Answer:Its domain is all real numbers. Its range is all real numbers greater than or equal to zero. Its graph lies completely above the x-axis.
Using the standard normal distribution, find the two Z-scores that that form the middle shaded region. The shaded region is symmetric about z = 0. Round your Z-scores to two decimal places.Negative z-score -Positive Z-score
The negative z-score = -0.84 and the Positive Z-score = 0.84.
The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1. The shaded region in the question is symmetric about z = 0 and forms the middle part of the distribution.
Standard deviation is a measure of the spread or dispersion of a set of data. It tells us how much the individual observations in a dataset vary from the mean of the dataset.
The formula for the standard deviation of a dataset is:
σ = √( Σ (x_i - μ)^2 / n)
The middle shaded region is known as the central region, it represents the middle part of the distribution, and it covers the area between two Z-scores, one negative and one positive. The area of the central region is typically given as a percentage.
For example, if the shaded region represents 68% of the total area under the standard normal distribution curve, then the two Z-scores that form the boundaries of the shaded region are the Z-scores that correspond to the 16th and 84th percentiles of the standard normal distribution. These Z-scores are -0.84 and 0.84 respectively.
So, the negative z-score = -0.84 and the Positive Z-score = 0.84.
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y = 2x+3
y=2x+1
Solving systems of equations by graphing
Answer:
No solution
Step-by-step explanation:
When the slopes are the same: 2, the lines will be parallel
Sheleah and her family are planning a trip from Los Angeles, California to Melbourne, Australla. Whille booking her
family's plane tickets, she notices on the itinerary that the airline is offering a sixteen hour straight flight from Los
Angeles to Melbourne on a Boeing 747-8 Intercontinental Jet. In an effort to learn more about the capabilities of the Jet,
Sheleah does a little research and stumbles upon the following graph and facts about the Jet's fuel consumption.
Boeing 747-8 Intercontinental Jet
Jet Fuel Available (gallons)
70,000
60,000
50,000
40,000
30,000
20,000
10,000
63,500
2
55,562.5
3
4
47,625
39,687.5
31,750
23,812.5
9
7
8
10
Flight Time (hours)
11
12
15,875
13
14
7,937.5
15
17
The Boeing 747-8 Intercontinental Jet can carry approximately 63,500 gallons of jet fuel, making it possible for the Jet to
travel 14,430 kilometers before needing to refuel.
Create a linear model that represents the amount of fuel on the plane, In gallons, as a function of the flight time, In hours.
Show all of your work.
PLEASE HELP I NEED TO FINISH BY TONIGHT I WILL GIVE YOU 20 points
The required linear model is y = 3968.75x + 63,500 that represents the amount of fuel on the plane (as y), in gallons, as a function of the flight time(as x), in hours.
What is the Linear function?A linear function is defined as an equation in which the highest exponent of the variable is always one.
The graph is given in the question, as shown
Let y be represents the amount of fuel on the plane, in gallons,
And x represents the function of the flight time, in hours.
As per the given graph, we take two points (0, 63,500) and (16, 0)
y - 63,500 = [(0-63,500)/(16-0)](x-0)
y - 63,500 = (63,500/16)x
y - 63,500 = 3968.75x
y = 3968.75x + 63,500
Thus, the required linear model is y = 3968.75x + 63,500.
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Gina brought a notebook for 6.59 a backpack for 24.95 and a pen for 3.98 she paid 2.56 in sales tax and she had 2.81 left how much money did Tina have before her purchase
Gina had an amount of 40.89 before her purchase
How to calculate the amount of money that Gina had before her purchase ?Gina made the following purchases
Notebook= 6.59
Backpack= 24.95
Pen= 3.98
She also paid 2.56 in sales tax and she had 2.81 left
Her initial amount before purchase is
6.59 + 24.95+3.98+2.56+ 2.81
= 40.89
Hence Gina had 40.89 before here purchase
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What do you know about the solution(s) to the system of linear equations
PLS I DONT UNDERSTAND
Answer:
see explanation
Step-by-step explanation:
given a system of equations graphically , then the solution is at the point of intersection of the 2 lines.
However, the 2 lines shown are parallel and never intersect and therefore have no solution.
what is the answer to 15/4 + 7/12 x 3/28
The ratio of 2 or more integers is known as fraction. The answer to the given expression is 3 13/16
Solving and simplifying rational expressionsFractions are written as a ratio of two integers. Fractions are written in the form a/b
Given the expression below:
15/4 + 7/12 x 3/28
Required
Simplified form of the expression
On solving, we will have;
15/4 + (7/12 x 3/28)
15/4 + (1/4 x 1/4)
15/4 + 1/16
Find the LCM of the resulting sum
15/4 + 1/16= [4(15)+1]/16
15/4 + 1/16 = 61/16
15/4 + 1/16 = 3 13/16
Hence the answer to the given expression is 3 13/16
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HelppppppppPppppppppppp
Answer: Hello sorry i read the question wrong at first. but the answer id relation 1, 2 and 3.
Step-by-step explanation: all inputs (x) have to have different outputs (y) :)
Do the following question 7(x + 3) < 5x + 13?
Answer:
x < - 4
Step-by-step explanation:
7(x + 3) < 5x + 13 ← distribute parenthesis on left side
7x + 21 < 5x + 13 ( subtract 5x from both sides )
2x + 21 < 13 ( subtract 21 from both sides )
2x < - 8 ( divide both sides by 2 )
x < - 4
A formally living, organic sample has been excavated from an archeological dig. It is known that this sample is supposed to contain 3.2 micrograms of Carbon-14. Tests show it currently has 2.1 micrograms of Carbon-14.
Using the fact that Carbon-14 has a half-life of approximately 5730 years, how long ago did this specimen die?
(Round your answer to the nearest whole number year.)
Answer:
This specimen died 3482 years ago----------------------------
Let the number of passed years be x.
Use the equation for half-life:
[tex]N(t) = N_0 * (1/2)^{x/th}[/tex], where N(t) - remaining quantity, N₀ - initial quantity, x - time passed, th - half-life periodSubstitute given values and solve for x:
[tex]2.1 = 3.2*(1/2)^{x/5730}[/tex][tex](1/2)^{x/5730} = 2.1/ 3.2[/tex][tex]x/5730=log\ (2.1/3.2) /\ log\ (1/2)[/tex][tex]x = 5730*log\ (2.1/3.2) /\ log\ (1/2)[/tex][tex]x=3482[/tex]Many firms use on-the-job training to teach their employees new software. Suppose you work in the personnel department of a firm that just finished
training a group of its employees in new software, and you have been requested to review the performance of one of the trainees on the final test that
was given to all trainees. The mean and standard deviation of the test scores are 77 and 2, respectively, and the distribution of scores is mound-shaped
and symmetric. Suppose the trainee in question received a score of 74. Compute the trainee's z-score.
The trainee's z-score is -1.5.
What is z- score?An illustration of a standardized score is the z-score. A z-score calculates how far a data point deviates from the distribution's mean by standard deviation.
The formula for calculating a z-score is is z = (x-μ)/σ,
where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Given:
Mean= 77
standard Deviation = 2
x= 74
Using z score formula
Z score = (x - μ)/ σ
Z score = (74 - 77)/ 2
Z score = -1.5
Now, the P-value from Z-Table:
P(x<74) = 0.066807
P(x>74) = 1 - P(x<74)
= 0.93319
P(74<x<77) = 0.5 - P(x<74)
= 0.43319
Hence, the z- score is -1.5.
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Drone sales for a New York based firm over the last 4 weeks are depicted in the table below Week Unit Sales 1 7002 7243 7204 728What is the equation of the trend line and the predicted sales for week 6?a.718 + 10t and 798 b. 730 + 8t and 778 c. 734+10t and 774d. 698+8t and 746
The predicted sales for the week 6 is 746.
By applying a linear equation to the observed data, linear regression aims to demonstrate the link between two variables. According to the theory, one variable should be an independent variable and the other should be a dependent variable. For instance, the relationship between a person's weight and height is linear. As a result, this demonstrates a linear relationship between an individual's height and weight. The weight of the individual increases along with their height.
We can determine the intercept and slope values for the regression model in the instance of linear regression using an Excel method.
The equation is created from the aforementioned facts.
Forecast = A + B(x)
Where A is the intercept of the data, B is the slope, and x is the period.
Intercept = INTERCEPT ( RangeY, RangeX )
Slope = SLOPE (RangeY, Range X)
Now the data corresponds to an intercept value of 698 and a slope of 8.
Therefore, for period 6, x = 6
The equation = 698 + (8 * 6) = 746
The intermediate calculations are in the table below:
PERIOD UNITS FORECAST
______________________
1 700 706
2 724 714
3 720 722
4 728 730
5 738
6 746
Therefore, the predicted sales for week 6 is 746.
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If the following data were linearized using logarithms, what would be the
equation of the regression line? round the slope and yintercept of the
regression line to three decimal places.
x
y
1
1
2
21
3
121
4
621
53121
For given data , the equation of the regression line is:
y = 2.03 ln(x) - 0.205
Consider given data.
x 1 | 2 | 3 | 4 | 5
y 1 | 21 | 121 | 621 | 3121
We need to find the equation of the regression line, if the given data linearized using logarithms.
Now we find the logarithms of y-values.
log(1) = 0
log(21) = 1.322
log(121) = 2.0828
log(621) = 2.7931
log(3121) = 3.4943
So, we get coordinates of the points: (1, 0), (2, 1.322), (3, 2.0828), (4, 2.7931), (5, 3.4943)
from the graph of given data, the equation of the regression line is:
y = 2.03 ln(x) - 0.205
where slope of the regression line is 2.03
and the y-intercept is c = -0.205
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4
select the correct answer from each drop-down menu.
martin and clara decide to keep track of the number of different colors in two brands of tennis shoes, brand a and brand b. their results are represented by the dot plots.
1)the mean absolute deviation for brand a is .____
2)the mean absolute deviation for brand b is .____
3)the mean absolute deviations for the two brands____ similar.
choices for the lines:
1)1.905, 2.02, 4.9, 8,
2)1.905, 2.02, 5, 5.55
3)are not, are
Brand A's mean absolute deviation is 2.02, whereas brand B's is 1.905, showing that the two brands' mean absolute deviations ARE comparable.
What's the short, sweet definition?A group of at least two numbers is simply averaged mathematically to get the term "mean." There are several ways to calculate the mean for one given collection of numbers, including as the arithmetic mean approach, which utilizes the sum of the series' values, and the root - mean - square method, which takes the average of a group of products.
For every dot plot, determine the mean absolute deviation.
Deviation from the mean for Brand A:
The points are, 1,1,2,2,2,3,4,4,5,5,5,5,6,6,7,7,8,8,8,9
Mean = (1 + 1 + 2 + 2 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 6 + 7 + 7 + 8 + 8 + 8 + 9)/20 = 98/20
Mean = 4.9
Mean Absolute Deviation = [(1 - 4.9) + (1 - 4.9) + (2 - 4.9) + (2 - 4.9) + (2 - 4.9) + (3 - 4.9) + (4 - 4.9) + (4 - 4.9) + (5 - 4.9) + (5 - 4.9) + (5 - 4.9) + (5 - 4.9) + (6 - 4.9) + (6 - 4.9) + (7 - 4.9) + (7 - 4.9) + (8 - 4.9) + (8 - 4.9) + (8 - 4.9) + (9 - 4.9)] / 20
= [(3.9) + (3.9) + (2.9) + (2.9) + (2.9) + (1.9) + (0.9) + (0.9) + (0.1) + (0.1) + (0.1) + (0.1) + (1.1) + (1.1) + (2.1) + (2.1) + (3.1) + (3.1) + (3.1) + (4.1)] / 20
= 40.4/20
Brand A's mean absolute deviation was 2.02, while Brand B's was:
The points are, 1,3,3,4,4,4,4,4,5,5,5,6,6,6,6,8,8,9,10,10
Mean = (1 + 3 + 3 + 4 + 4 + 4 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 8 + 8 + 9 + 10 + 10)/20
Mean = 111/20 = 5.55
Mean Absolute Deviation = [(1 - 5.55) + (3 - 5.55) + (3 - 5.55) + (4 - 5.55) + (4 - 5.55) + (4 - 5.55) + (4 - 5.55) + (4 - 5.55) + (5 - 5.55) + (5 - 5.55) + (5 - 5.55) + (6 - 5.55) + (6 - 5.55) + (6 - 5.55) + (6 - 5.55) + (8 - 5.55) + (8 - 5.55) + (9 - 5.55) + (10 - 5.55) + (10 - 5.55)] / 20
Deviation from the mean is 38.1/20.
Brand B's mean absolute deviation is 1.905.
As a result, the following judgment is made regarding the outcomes illustrated by the determine the exact location:
For brand A, the average absolute deviation is 2.02
For brand A, the average square deviation is 1.905.
For the two brands, the Average Absolute Deviation IS comparable.
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The complete question is-
Martin and Clara decide to keep track of the number of different colors in two brands of tennis shoes, brand A and brand B. Their results are represented by the dot plots. The mean absolute deviation for brand A is____ The mean absolute deviation for brand B is__ The mean absolute deviations for the two brands ___ similar.
If 4^3rootx^10+(5x^3)^3root8x, what is the sum of in simplest form?
The sum of the expression 4∛(x¹⁰) + 5x³∛(8x) in the simplest form will be 14x³ ∛x.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ 4∛(x¹⁰) + 5x³∛(8x)
Simplify the expression, then we have
⇒ 4∛(x¹⁰) + 5x³∛(8x)
⇒ 4∛[(x³)³ · x] + 5x³∛(2³ · x)
⇒ 4x³ ∛x + 10x³ ∛x
⇒ 14x³ ∛x
The sum of the expression 4∛(x¹⁰) + 5x³∛(8x) in the simplest form will be 14x³ ∛x.
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Martina finished her chemistry assignment in 2/5 hours. then she completed her math assignment in 1/4 hrs. what was the total amount of time martina spent doing these two assignment
The total amount of time Martina spent doing these two assignments will be 13/20 Hr.
Total time taken by Martina to complete her chemistry assignment = (2/5) Hr.
Total time taken by the Martina to complete her maths assignment = (1/4) Hr.
One of the four fundamental operations in mathematics is addition, along with subtraction, multiplication, and division. The entire amount or sum of the two whole numbers is obtained by adding them.
So, for determining the total amount of time martina spent doing these two assignment, we need to add the value of time taken by her in completing both the assignment.
So, the value of total amount of time taken by Martina for completing both the assignment will be = (2/5)+)1/4) Hr.
=(8+5)(20)=13/20 Hr.
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find the local maximum and minimum values and saddle point(s) of the function. you are encouraged to use a calculator or computer to graph the function with a domain and viewpoint that reveals all the important aspects of the function. (enter your answers as comma-separated lists. if an answer does not exist, enter dne.) f(x, y)
Answer:
to get your answer you have to. Then after that, and finally
Quizz guyz •^•
What is the minimum length runway needed to accommodate airplanes that can accelerate uniformly at 2.7 m/s2 and must reach a ground velocity of 64 m/s before they can?
• Use Method
• Neat
• No nonsense
• No alien language
Notes : Hi, I'm actually originally from Indonesia, sorry if my words are a bit lacking. Greetings from Indonesia guys
Answer:
758.295 meters
Step-by-step explanation:
If for any reason my answer is wrong, feel free to correct me.
As per your question,
The airplanes accelerate uniformly at 2.7 meters per second^2
And they must reach a ground velocity of 64 m/s.
Therefore
S(Displacement) = u(initial velocity) x time + 1/2(acceleration x time^2)
Initial Velocity = 0 m/s(airplane is at rest)
Acceleration is 2.7m/s^2
Time = ?
Acceleration = Final Velocity - Initial Velocity / Time(t)
2.7 m/s^2 = 64 m/s - 0 m/s / t
2.7(t) = 64
t = 64/2.7
t = 23.703703... rounded to 23.7
S = 0(23.7) + 1/2[2.7 x (23.7)^2]
S = 1/2(2.7 x 561.7) 561.69 is the original answer rounded to 561.7
S = 758.295 meters
Final Answer - An airport would require a runway of minimum length of 758.295 meters to accommodate aircraft of the respective specifications.
2.7 m/s^2 = 64 m/s 0 m/s/t
2.7(t) = 64
t = 64 ÷ 2,7
t = 23.703
or => 23,7
S = 0×(23.7) + 1/2[2,7 × (23,7)²]
S= 1/2(2.7 × 561.7)
S = 758.295 meters
In conclusion:the speed of the plane is 758.295 meters
What are the 3 types of graphs we use to compare data?
Pie charts, bar charts, area charts, or bubble charts are the 3 types of graphs we use to compare data
The pie chart is used for relative comparison, which is strongly discouraged by a lot of data visualizers because it takes up too much space but the information value provided is very little unless more visual aids are provided which then is meaningless.
Bar charts are used for precise comparison, Comparing parts of a bigger set of data, highlighting different categories, or showing change over time.
Having a long categories label which offers more space, and If you want to illustrate both positive and negative values in the dataset.
If you want to compare volumes, use an area chart or a bubble chart.
The area chart shows part-to-whole relations and portrays the volume of your data and not just the relation to time.
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Sam needs to rent a car for a one-week trip to oregon. he is considering two companies: a+ auto rental: $175 plus $0.10 per mile zippy auto rental: $220 plus $0.05 per mile. write and solve a system of equations to determine when the rental costs are the same for both companies.
The one-to-one functions g and h are defined as follows.
8(x).
-x-3
11
h-((-2, 5), (1, -8), (4, 6), (6, 1), (9, 7))
Find the following.
8 ¹(x) - 0
(8¹-8)(-3) -
8
X
3
Answer:
Step-by-step explanation:
It is unclear what is being asked in this question. The information provided does not make logical sense and it's hard to understand what is being asked. Could you please provide more information or rephrase the question?
decision point: determining the first step as the marketing consultant for bolt, you need to determine the first step in understanding the underlying motivations of bolt's consumers. what method of research do you think would best help bolt understand its consumers' purchase motivations? select an option from the choices below and click submit. talk in depth to a few consumers for an extended period of time. ask many consumers many questions in a representative statistical sample. ask many consumers a few brief questions
I would recommend asking many consumers a few brief questions in a survey. This method would help Bolt quickly and easily obtain a broad view of its consumers’ purchase original cost motivations, which could then be analyzed to develop more targeted strategies.
Surveys are a great way to quickly obtain a broad view of a target audience’s motivations for purchase. By asking many consumers a few brief questions, Bolt can gain insight into what motivates them to purchase their products, or why they may choose not to purchase them. This data can then be analyzed to develop more targeted strategies to increase sales. Surveys also provide an efficient way to sample a large number of people, allowing Bolt to get a representative statistical sample of its consumers’ motivations. This data can also be used to inform future marketing campaigns, allowing Bolt to better target their customers and maximize sales.
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Need helpppp plsssssss
Answer:
C) 8 : 1
Step-by-step explanation:
To find our ratio, we will multiply both sides by 20 to get rid of fractions, this gives us:
[tex]\frac{2}{5} * 20 : \frac{1}{20} * 20[/tex]
8 : 1
So, the ratio is C) 8 : 1.
The reason the answer is C), and not B) is because C) is the most simplified form.
Hope this helped!
Answer:
The answer is C) 1:8
Step-by-step explanation:
2/5 is equal to 8/20
so if you compare 8/20 to 1/20 the answer is c
A triangle has side lengths of 5 a 3 inches and 2 a 3 inches. If the perimeter of the triangle is 9 a 12 inches, which expression represents the length, in inches, of the third side of the triangle
The expression that represents the length, in inches, of the third side of the triangle is 5 + 2 = 7 a 3 inches.
What is triangle?A triangle is a three-sided geometric shape that has three angles and three sides. The three sides all join together at the vertices to form a closed shape. Triangles are one of the most basic shapes and can be found in many objects and structures in nature, such as mountains, trees, and the human body. Triangles can also be seen in architecture, artwork, and mathematics.
This can be calculated by subtracting the sum of the two given side lengths (8 a 6 inches) from the given perimeter (9 a 12 inches). The difference of 1 a 6 inches is equal to the third side length of the triangle (7 a 3 inches).
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What is true solution Class 9 Example?
True solution is a homogeneous mixture of two or more substances in which the particles of solute are dispersed uniformly throughout the solvent. An example of a true solution is a mixture of salt and water.
True solution is a type of homogeneous mixture in which the particles of solute ( the substance that is dissolved ) are dispersed uniformly throughout the solvent (the substance that is doing the dissolving). The particles of solute are too small to be seen with the eye and the mixture appears to be one single substance. An example of a true solution is a mixture of salt and water. The salt molecules are dispersed evenly throughout the water, producing a salty taste throughout the entire solution.
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The owner of Paradise Pets works hard to keep her store clean. It takes her 15 minutes to clean 2 hamster cages.
Complete the table.
Minutes 15 30
90
Cages cleaned 2
8
Graph the data from the table.
The completed table specifying the values obtained from the proportional relationship between the time in minutes and the number of cages cleaned is presented as follows;
Minutes; [tex]{}[/tex] 15 30 60 90
Cages cleaned; [tex]{}[/tex]2 4 8 12
Please find attached the graph of the above table created with MS Excel.
What is a proportional relationship?A proportional relationship is one in which the values of the output variable is a constant multiple of the input variable.
The time it takes the owner of Paradise Pets to clean the 2 hamster cages = 15 minutes
The table of values obtained from a similar question is presented as follows;
Minutes; [tex]{}[/tex] 15 30 90
Cages cleaned; [tex]{}[/tex] 2 8
The relationship between the number of cages cleaned and the time it takes, taken as a proportional relationship, indicates that we get;
Cages cleaned = k × Minutes
Where;
k = The constant of proportionality
k = Cages cleaned ÷ Minutes
The number of cages cleaned in 15 minutes = 2 cages, therefore;
k = 2 ÷ 15 = 2/15
The number of cages cleaned in 30 minutes is therefore;
Cages cleaned = (2/15) × 30 = 4
The cages cleaned in 30 minutes = 4 cages
The time it takes to clean 8 cages is found as follows;
Minutes = Cages cleaned ÷ k
Minutes to clean 8 cages = 8 ÷ (2/15) = 60
The time it takes to clean 8 cages = 60 minutes
The number of cages cleaned in 90 minutes = (2/15) × 90 = 12
The number of cages cleaned in 90 minutes = 12 cages
The completed table is therefore;
Minutes; [tex]{}[/tex] 15 30 60 90
Cages cleaned; [tex]{}[/tex] 2 4 8 12
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solve the given initial-value problem. d2x dt2 + ω2x = f0 sin ωt, x(0) = 0, x '(0) = 0
By solving the given initial value the value of x(t) is [tex]\frac{F_0}{2 \omega^2}[/tex] (sinωt - ωt cosωt)
As per the data given in the question the given differential equation will be:
[tex]\frac{d^{2} x}{dt^{2} }[/tex] + [tex]\omega^2 x=f_0[/tex] sin ωt,
x(0) = 0, x'(0) = 0
Now we have to determine the value of x(t).
Consider the differential equation:
x'' + [tex]\omega^2 x=f_0[/tex] sin ωt, x(0) = 0, x'(0) = 0.
Laplace transformation:In order to translate a given derivative function with a real variable t into a complex function with a variable s, one uses the Laplace transformation.
Laplace transformation is important in the design of control systems. It is necessary to perform Laplace transforms on several functions in order to analyze the control system.
Apply Laplace transformation on both sides,
[tex]&\left(s^2 L\{x(t)\}\right.\left.-s y(0)-y^{\prime}(0)\right)+\omega^2 \mathcal{L}\{x(t)\}=\frac{F_0 \omega}{s^2+\omega^2} \\[/tex]
[tex]&\left(s^2+\omega^2\right) \mathcal{L}\{x(t)\}=\frac{F_0 \omega}{s^2+\omega^2} \\[/tex]
[tex]& \mathcal{L}\{x(t)\}=\frac{F_0 \omega}{\left(s^2+\omega^2\right)^2} \\[/tex]
[tex]& x(t)=F_0 \omega \mathcal{L}^{-1}\left\{\frac{1}{\left(s^2+\omega^2\right)^2}\right\} \\[/tex]
[tex]& \Rightarrow x(t)=\frac{F_0 \omega}{2 \omega^3}[/tex] (sin ωt -ωt cos ωt)
[tex]& \Rightarrow x(t)\left.=\frac{F_0}{2 \omega^2}[/tex] (sin ωt -ωt cos ωt)
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Solve the given initial-value problem. [tex]\frac{d^{2} x}{dt^{2} }[/tex] + [tex]\omega^2 x=f_0[/tex] sin ωt, x(0) = 0, x'(0) = 0 and x(t)=?
the number of red chips and white chips in an urn is unknown, but the proportion, p, of reds is either 1/ 3 or 1/2 . a sample of size 5, drawn with replacement, yields the sequence red, white, white, red, and white. what is the maximum likelihood estimate for p
The maximum likelihood estimate for p is 1/2, as it maximizes the likelihood of observing the sequence.
What is algebra ?
Algebra is a branch of mathematics in which letters and symbols are used to represent numbers and quantities in equations and formulas. Algebraic concepts include operations such as addition, subtraction, multiplication, and division, as well as the manipulation of equations
The maximum likelihood estimate (MLE) for p is the value that maximizes the likelihood function, which represents the probability of observing a particular sequence of red and white chips given the assumed distribution of reds and whites. In this case, we have two options for the proportion of reds, either 1/3 or 1/2. To calculate the likelihood of observing the sequence red, white, white, red, and white given p = 1/3, we calculate (1/3)(2/3)(2/3)(1/3)(2/3) = 4/243. To calculate the likelihood of observing the sequence given p = 1/2, we calculate (1/2)(1/2)(1/2)(1/2)(1/2) = 1/32. As we can see, the maximum likelihood estimate for p is 1/2, as the likelihood of observing this sequence given p = 1/2 is greater than the likelihood of observing this sequence given p = 1/3.
The maximum likelihood estimate for p is 1/2, as it maximizes the likelihood of observing the sequence.
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Find the vector, not with determinants, but by using properties of cross products, (j - k) times (k - i) Use the given vectors to answer the following questions. a = <1, 3, 3>, b = <-3, 3, 0>, c = <0, 0, -3> Find a times (b times c). a times (b times c) = < > Find (a times b) times c. (a times b) times c = < >
According to the claim, cross product properties rather than determinants are used to define the vector i + j + k. By usig the supplied vectors a * (b *c) is < 27, -27, 18> and (a * b) * c is < 27, -27, 0>
What is a vector, exactly?A vector is a quantity or phenomenon with independent properties both to and direction. The scientific or geometrical depiction of a quantity is another meaning of the word. Among the components of vectors seen in nature are force, weight, electric interfering, and movement.
1). (j-k) * (k-i)
= (j*k) - (j*i) - (k*k) + (k*i)
= I - (-k) - (0) + (j) (j)
= i + j + k
(2). (a). (b*c)
[tex]\left|\begin{array}{ccc}j & j & k \\-3 & 3 & 0 \\0 & 0 & -3\end{array}\right|[/tex]
= i(-9-0)-j(9-0)+k(0-0)
= -9i - 9j + 0k
= < -9, -9, 0>
Then, a*(b*c)
[tex]\left|\begin{array}{ccc}i & j & k \\1 & 3 & 3 \\-9 & -9 & 0\end{array}\right|[/tex]
i (0+27) - j (0+27) + k(-9 + 27)
= 27i -27j + 18k
= < 27, -27, 18>
(b). (a*b)
[tex]\left|\begin{array}{rrr}i & j & k \\1 & 3 & 3 \\-3 & 3 & 0\end{array}\right|[/tex]
= i(0-9) - j(0+9) + k (3+9)
= -9i - 9j + 12k
= < -9, -9, 12>
(a*b)*c
[tex]\left|\begin{array}{ccc}4 & j & k \\-9 & -9 & 12 \\0 & 0 & -3\end{array}\right|[/tex]
= i(27-0) - j(27-0) + k (0-0)
= 27i - 27j + 0k
= < 27, -27, 0>
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The complete question is-
friend 1
horizon communications
cost of new phone: included
monthly fee: $30
cost per 100 minutes : $12
EQUATION:__________
Friend 2:
splint wireless
cost of new phone: included
monthly fee: $15
cost per 100 minutes: $15
EQUATION:________
The equation of the transaction of friend 1 is; y = 0.12x + 30
The equation of the transaction of friend 2 is; y = 0.15x + 15
How to solve linear equation word problems?The general form if the equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Friend 1;
Cost of the new phone including monthly fee = $30
Cost per 100 minutes = $12
Thus, cost per minute = 12/100 = $0.12 per minute
The cost per minute is simply the slope here while $30 is the y-intercept and as such the equation is;
y = 0.12x + 30
Friend 2;
Cost of the new phone including monthly fee = $15
Cost per 100 minutes = $15
Thus, cost per minute = 15/100 = $0.15 per minute
The cost per minute is simply the slope here while $15 is the y-intercept and as such the equation is;
y = 0.15x + 15
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The polynomial function C(n) = 3n3 − 4n2 + 250n + 75,000 gives the cost of manufacturing and packaging n units of a product at a factory. How many units of the product would cost $627,000 to manufacture and package, rounded to the nearest whole number?
THIS IS FOR A TEST PLEASE HELP
The cost will be $627,000 for about n = 59 units made.
How many units of the product would cost $627,000?We know that the polynomial function:
C(n) = 3n^3 - 4n^2 + 250b + 75,000
Gives the cost of producing n products.
We want to find the value of n, such that the cost is $627,000
So we need to solve the cubic equation:
3n^3 - 4n^2 + 250n + 75,000 = 627,000
Now we can subtract 627,000 in both sides to get:
3n^3 - 4n^2 + 250n - 619,500 = 0
And now we can graph that equation and find the intercepts:
There you can see that the intercept is at n = 59, so that is the answer.
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