(3z^2\).
No can, we evaluate the triple integral of the divergence of F over the region enclosed by S. The region is defined by\(-3 ≤ x ≤ 3, -√9 - z^2 ≤ y ≤ √9 - z^2,\)and -3 ≤ z ≤ 3. Integrating (∂P/∂x) + (∂Q/∂y) + (∂R/∂z) over this region will give us the flux of F across S.
Performing the integration will yield the final numerical result of the flux.
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what is 82/84 - 3/12
Answer:
61/84
Step-by-step explanation:
i just finished doing that problem
Answer: 61/84
Step-by-step explanation:
82
84
−
3
12
=
82
84
+
−3
12
=
41
42
+
−1
4
=
82
84
+
−21
84
=
82+−21
84
=
61
84
A plumber charges a flat fee of $50 plus an additional $20 per hour.
a) Write and equation in slope-intercept form to represent the total cost the plumber will charge
b) How much will it cost for the plumber to work for 4 hours
c) how many hours must the plumber work to obtain $180?
Answer:
a) cost = 50 + 20x, where x is the number of hours worked for.
plot cost on the y-axis and hours on the x-axis.
b) cost = 50 + 20 x 4 = $130
c) 180 = 50 + 20x
130 = 20x
6.5 = x
additional charges increment every hour, so the plumber must work for 7 hours before they obtain $180.
Step-by-step explanation:
A housepainter mixed 2 gallons of blue paint with
every 4 gallons of red paint in order to make purple
paint. Which ratio of gallons of blue paint to gallons
of red paint will make the same shade of purple
paint?
A. 8:12
C. 8:24
B. 3:5
D. 6:12
Answer:
Option D: 6:12 is correct answer.
Step-by-step explanation:
We can find the simplest form of ratio to compare it with the given ratios.
According to given statement,
The ratio is:
\(No.\ of\ Blue\ Paint\ Gallons: No.\ of\ red\ paint\ gallons\\2:4\\Simplifying\\1:2\)
Now we will check if the given options can be simplified to 1:2
So,
Option A:
\(8:12\\2:3\)
Option B:
\(8:24\\1:3\)
Option C:
\(3:5\)
Option D:
\(6:12\\1:2\)
As we can see that 6:12 can be simplified to 1:2 which is same as 2:4 so it will make the same shade of purple.
Hence,
Option D: 6:12 is correct answer.
ANSWERS NEEDED TODAY!!!!!
1:5x=2x+24
2:4x-2+10x+14=180
3:x+4+3x+2=90
question 9 of 10 explain how you can determine the sign of the sum of two integers if one integer is positive and the other integer is negative.
To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.
If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.
On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.
In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.
By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.
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the mean number of words per minute (wpm) read by sixth graders is 89 with a standard deviation of 16 wpm. if 66 sixth graders are randomly selected, what is the probability that the sample mean would be greater than 92.25 wpm?
If 66 sixth graders are randomly selected, the probability that the sample mean would be greater than 92.25 wpm is approximately 0.2142 or 21.42%.
If the sample size is sufficient, we can apply the theorem of central limitation to determine the pattern of distribution of sample means. Since n = 66 is a big enough number in this situation, we may use a normal distribution to roughly comparable the distribution of the sample means.
The general population's mean, which is 89 wpm, is the same as the mean value of the sample means. The following formula can be used to identify the average deviation of the sample means, commonly referred to as the standard deviation or error of the mean:
Standard error is equal to standard deviation squared.(sample size) Standard deviation: 16 squared(66) standard deviation: 1.969 Using the following formula, we can now standardise the sample mean: The formula for z is (sample mean - population mean) / standard error. z = (92.25 - 89) / 1.969 z = 1.732
We may determine the probability when a standard normal random variable is greater than 1.732 using the standard normal distribution table or calculator. This likelihood is roughly 0.0429, or 4.29%. we must remember that rather than just looking for any random variable, we are seeking for the probability that a sample mean is higher than 92.25 wpm. As a result, we must use the sample mean distribution, which we roughly categorized as a normal distribution.
The z-score must then be converted using the following formula to its original units of measurement: Sample mean equals population mean plus z times the standard error. 89 + 1.732 * 1.969 is the sample mean.
92.25 is the sample mean.
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An inscribed angle is an angle whose vertex is a point on a circle and whose sides are two _____ of the circle
An inscribed angle is formed by two chords of a circle that intersect at a vertex located on the circle.
The angle itself is formed by the two sides of the angle, which are the line segments connecting the vertex to the endpoints of the chords. The property that makes inscribed angles interesting is that the measure of an inscribed angle is half the measure of the intercepted arc on the circle.
This relationship holds true for any inscribed angle in a circle, making it a useful concept in geometry for solving problems involving angles, arcs, and circles.
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A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO, p, is less than 3 in every one thousand. Express the null and alternative hypotheses in symbolic form using the given parameter.
Symbolically, we can represent the null hypothesis as H0: p ≥ 0.003, and the alternative hypothesis as Ha: p < 0.003, where p is the true proportion of Americans who have seen a UFO.
In statistical hypothesis testing, the null hypothesis (H0) represents the default assumption or the status quo, which is assumed to be true until there is sufficient evidence to suggest otherwise. In this case, the null hypothesis is that the proportion of Americans who have seen a UFO, denoted by p, is greater than or equal to 3 in every one thousand.
The alternative hypothesis (Ha) represents the opposite of the null hypothesis, suggesting that there is evidence to reject the null hypothesis in favor of an alternative claim. In this case, the alternative hypothesis is that the proportion of Americans who have seen a UFO is less than 3 in every one thousand. This alternative hypothesis represents the claim made by the skeptical paranormal researcher.
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