Answer:
need to spend $18 more in addition to $12
Step-by-step explanation:
Given: According to online music store, if you spend $30 or more, you receive 3 songs for free
To find: How much more money need to be spend in addition to $12 to receive three free songs
Solution:
Let x denotes amount to be spend in addition to $12 to receive three free songs
According to question,
\(x+12\geq 30\\x\geq 30-12\\x\geq 18\)
please all quesitons solve matlab
X 1 2 3 5 F(x) 3 6 19 99 Calculate f(4) using Newton's interpolating polynomials of a) 1st order b) 2nd order c) Create an algorithm in matlab 7 291 8 444
To solve these questions using MATLAB, we can utilize the "polyfit" and "polyval" functions for polynomial interpolation. Here's how you can calculate f(4) using Newton's interpolating polynomials for each order:
a) 1st order:
To calculate f(4) using a 1st order polynomial interpolation, we need two data points. In this case, we can use the points (3, 19) and (5, 99).
% Data points
X = [3, 5];
F = [19, 99];
% Perform 1st order polynomial interpolation
coefficients = polyfit(X, F, 1);
% Calculate f(4)
x = 4;
f_1st_order = polyval(coefficients, x);
The variable f_1st_order will store the value of f(4) calculated using the 1st order polynomial interpolation.
b) 2nd order:
To calculate f(4) using a 2nd order polynomial interpolation, we need three data points. In this case, we can use the points (2, 6), (3, 19), and (5, 99).
% Data points
X = [2, 3, 5];
F = [6, 19, 99];
% Perform 2nd order polynomial interpolation
coefficients = polyfit(X, F, 2);
% Calculate f(4)
x = 4;
f_2nd_order = polyval(coefficients, x);
The variable f_2nd_order will store the value of f(4) calculated using the 2nd order polynomial interpolation.
c) Algorithm:
To create an algorithm in MATLAB to calculate f(4) based on the provided data points (7, 291), (8, 444), we can follow a similar approach as before.
% Data points
X = [7, 8];
F = [291, 444];
% Perform polynomial interpolation
coefficients = polyfit(X, F, numel(X) - 1);
% Calculate f(4)
x = 4;
f_algorithm = polyval(coefficients, x);
The variable f_algorithm will store the value of f(4) calculated using the polynomial interpolation algorithm.
Note: Make sure to execute the code in MATLAB to obtain the desired results.
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Paul wants to buy a bicycle that costs $86.50. He has saved $60. He earns $5.30 an hour working after school and can save half of his total earnings. How many hours will he have to work to buy the bicycle?
Answer:
10 hours
Step-by-step explanation:
86.50-60=26.50
5.30/2=2.65
2.65*10=25.50
so 10 hours of work to buy the bicycle
Find the values of x and y. Show all your work.
Two large high schools in a city (3000 students in each school) claim they have a higher rate of students who go on to graduate from a 4-year university. 57% of students from school A go on to graduate from a 4 year university and 61% from school B. A random sample of 75 students from school A and 80 from school B are selected and followed to determine if they graduate from a 4-year university.
a. Find the probability that difference in sample proportions is more than 6.
b. What is the probability that School A sample proportion is more than 5% higher than School B?
a. The probability that difference in sample proportions is more than 6% is 0.1056.
b. There is a 0.2677 probability that the sample proportion from School A is greater than 5% than that from School B.
a. We must first determine the standard error of variation between the two sample proportions in order to determine the probability that the difference in sample proportions is greater than 6:
SEp1-p2 = sqrt{ [p1(1-p1)/n1] + [p2(1-p2)/n2] }
where,
P1 = 57% of students are from school A.
p2 = 61% of students are from school B.
Sample sizes from schools A and B were 75 and 80, respectively.
SEp1-p2 = sqrt{ [(0.57)(0.43)/75] + [(0.61)(0.39)/80] }
= sqrt{ 0.00233 + 0.00240 }
= 0.0803
Now, we can find the Z-score as:
Z = (p1 - p2 - D) / SEp1-p2
where,
D = 6% = 0.06
Z = (0.57 - 0.61 - 0.06) / 0.0803
= -1.248
Using a standard normal distribution table, we can find the probability that Z < -1.248 is 0.1056.
Therefore, the probability that difference in sample proportions is more than 6% is 0.1056.
b. To find the probability that School A sample proportion is more than 5% higher than School B, we need to find the standard error of the difference between the two sample proportions:
SEp1-p2 = sqrt{ [p1(1-p1)/n1] + [p2(1-p2)/n2] }
where,
57% of the population in p1 is from school A.
61% of those in p2 are from school B.
75 were included in the sample from school A, while 80 were included in the sample from school B.
SEp1-p2 = sqrt{ [(0.57)(0.43)/75] + [(0.61)(0.39)/80] }
= sqrt{ 0.00233 + 0.00240 }
= 0.0803
Now, we can find the Z-score as:
Z = (p1 - p2 - D) / SEp1-p2
where,
D = 5% = 0.05
Z = (0.57 - 0.61 - 0.05) / 0.0803
= -0.621
We can get the probability that Z -0.621 is 0.2677 by using a standard normal distribution table.
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consider the following residual plot: (in image attached)
a) Calculate the sum of the residual values.
b) Does the residual plot support the claim that the data set displays a linear association between the variables?
(please! help is much appreciated!!!)
a) Sum of the residual values is 0.
b) No, the residual plot doesn't support the claim that the data set displays a linear association between the variables. In the plot, the residuals have an inconsistent spread and are not randomly distributed around the horizontal axis. Therefore, the plot suggests that a linear model is not the most suitable for this data set.
Residuals are the differences between the observed and predicted values of the response variable. The residual plot shows the distribution of these differences on the vertical axis against the fitted values (predicted values) on the horizontal axis. The sum of the residuals is always equal to zero if the linear model is fitted correctly.
The residual plot also provides a way to assess whether the assumptions of a linear model are met. The plot should display a random scatter of the residuals around the horizontal axis, indicating that the linear model is the most suitable for the data set. If the plot shows any patterns, such as a curvature or a funnel shape, it suggests that the linear model is not the most appropriate.
The residual plot in the question doesn't show a random scatter of the residuals. Instead, the plot shows a funnel shape with residuals that have an inconsistent spread, which indicates that the linear model is not the most suitable for this data set.
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whats the square root of 25/441
Answer:
0.01133786848
Step-by-step explanation:
Are polynomials closed under addition and subtraction?
Polynomials form a system like to that of integers hence they are closed under the operations of addition and subtraction.
Exponents of polynomials are whole numbers.
Hence the resultant exponents will be whole numbers , addition is closed for whole numbers. As a result, polynomials are closed under addition.
If an operation results in the production of another polynomial, the resulting polynomials will be closed.
The outcome of subtracting two polynomials is a polynomial. They are also closed under subtraction as a result.
The word polynomial is a Greek word. We can refer to a polynomial as having many terms because poly means many and nominal means terms. This article will teach us about polynomial expressions, polynomial types, polynomial degrees, and polynomial properties.
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a) Change 65 cm to mm.
Answer
650
explanation:
multiply the length value by 10
Find the value for x for which r ll s. Then find m<1 and m<2. m<1 = (60-2x)to the zero power m<2 = (71 - 3x)to the zero power. The value for x for which r || s is ?
Please help for a Brainly
please be accurate
What are the slope and y-intercept of the line 5x+2y=−22? To earn full credit, show your work
Answer:
Slope: -5/2
Y-Intercept: 0,-11
Step-by-step explanation:
The metric system is based on multiples of 100. Please select the best answer from the choices provided A.True B.False
Answer:
true
Step-by-step explanation:
i think
a pack of bottel of juice cost 9.09 how much does each bottle cost to the nearest cent
Answer:
909 cents
Step-by-step explanation:
There are 100 cents in 1 dollar
9.09 dollars * 100 cents = 909 cents
For i =√√1, what is the value of
(2+3i)(5-7i)?
result is 31+i in where 31 is real part and i is complex part as given i= √-1 and i²= -1
What is called complex number?In mathematics complex number is an element which has two parts one is called real part and the remaining is termed as imaginary part. An example is 41+6i
here, 41 is real part, 6i is imaginary part
What is the system we use for complex number?A real number cannot be added or subtracted with an imaginary number, but a real number can be multiplied or divided with an imaginary number.
We are given, (2+3i) (5-7i)
at first, we expand it by removing parenthesis
2x5-2x7i+3ix5-3ix7i
10-14i+15i-21i²
now like term is added
10+i+21 as we are given i²= -1
31+i
hence, we get 31+i
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2(-4 -2x) +5=25 please answer i well give u 19 points
Answer:
x=-7
Step-by-step explanation:
-8 - 4x+5=25
-3 - 4x=25
-4x=25+3
-4x=28
x=-7
Solve -3 1/2 = 1/2 x + 1/2 x + x.
Answer:if you are solving for x it would be x=-7/4 or -1 3/4
Step-by-step explanation:
Help, brainlest if best explained
Answer:
The correct answer is the first choice.
Step-by-step explanation:
Let's solve your inequality step-by-step.
−2x>6
Step 1: Divide both sides by -2.
\(\frac{-2x}{-2}\) > \(\frac{6}{-2}\)
x < −3 <== this equation matches the graph
In the diagram, the radius of the outer circle is 2x cm and the
radius of the inside circle is 6 cm. The area of the shaded region
is 364 pi cm
Enter your answer in the box.
A six-sided die (with numbers 1 through 6) and an eight-sided die (with numbers 1 through 8) are rolled. What is the probability that exactly one 6 is rolled
The probability that exactly one 6 is rolled is 42.9%
Rolling a six-sided dice and an eight-sided die can yield a variety of results. The probability of rolling exactly one 6 out of the two dice is 6/14, or approximately 42.9%.
This is calculated by taking the total number of ways to roll one 6 (6) and dividing it by the total number of combinations possible (14). This means that there is a 42.9% chance of rolling one 6 when two dice are rolled.
The probability will be calculated by:
6/14
= 0.429
0.42× 100
=42.9
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Help me plzzz
Stefan bought 3 hamburgers and 4 fries for a total cost of $26.50.
Answer:
6.50
Step-by-step explanation:
Answer:
6.50
Step-by-step explanation:
the 7 one is too high to make sense and the rest are to low to make sense its a multiple choice question so it probably one mark for correct answer
the function when x = 3: b(x) = -2x-4
Answer: b(3)=-10
Step-by-step explanation:
Is this what you meant?
If country X has imports valued at $2.9 trillion, exports valued at $1.5 trillion, and GDP valued at $9.8 trillion, calculate the index of openness for country X. Round to two decimal places.
The index of openness is a metric that measures the ratio of a country's total trade (exports plus imports) to its gross domestic product (GDP).
It is a measure of how much a country is open to international trade. If country X has imports valued at $2.9 trillion, exports valued at $1.5 trillion, and GDP valued at $9.8 trillion, the index of openness for country X can be calculated as follows: Index of openness = (Imports + Exports) / GDP Substituting the values for country X.
We get: Index of openness = ($2.9 trillion + $1.5 trillion) / $9.8 trillion Index of openness = $4.4 trillion / $9.8 trillion Index of openness = 0.45Therefore, the index of openness for country X is 0.45 when rounded to two decimal places.
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is -12, -10, -8, and -6 linear, exponential or neither
Answer:
Linear
Step-by-step explanation:
It goes up by 2 each time, so it would be linear.
Please help 25 points
Answer:
5400
Step-by-step explanation:
look at the photo it shows the problems that
in a group of 150 students 20 are freshmen 30 are sophomores 49 are juniors and 51 are senior if a student is randomly selected what is the probability that we select a sophomore before a freshmen
In a group of 150 students, 20 are freshmen 30 are sophomores 49 are juniors and 51 are seniors if a student is randomly selected the probability that we select a sophomore before freshmen is 2.69%.
So the given data we get from the question is as follows,
Total number of students, N = 150
A number of freshmen students, F = 20
The number of sophomore students, S = 30
Number of junior students, J = 49
Number of senior students, R = 51
We need to find the probability of selecting a sophomore student before a freshman student. The probability that a sophomore student is selected first,
P(S) = Number of sophomore students/Total number of students
= S/N
Probability that a freshman student is selected after a sophomore student,
P(F|S) = Number of freshman students left/Total number of students left
= F/N-1
Where N-1 is used because one student has already been selected.
The probability that a sophomore student is selected first and then a freshman student is selected,
P(S∩F) = P(S) × P(F|S)
= S/N × F/N-1
Therefore, the probability of selecting a sophomore student before a freshman student is:
P(S∩F) = S/N × F/N-1P(S∩F)
= 30/150 × 20/149P(S∩
= 0.0269 or 2.69%
Therefore, the probability of selecting a sophomore student before a freshman student is 0.0269 or 2.69%.
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The following data table represents the total cost of a monthly cell phone bill as a function of the number of minutes that the phone is used each month. Minutes 500 750 1,000 1,250 1,500 Total Monthly Cost (in dollars) $62 $77 $92 $107 $122Choose the correct linear model that represents the total monthly cost as a function of time. A y = 0.06 x + 500, B y = 16 x + 32,C y = 62 x + 16, D y = 0.06 x + 32 .
Answer:
ytyt
Step-by-step explanation:
tyt5667
delivered.
a. What is the constant rate of change? What does it represent?
b. What is the initial value? What might that represent?
The constant rate of change and initial value for the given graph are 40 and 20 respectively. the initial value might represent the fixed cost of the soil.
What is the slope of straight line?The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference. The negative slope indicates the rate of decrease while the positive shows the rate of increase.
The given problem can be solved as follows,
(a) The graph given is a straight line that passes through (0, 40) and (10, 240).
The constant rate of change is equivalent to the the slope of the line given as,
⇒ (240 - 40)/(10 - 0) = 20
(b) The initial value of the graph is given as the y-intercept of the line.
Which is given as 40.
It might represent the fixed cost.
Hence, the constant rate of change is given as 40 and the initial value is 20 which might represent the fixed cost.
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The missing graph is attached here.
Let X1, X2, ..., Xn be iid Poisson(). (a) Show that the most powerful test of size a of H:0= 2 vs : = H:0=1 rejects H, when = Xi < c for some constant c. (b) Find an approximate value of c if n=64 and a = 0.05. You may assume that the mean and variance of the Poisson (∅) are both ∅
The most powerful test of size α rejects H:0=2 when the sum of Poisson random variables is less than c. For n=64 and α=0.05, an approximate value of c is 109.484, using a normal approximation to the Poisson distribution.
(a) To show that the most powerful test of size α rejects H when X_i < c, we can use the Neyman-Pearson lemma. According to the lemma, the likelihood ratio test is the most powerful test.
The likelihood ratio is given by
λ(x) = (L(θ₁) / L(θ₀)) = \(e^{-n\theta_0}\) * (\(\theta_0^{\sum{x_i}}\)) / \(e^{-n\theta_1}\) * (\(\theta_1^{\sum{x_i}}\))
Taking the logarithm of the likelihood ratio, we have:
log(λ(x)) = -n(θ₀ - θ₁) + Σx_i(log(θ₀) - log(θ₁))
Since θ₀ = 2 and θ₁ = 1 in this case, the log-likelihood ratio becomes:
log(λ(x)) = -n + Σx_i(log(2) - log(1))
= -n + Σx_i(log(2))
To reject H:0 = 2, we need log(λ(x)) < c' for some constant c'. Therefore, if Σx_i < c, we reject H:0 = 2.
(b) Given n = 64 and α = 0.05, we need to find an approximate value of c such that the probability of Σx_i < c under the null hypothesis H:0 = 2 is approximately equal to 0.05.
Since X_i follows a Poisson distribution with mean θ, the sum ΣX_i follows a Poisson distribution with mean nθ. In this case, n = 64 and θ = 2.
To find the value of c, we can use a normal approximation to the Poisson distribution. Since nθ = 128, the mean of the Poisson distribution is 128.
Using the normal approximation, we can calculate the z-score corresponding to α = 0.05:
z = Z-score for α = 0.05 = -1.645 (from standard normal distribution table)
Now, we can find c such that the probability of ΣX_i < c is approximately 0.05
c = 128 + z * √(nθ) = 128 + (-1.645) * √(128 * 2)
≈ 128 - 18.516
≈ 109.484
Therefore, an approximate value of c for n = 64 and α = 0.05 is 109.484.
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Find the sum of the first 20 terms of the sequence below.
27, - 9, + 3, - 1, ...
The sum of the first 20 terms of the geometric sequence is 20.25.
What is a geometric sequence?A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.
Example:
2, 4, 8, 16, 32 is a geometric sequence.
We have,
27, -9, 3, -1,.....
a = 27
Common ratio:
= -9/27 = -1/3
= 3/-9 = -1/3
The sum of the geometric sequence.
S(n) = a (1 - \(r^n\)) / (1 - r)
Now,
a = 27,
r = -1/3
S(20):
= 27 (1 - \((-1/3)^{20}\)) / (1 + 1/3)
= 27 (1 + 1/\(3^{20}\)) / (4/3)
[ (1 + 1/\(3^{20}\)) = 1 ]
= 27 x 3/4 x 1
= 20.25
Thus,
The sum of the geometric sequence is 20.25.
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What’s the anwer I do not understand this
Answer:
Step-by-step explanation:
So you have to get 2/3 of 128 grams which is about 85 grams. It says she has to mix 64 grams so she went over.
Hope this helps :)
What is the value of x in this diagram? (PLEASE HELP, GIVING 50 POINTS)
A) 52
B) 64
C) 128
D) 138
Answer:
128degrees
Step-by-step explanation:
180-52=128